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Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01001/*
2 * Elliptic curves over GF(p): curve-specific data and functions
3 *
Bence Szépkúti1e148272020-08-07 13:07:28 +02004 * Copyright The Mbed TLS Contributors
Manuel Pégourié-Gonnard37ff1402015-09-04 14:21:07 +02005 * SPDX-License-Identifier: Apache-2.0
6 *
7 * Licensed under the Apache License, Version 2.0 (the "License"); you may
8 * not use this file except in compliance with the License.
9 * You may obtain a copy of the License at
10 *
11 * http://www.apache.org/licenses/LICENSE-2.0
12 *
13 * Unless required by applicable law or agreed to in writing, software
14 * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
15 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
16 * See the License for the specific language governing permissions and
17 * limitations under the License.
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +010018 */
19
Gilles Peskinedb09ef62020-06-03 01:43:33 +020020#include "common.h"
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +010021
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020022#if defined(MBEDTLS_ECP_C)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +010023
Manuel Pégourié-Gonnard7f809972015-03-09 17:05:11 +000024#include "mbedtls/ecp.h"
Hanno Becker4f8e8e52018-12-14 15:08:03 +000025#include "mbedtls/platform_util.h"
Janos Follath24eed8d2019-11-22 13:21:35 +000026#include "mbedtls/error.h"
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +010027
Janos Follath8c70e812021-06-24 14:48:38 +010028#include "bn_mul.h"
Tom Cosgrove82d3f1e2022-08-23 12:01:39 +010029#include "bignum_core.h"
Gilles Peskine618be2e2021-04-03 21:47:53 +020030#include "ecp_invasive.h"
31
Rich Evans00ab4702015-02-06 13:43:58 +000032#include <string.h>
33
Janos Follathb0697532016-08-18 12:38:46 +010034#if !defined(MBEDTLS_ECP_ALT)
35
Hanno Becker4f8e8e52018-12-14 15:08:03 +000036/* Parameter validation macros based on platform_util.h */
Gilles Peskine449bd832023-01-11 14:50:10 +010037#define ECP_VALIDATE_RET(cond) \
38 MBEDTLS_INTERNAL_VALIDATE_RET(cond, MBEDTLS_ERR_ECP_BAD_INPUT_DATA)
39#define ECP_VALIDATE(cond) \
40 MBEDTLS_INTERNAL_VALIDATE(cond)
Hanno Becker4f8e8e52018-12-14 15:08:03 +000041
Gilles Peskine449bd832023-01-11 14:50:10 +010042#define ECP_MPI_INIT(s, n, p) { s, (n), (mbedtls_mpi_uint *) (p) }
kXuanba9cb762021-04-08 14:32:06 +080043
Manuel Pégourié-Gonnard2389a602021-06-23 12:25:48 +020044#define ECP_MPI_INIT_ARRAY(x) \
45 ECP_MPI_INIT(1, sizeof(x) / sizeof(mbedtls_mpi_uint), x)
46
kXuanba9cb762021-04-08 14:32:06 +080047#define ECP_POINT_INIT_XY_Z0(x, y) { \
Gilles Peskine449bd832023-01-11 14:50:10 +010048 ECP_MPI_INIT_ARRAY(x), ECP_MPI_INIT_ARRAY(y), ECP_MPI_INIT(1, 0, NULL) }
kXuanba9cb762021-04-08 14:32:06 +080049#define ECP_POINT_INIT_XY_Z1(x, y) { \
Gilles Peskine449bd832023-01-11 14:50:10 +010050 ECP_MPI_INIT_ARRAY(x), ECP_MPI_INIT_ARRAY(y), ECP_MPI_INIT(1, 1, mpi_one) }
kXuanba9cb762021-04-08 14:32:06 +080051
52#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) || \
53 defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
54 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
55 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) || \
56 defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) || \
57 defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) || \
58 defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) || \
59 defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) || \
60 defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
61 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
62 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
63/* For these curves, we build the group parameters dynamically. */
64#define ECP_LOAD_GROUP
Gilles Peskine449bd832023-01-11 14:50:10 +010065static mbedtls_mpi_uint mpi_one[] = { 1 };
kXuanba9cb762021-04-08 14:32:06 +080066#endif
67
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +010068/*
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +010069 * Note: the constants are in little-endian order
70 * to be directly usable in MPIs
71 */
72
73/*
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +010074 * Domain parameters for secp192r1
75 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020076#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
77static const mbedtls_mpi_uint secp192r1_p[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +010078 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
79 MBEDTLS_BYTES_TO_T_UINT_8(0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
80 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +010081};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020082static const mbedtls_mpi_uint secp192r1_b[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +010083 MBEDTLS_BYTES_TO_T_UINT_8(0xB1, 0xB9, 0x46, 0xC1, 0xEC, 0xDE, 0xB8, 0xFE),
84 MBEDTLS_BYTES_TO_T_UINT_8(0x49, 0x30, 0x24, 0x72, 0xAB, 0xE9, 0xA7, 0x0F),
85 MBEDTLS_BYTES_TO_T_UINT_8(0xE7, 0x80, 0x9C, 0xE5, 0x19, 0x05, 0x21, 0x64),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +010086};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020087static const mbedtls_mpi_uint secp192r1_gx[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +010088 MBEDTLS_BYTES_TO_T_UINT_8(0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4),
89 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C),
90 MBEDTLS_BYTES_TO_T_UINT_8(0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +010091};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020092static const mbedtls_mpi_uint secp192r1_gy[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +010093 MBEDTLS_BYTES_TO_T_UINT_8(0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73),
94 MBEDTLS_BYTES_TO_T_UINT_8(0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63),
95 MBEDTLS_BYTES_TO_T_UINT_8(0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +010096};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020097static const mbedtls_mpi_uint secp192r1_n[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +010098 MBEDTLS_BYTES_TO_T_UINT_8(0x31, 0x28, 0xD2, 0xB4, 0xB1, 0xC9, 0x6B, 0x14),
99 MBEDTLS_BYTES_TO_T_UINT_8(0x36, 0xF8, 0xDE, 0x99, 0xFF, 0xFF, 0xFF, 0xFF),
100 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100101};
kXuanba9cb762021-04-08 14:32:06 +0800102#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
103static const mbedtls_mpi_uint secp192r1_T_0_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100104 MBEDTLS_BYTES_TO_T_UINT_8(0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4),
105 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C),
106 MBEDTLS_BYTES_TO_T_UINT_8(0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18),
kXuanba9cb762021-04-08 14:32:06 +0800107};
108static const mbedtls_mpi_uint secp192r1_T_0_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100109 MBEDTLS_BYTES_TO_T_UINT_8(0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73),
110 MBEDTLS_BYTES_TO_T_UINT_8(0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63),
111 MBEDTLS_BYTES_TO_T_UINT_8(0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07),
kXuanba9cb762021-04-08 14:32:06 +0800112};
113static const mbedtls_mpi_uint secp192r1_T_1_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100114 MBEDTLS_BYTES_TO_T_UINT_8(0x97, 0x9E, 0xE3, 0x60, 0x59, 0xD1, 0xC4, 0xC2),
115 MBEDTLS_BYTES_TO_T_UINT_8(0x91, 0xBD, 0x22, 0xD7, 0x2D, 0x07, 0xBD, 0xB6),
116 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0x2A, 0xCF, 0x33, 0xF0, 0xBE, 0xD1, 0xED),
kXuanba9cb762021-04-08 14:32:06 +0800117};
118static const mbedtls_mpi_uint secp192r1_T_1_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100119 MBEDTLS_BYTES_TO_T_UINT_8(0x88, 0x71, 0x4B, 0xA8, 0xED, 0x7E, 0xC9, 0x1A),
120 MBEDTLS_BYTES_TO_T_UINT_8(0x8E, 0x2A, 0xF6, 0xDF, 0x0E, 0xE8, 0x4C, 0x0F),
121 MBEDTLS_BYTES_TO_T_UINT_8(0xC5, 0x35, 0xF7, 0x8A, 0xC3, 0xEC, 0xDE, 0x1E),
kXuanba9cb762021-04-08 14:32:06 +0800122};
123static const mbedtls_mpi_uint secp192r1_T_2_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100124 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x67, 0xC2, 0x1D, 0x32, 0x8F, 0x10, 0xFB),
125 MBEDTLS_BYTES_TO_T_UINT_8(0xBB, 0x2D, 0x17, 0xF3, 0xE4, 0xFE, 0xD8, 0x13),
126 MBEDTLS_BYTES_TO_T_UINT_8(0x55, 0x45, 0x10, 0x70, 0x2C, 0x3E, 0x52, 0x3E),
kXuanba9cb762021-04-08 14:32:06 +0800127};
128static const mbedtls_mpi_uint secp192r1_T_2_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100129 MBEDTLS_BYTES_TO_T_UINT_8(0x61, 0xF1, 0x04, 0x5D, 0xEE, 0xD4, 0x56, 0xE6),
130 MBEDTLS_BYTES_TO_T_UINT_8(0x78, 0xB7, 0x38, 0x27, 0x61, 0xAA, 0x81, 0x87),
131 MBEDTLS_BYTES_TO_T_UINT_8(0x71, 0x37, 0xD7, 0x0E, 0x29, 0x0E, 0x11, 0x14),
kXuanba9cb762021-04-08 14:32:06 +0800132};
133static const mbedtls_mpi_uint secp192r1_T_3_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100134 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0x35, 0x52, 0xC6, 0x31, 0xB7, 0x27, 0xF5),
135 MBEDTLS_BYTES_TO_T_UINT_8(0x3D, 0xD4, 0x15, 0x98, 0x0F, 0xE7, 0xF3, 0x6A),
136 MBEDTLS_BYTES_TO_T_UINT_8(0xD3, 0x31, 0x70, 0x35, 0x09, 0xA0, 0x2B, 0xC2),
kXuanba9cb762021-04-08 14:32:06 +0800137};
138static const mbedtls_mpi_uint secp192r1_T_3_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100139 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0x75, 0xA7, 0x4C, 0x88, 0xCF, 0x5B, 0xE4),
140 MBEDTLS_BYTES_TO_T_UINT_8(0x17, 0x17, 0x48, 0x8D, 0xF2, 0xF0, 0x86, 0xED),
141 MBEDTLS_BYTES_TO_T_UINT_8(0x49, 0xCF, 0xFE, 0x6B, 0xB0, 0xA5, 0x06, 0xAB),
kXuanba9cb762021-04-08 14:32:06 +0800142};
143static const mbedtls_mpi_uint secp192r1_T_4_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100144 MBEDTLS_BYTES_TO_T_UINT_8(0x18, 0x6A, 0xDC, 0x9A, 0x6D, 0x7B, 0x47, 0x2E),
145 MBEDTLS_BYTES_TO_T_UINT_8(0x12, 0xFC, 0x51, 0x12, 0x62, 0x66, 0x0B, 0x59),
146 MBEDTLS_BYTES_TO_T_UINT_8(0xCD, 0x40, 0x93, 0xA0, 0xB5, 0x5A, 0x58, 0xD7),
kXuanba9cb762021-04-08 14:32:06 +0800147};
148static const mbedtls_mpi_uint secp192r1_T_4_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100149 MBEDTLS_BYTES_TO_T_UINT_8(0xEF, 0xCB, 0xAF, 0xDC, 0x0B, 0xA1, 0x26, 0xFB),
150 MBEDTLS_BYTES_TO_T_UINT_8(0xDA, 0x36, 0x9D, 0xA3, 0xD7, 0x3B, 0xAD, 0x39),
151 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0x3B, 0x05, 0x9A, 0xA8, 0xAA, 0x69, 0xB2),
kXuanba9cb762021-04-08 14:32:06 +0800152};
153static const mbedtls_mpi_uint secp192r1_T_5_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100154 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0xD9, 0xD1, 0x4D, 0x4A, 0x6E, 0x96, 0x1E),
155 MBEDTLS_BYTES_TO_T_UINT_8(0x17, 0x66, 0x32, 0x39, 0xC6, 0x57, 0x7D, 0xE6),
156 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0xA0, 0x36, 0xC2, 0x45, 0xF9, 0x00, 0x62),
kXuanba9cb762021-04-08 14:32:06 +0800157};
158static const mbedtls_mpi_uint secp192r1_T_5_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100159 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0xEF, 0x59, 0x46, 0xDC, 0x60, 0xD9, 0x8F),
160 MBEDTLS_BYTES_TO_T_UINT_8(0x24, 0xB0, 0xE9, 0x41, 0xA4, 0x87, 0x76, 0x89),
161 MBEDTLS_BYTES_TO_T_UINT_8(0x13, 0xD4, 0x0E, 0xB2, 0xFA, 0x16, 0x56, 0xDC),
kXuanba9cb762021-04-08 14:32:06 +0800162};
163static const mbedtls_mpi_uint secp192r1_T_6_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100164 MBEDTLS_BYTES_TO_T_UINT_8(0x0A, 0x62, 0xD2, 0xB1, 0x34, 0xB2, 0xF1, 0x06),
165 MBEDTLS_BYTES_TO_T_UINT_8(0xB2, 0xED, 0x55, 0xC5, 0x47, 0xB5, 0x07, 0x15),
166 MBEDTLS_BYTES_TO_T_UINT_8(0x17, 0xF6, 0x2F, 0x94, 0xC3, 0xDD, 0x54, 0x2F),
kXuanba9cb762021-04-08 14:32:06 +0800167};
168static const mbedtls_mpi_uint secp192r1_T_6_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100169 MBEDTLS_BYTES_TO_T_UINT_8(0xFD, 0xA6, 0xD4, 0x8C, 0xA9, 0xCE, 0x4D, 0x2E),
170 MBEDTLS_BYTES_TO_T_UINT_8(0xB9, 0x4B, 0x46, 0xCC, 0xB2, 0x55, 0xC8, 0xB2),
171 MBEDTLS_BYTES_TO_T_UINT_8(0x3A, 0xAE, 0x31, 0xED, 0x89, 0x65, 0x59, 0x55),
kXuanba9cb762021-04-08 14:32:06 +0800172};
173static const mbedtls_mpi_uint secp192r1_T_7_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100174 MBEDTLS_BYTES_TO_T_UINT_8(0xCC, 0x0A, 0xD1, 0x1A, 0xC5, 0xF6, 0xEA, 0x43),
175 MBEDTLS_BYTES_TO_T_UINT_8(0x0C, 0xFC, 0x0C, 0x1A, 0xFB, 0xA0, 0xC8, 0x70),
176 MBEDTLS_BYTES_TO_T_UINT_8(0xEA, 0xFD, 0x53, 0x6F, 0x6D, 0xBF, 0xBA, 0xAF),
kXuanba9cb762021-04-08 14:32:06 +0800177};
178static const mbedtls_mpi_uint secp192r1_T_7_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100179 MBEDTLS_BYTES_TO_T_UINT_8(0x2D, 0xB0, 0x7D, 0x83, 0x96, 0xE3, 0xCB, 0x9D),
180 MBEDTLS_BYTES_TO_T_UINT_8(0x6F, 0x6E, 0x55, 0x2C, 0x20, 0x53, 0x2F, 0x46),
181 MBEDTLS_BYTES_TO_T_UINT_8(0xA6, 0x66, 0x00, 0x17, 0x08, 0xFE, 0xAC, 0x31),
kXuanba9cb762021-04-08 14:32:06 +0800182};
183static const mbedtls_mpi_uint secp192r1_T_8_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100184 MBEDTLS_BYTES_TO_T_UINT_8(0x09, 0x12, 0x97, 0x3A, 0xC7, 0x57, 0x45, 0xCD),
185 MBEDTLS_BYTES_TO_T_UINT_8(0x38, 0x25, 0x99, 0x00, 0xF6, 0x97, 0xB4, 0x64),
186 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0x74, 0xE6, 0xE6, 0xA3, 0xDF, 0x9C, 0xCC),
kXuanba9cb762021-04-08 14:32:06 +0800187};
188static const mbedtls_mpi_uint secp192r1_T_8_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100189 MBEDTLS_BYTES_TO_T_UINT_8(0x32, 0xF4, 0x76, 0xD5, 0x5F, 0x2A, 0xFD, 0x85),
190 MBEDTLS_BYTES_TO_T_UINT_8(0x62, 0x80, 0x7E, 0x3E, 0xE5, 0xE8, 0xD6, 0x63),
191 MBEDTLS_BYTES_TO_T_UINT_8(0xE2, 0xAD, 0x1E, 0x70, 0x79, 0x3E, 0x3D, 0x83),
kXuanba9cb762021-04-08 14:32:06 +0800192};
193static const mbedtls_mpi_uint secp192r1_T_9_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100194 MBEDTLS_BYTES_TO_T_UINT_8(0x8E, 0x15, 0xBB, 0xB3, 0x42, 0x6A, 0xA1, 0x7C),
195 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0x58, 0xCB, 0x43, 0x25, 0x00, 0x14, 0x68),
196 MBEDTLS_BYTES_TO_T_UINT_8(0x06, 0x4E, 0x93, 0x11, 0xE0, 0x32, 0x54, 0x98),
kXuanba9cb762021-04-08 14:32:06 +0800197};
198static const mbedtls_mpi_uint secp192r1_T_9_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100199 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0x52, 0xA2, 0xB4, 0x57, 0x32, 0xB9, 0x11),
200 MBEDTLS_BYTES_TO_T_UINT_8(0x7D, 0x43, 0xA1, 0xB1, 0xFB, 0x01, 0xE1, 0xE7),
201 MBEDTLS_BYTES_TO_T_UINT_8(0xA6, 0xFB, 0x5A, 0x11, 0xB8, 0xC2, 0x03, 0xE5),
kXuanba9cb762021-04-08 14:32:06 +0800202};
203static const mbedtls_mpi_uint secp192r1_T_10_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100204 MBEDTLS_BYTES_TO_T_UINT_8(0x1C, 0x2B, 0x71, 0x26, 0x4E, 0x7C, 0xC5, 0x32),
205 MBEDTLS_BYTES_TO_T_UINT_8(0x1F, 0xF5, 0xD3, 0xA8, 0xE4, 0x95, 0x48, 0x65),
206 MBEDTLS_BYTES_TO_T_UINT_8(0x55, 0xAE, 0xD9, 0x5D, 0x9F, 0x6A, 0x22, 0xAD),
kXuanba9cb762021-04-08 14:32:06 +0800207};
208static const mbedtls_mpi_uint secp192r1_T_10_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100209 MBEDTLS_BYTES_TO_T_UINT_8(0xD9, 0xCC, 0xA3, 0x4D, 0xA0, 0x1C, 0x34, 0xEF),
210 MBEDTLS_BYTES_TO_T_UINT_8(0xA3, 0x3C, 0x62, 0xF8, 0x5E, 0xA6, 0x58, 0x7D),
211 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0x6E, 0x66, 0x8A, 0x3D, 0x17, 0xFF, 0x0F),
kXuanba9cb762021-04-08 14:32:06 +0800212};
213static const mbedtls_mpi_uint secp192r1_T_11_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100214 MBEDTLS_BYTES_TO_T_UINT_8(0xF7, 0xCD, 0xA8, 0xDD, 0xD1, 0x20, 0x5C, 0xEA),
215 MBEDTLS_BYTES_TO_T_UINT_8(0xBF, 0xFE, 0x17, 0xE2, 0xCF, 0xEA, 0x63, 0xDE),
216 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0x51, 0xC9, 0x16, 0xDE, 0xB4, 0xB2, 0xDD),
kXuanba9cb762021-04-08 14:32:06 +0800217};
218static const mbedtls_mpi_uint secp192r1_T_11_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100219 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0xBE, 0x12, 0xD7, 0xA3, 0x0A, 0x50, 0x33),
220 MBEDTLS_BYTES_TO_T_UINT_8(0x53, 0x87, 0xC5, 0x8A, 0x76, 0x57, 0x07, 0x60),
221 MBEDTLS_BYTES_TO_T_UINT_8(0xE5, 0x1F, 0xC6, 0x1B, 0x66, 0xC4, 0x3D, 0x8A),
kXuanba9cb762021-04-08 14:32:06 +0800222};
223static const mbedtls_mpi_uint secp192r1_T_12_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100224 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0xA4, 0x85, 0x13, 0x8F, 0xA7, 0x35, 0x19),
225 MBEDTLS_BYTES_TO_T_UINT_8(0x58, 0x0D, 0xFD, 0xFF, 0x1B, 0xD1, 0xD6, 0xEF),
226 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0x7A, 0xD0, 0xC3, 0xB4, 0xEF, 0x39, 0x66),
kXuanba9cb762021-04-08 14:32:06 +0800227};
228static const mbedtls_mpi_uint secp192r1_T_12_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100229 MBEDTLS_BYTES_TO_T_UINT_8(0x3A, 0xFE, 0xA5, 0x9C, 0x34, 0x30, 0x49, 0x40),
230 MBEDTLS_BYTES_TO_T_UINT_8(0xDE, 0xC5, 0x39, 0x26, 0x06, 0xE3, 0x01, 0x17),
231 MBEDTLS_BYTES_TO_T_UINT_8(0xE2, 0x2B, 0x66, 0xFC, 0x95, 0x5F, 0x35, 0xF7),
kXuanba9cb762021-04-08 14:32:06 +0800232};
233static const mbedtls_mpi_uint secp192r1_T_13_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100234 MBEDTLS_BYTES_TO_T_UINT_8(0x58, 0xCF, 0x54, 0x63, 0x99, 0x57, 0x05, 0x45),
235 MBEDTLS_BYTES_TO_T_UINT_8(0x71, 0x6F, 0x00, 0x5F, 0x65, 0x08, 0x47, 0x98),
236 MBEDTLS_BYTES_TO_T_UINT_8(0x62, 0x2A, 0x90, 0x6D, 0x67, 0xC6, 0xBC, 0x45),
kXuanba9cb762021-04-08 14:32:06 +0800237};
238static const mbedtls_mpi_uint secp192r1_T_13_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100239 MBEDTLS_BYTES_TO_T_UINT_8(0x8A, 0x4D, 0x88, 0x0A, 0x35, 0x9E, 0x33, 0x9C),
240 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0x17, 0x0C, 0xF8, 0xE1, 0x7A, 0x49, 0x02),
241 MBEDTLS_BYTES_TO_T_UINT_8(0xA4, 0x44, 0x06, 0x8F, 0x0B, 0x70, 0x2F, 0x71),
kXuanba9cb762021-04-08 14:32:06 +0800242};
243static const mbedtls_mpi_uint secp192r1_T_14_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100244 MBEDTLS_BYTES_TO_T_UINT_8(0x85, 0x4B, 0xCB, 0xF9, 0x8E, 0x6A, 0xDA, 0x1B),
245 MBEDTLS_BYTES_TO_T_UINT_8(0x29, 0x43, 0xA1, 0x3F, 0xCE, 0x17, 0xD2, 0x32),
246 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0x0D, 0xD2, 0x6C, 0x82, 0x37, 0xE5, 0xFC),
kXuanba9cb762021-04-08 14:32:06 +0800247};
248static const mbedtls_mpi_uint secp192r1_T_14_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100249 MBEDTLS_BYTES_TO_T_UINT_8(0x4A, 0x3C, 0xF4, 0x92, 0xB4, 0x8A, 0x95, 0x85),
250 MBEDTLS_BYTES_TO_T_UINT_8(0x85, 0x96, 0xF1, 0x0A, 0x34, 0x2F, 0x74, 0x7E),
251 MBEDTLS_BYTES_TO_T_UINT_8(0x7B, 0xA1, 0xAA, 0xBA, 0x86, 0x77, 0x4F, 0xA2),
kXuanba9cb762021-04-08 14:32:06 +0800252};
253static const mbedtls_mpi_uint secp192r1_T_15_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100254 MBEDTLS_BYTES_TO_T_UINT_8(0xE5, 0x7F, 0xEF, 0x60, 0x50, 0x80, 0xD7, 0xD4),
255 MBEDTLS_BYTES_TO_T_UINT_8(0x31, 0xAC, 0xC9, 0xFE, 0xEC, 0x0A, 0x1A, 0x9F),
256 MBEDTLS_BYTES_TO_T_UINT_8(0x6B, 0x2F, 0xBE, 0x91, 0xD7, 0xB7, 0x38, 0x48),
kXuanba9cb762021-04-08 14:32:06 +0800257};
258static const mbedtls_mpi_uint secp192r1_T_15_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100259 MBEDTLS_BYTES_TO_T_UINT_8(0xB1, 0xAE, 0x85, 0x98, 0xFE, 0x05, 0x7F, 0x9F),
260 MBEDTLS_BYTES_TO_T_UINT_8(0x91, 0xBE, 0xFD, 0x11, 0x31, 0x3D, 0x14, 0x13),
261 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0x75, 0xE8, 0x30, 0x01, 0xCB, 0x9B, 0x1C),
kXuanba9cb762021-04-08 14:32:06 +0800262};
263static const mbedtls_ecp_point secp192r1_T[16] = {
264 ECP_POINT_INIT_XY_Z1(secp192r1_T_0_X, secp192r1_T_0_Y),
265 ECP_POINT_INIT_XY_Z0(secp192r1_T_1_X, secp192r1_T_1_Y),
266 ECP_POINT_INIT_XY_Z0(secp192r1_T_2_X, secp192r1_T_2_Y),
267 ECP_POINT_INIT_XY_Z0(secp192r1_T_3_X, secp192r1_T_3_Y),
268 ECP_POINT_INIT_XY_Z0(secp192r1_T_4_X, secp192r1_T_4_Y),
269 ECP_POINT_INIT_XY_Z0(secp192r1_T_5_X, secp192r1_T_5_Y),
270 ECP_POINT_INIT_XY_Z0(secp192r1_T_6_X, secp192r1_T_6_Y),
271 ECP_POINT_INIT_XY_Z0(secp192r1_T_7_X, secp192r1_T_7_Y),
272 ECP_POINT_INIT_XY_Z0(secp192r1_T_8_X, secp192r1_T_8_Y),
273 ECP_POINT_INIT_XY_Z0(secp192r1_T_9_X, secp192r1_T_9_Y),
274 ECP_POINT_INIT_XY_Z0(secp192r1_T_10_X, secp192r1_T_10_Y),
275 ECP_POINT_INIT_XY_Z0(secp192r1_T_11_X, secp192r1_T_11_Y),
276 ECP_POINT_INIT_XY_Z0(secp192r1_T_12_X, secp192r1_T_12_Y),
277 ECP_POINT_INIT_XY_Z0(secp192r1_T_13_X, secp192r1_T_13_Y),
278 ECP_POINT_INIT_XY_Z0(secp192r1_T_14_X, secp192r1_T_14_Y),
279 ECP_POINT_INIT_XY_Z0(secp192r1_T_15_X, secp192r1_T_15_Y),
280};
281#else
282#define secp192r1_T NULL
283#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200284#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +0100285
286/*
287 * Domain parameters for secp224r1
288 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200289#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
290static const mbedtls_mpi_uint secp224r1_p[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100291 MBEDTLS_BYTES_TO_T_UINT_8(0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
292 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF),
293 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
294 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100295};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200296static const mbedtls_mpi_uint secp224r1_b[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100297 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0xFF, 0x55, 0x23, 0x43, 0x39, 0x0B, 0x27),
298 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0xD8, 0xBF, 0xD7, 0xB7, 0xB0, 0x44, 0x50),
299 MBEDTLS_BYTES_TO_T_UINT_8(0x56, 0x32, 0x41, 0xF5, 0xAB, 0xB3, 0x04, 0x0C),
300 MBEDTLS_BYTES_TO_T_UINT_4(0x85, 0x0A, 0x05, 0xB4),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100301};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200302static const mbedtls_mpi_uint secp224r1_gx[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100303 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34),
304 MBEDTLS_BYTES_TO_T_UINT_8(0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A),
305 MBEDTLS_BYTES_TO_T_UINT_8(0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B),
306 MBEDTLS_BYTES_TO_T_UINT_4(0xBD, 0x0C, 0x0E, 0xB7),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100307};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200308static const mbedtls_mpi_uint secp224r1_gy[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100309 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44),
310 MBEDTLS_BYTES_TO_T_UINT_8(0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD),
311 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5),
312 MBEDTLS_BYTES_TO_T_UINT_4(0x88, 0x63, 0x37, 0xBD),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100313};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200314static const mbedtls_mpi_uint secp224r1_n[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100315 MBEDTLS_BYTES_TO_T_UINT_8(0x3D, 0x2A, 0x5C, 0x5C, 0x45, 0x29, 0xDD, 0x13),
316 MBEDTLS_BYTES_TO_T_UINT_8(0x3E, 0xF0, 0xB8, 0xE0, 0xA2, 0x16, 0xFF, 0xFF),
317 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
318 MBEDTLS_BYTES_TO_T_UINT_4(0xFF, 0xFF, 0xFF, 0xFF),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100319};
kXuanba9cb762021-04-08 14:32:06 +0800320#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
321static const mbedtls_mpi_uint secp224r1_T_0_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100322 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34),
323 MBEDTLS_BYTES_TO_T_UINT_8(0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A),
324 MBEDTLS_BYTES_TO_T_UINT_8(0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B),
325 MBEDTLS_BYTES_TO_T_UINT_8(0xBD, 0x0C, 0x0E, 0xB7, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800326};
327static const mbedtls_mpi_uint secp224r1_T_0_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100328 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44),
329 MBEDTLS_BYTES_TO_T_UINT_8(0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD),
330 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5),
331 MBEDTLS_BYTES_TO_T_UINT_8(0x88, 0x63, 0x37, 0xBD, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800332};
333static const mbedtls_mpi_uint secp224r1_T_1_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100334 MBEDTLS_BYTES_TO_T_UINT_8(0xE0, 0xF9, 0xB8, 0xD0, 0x3D, 0xD2, 0xD3, 0xFA),
335 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0xFD, 0x99, 0x26, 0x19, 0xFE, 0x13, 0x6E),
336 MBEDTLS_BYTES_TO_T_UINT_8(0x1C, 0x0E, 0x4C, 0x48, 0x7C, 0xA2, 0x17, 0x01),
337 MBEDTLS_BYTES_TO_T_UINT_8(0x3D, 0xA3, 0x13, 0x57, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800338};
339static const mbedtls_mpi_uint secp224r1_T_1_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100340 MBEDTLS_BYTES_TO_T_UINT_8(0x9F, 0x16, 0x5C, 0x8F, 0xAA, 0xED, 0x0F, 0x58),
341 MBEDTLS_BYTES_TO_T_UINT_8(0xBF, 0xC5, 0x43, 0x34, 0x93, 0x05, 0x2A, 0x4C),
342 MBEDTLS_BYTES_TO_T_UINT_8(0xE4, 0xE3, 0x6C, 0xCA, 0xC6, 0x14, 0xC2, 0x25),
343 MBEDTLS_BYTES_TO_T_UINT_8(0xD3, 0x43, 0x6C, 0xD7, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800344};
345static const mbedtls_mpi_uint secp224r1_T_2_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100346 MBEDTLS_BYTES_TO_T_UINT_8(0xC3, 0x5A, 0x98, 0x1E, 0xC8, 0xA5, 0x42, 0xA3),
347 MBEDTLS_BYTES_TO_T_UINT_8(0x98, 0x49, 0x56, 0x78, 0xF8, 0xEF, 0xED, 0x65),
348 MBEDTLS_BYTES_TO_T_UINT_8(0x1B, 0xBB, 0x64, 0xB6, 0x4C, 0x54, 0x5F, 0xD1),
349 MBEDTLS_BYTES_TO_T_UINT_8(0x2F, 0x0C, 0x33, 0xCC, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800350};
351static const mbedtls_mpi_uint secp224r1_T_2_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100352 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0x79, 0xCB, 0x2E, 0x08, 0xFF, 0xD8, 0xE6),
353 MBEDTLS_BYTES_TO_T_UINT_8(0x2E, 0x1F, 0xD4, 0xD7, 0x57, 0xE9, 0x39, 0x45),
354 MBEDTLS_BYTES_TO_T_UINT_8(0xD8, 0xD6, 0x3B, 0x0A, 0x1C, 0x87, 0xB7, 0x6A),
355 MBEDTLS_BYTES_TO_T_UINT_8(0xEB, 0x30, 0xD8, 0x05, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800356};
357static const mbedtls_mpi_uint secp224r1_T_3_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100358 MBEDTLS_BYTES_TO_T_UINT_8(0xAD, 0x79, 0x74, 0x9A, 0xE6, 0xBB, 0xC2, 0xC2),
359 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0x5B, 0xA6, 0x67, 0xC1, 0x91, 0xE7, 0x64),
360 MBEDTLS_BYTES_TO_T_UINT_8(0xF0, 0xDF, 0x38, 0x82, 0x19, 0x2C, 0x4C, 0xCA),
361 MBEDTLS_BYTES_TO_T_UINT_8(0xD1, 0x2E, 0x39, 0xC5, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800362};
363static const mbedtls_mpi_uint secp224r1_T_3_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100364 MBEDTLS_BYTES_TO_T_UINT_8(0x99, 0x36, 0x78, 0x4E, 0xAE, 0x5B, 0x02, 0x76),
365 MBEDTLS_BYTES_TO_T_UINT_8(0x14, 0xF6, 0x8B, 0xF8, 0xF4, 0x92, 0x6B, 0x42),
366 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0x4D, 0x71, 0x35, 0xE7, 0x0C, 0x2C, 0x98),
367 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0xA5, 0x1F, 0xAE, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800368};
369static const mbedtls_mpi_uint secp224r1_T_4_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100370 MBEDTLS_BYTES_TO_T_UINT_8(0xAF, 0x1C, 0x4B, 0xDF, 0x5B, 0xF2, 0x51, 0xB7),
371 MBEDTLS_BYTES_TO_T_UINT_8(0x05, 0x74, 0xB1, 0x5A, 0xC6, 0x0F, 0x0E, 0x61),
372 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0x24, 0x09, 0x62, 0xAF, 0xFC, 0xDB, 0x45),
373 MBEDTLS_BYTES_TO_T_UINT_8(0x43, 0xE1, 0x80, 0x55, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800374};
375static const mbedtls_mpi_uint secp224r1_T_4_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100376 MBEDTLS_BYTES_TO_T_UINT_8(0x3C, 0x82, 0xFE, 0xAD, 0xC3, 0xE5, 0xCF, 0xD8),
377 MBEDTLS_BYTES_TO_T_UINT_8(0x24, 0xA2, 0x62, 0x17, 0x76, 0xF0, 0x5A, 0xFA),
378 MBEDTLS_BYTES_TO_T_UINT_8(0x3E, 0xB8, 0xE5, 0xAC, 0xB7, 0x66, 0x38, 0xAA),
379 MBEDTLS_BYTES_TO_T_UINT_8(0x97, 0xFD, 0x86, 0x05, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800380};
381static const mbedtls_mpi_uint secp224r1_T_5_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100382 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0xD3, 0x0C, 0x3C, 0xD1, 0x66, 0xB0, 0xF1),
383 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0x59, 0xB4, 0x8D, 0x90, 0x10, 0xB7, 0xA2),
384 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0x47, 0x9B, 0xE6, 0x55, 0x8A, 0xE4, 0xEE),
385 MBEDTLS_BYTES_TO_T_UINT_8(0xB1, 0x49, 0xDB, 0x78, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800386};
387static const mbedtls_mpi_uint secp224r1_T_5_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100388 MBEDTLS_BYTES_TO_T_UINT_8(0x41, 0x97, 0xED, 0xDE, 0xFF, 0xB3, 0xDF, 0x48),
389 MBEDTLS_BYTES_TO_T_UINT_8(0x10, 0xB9, 0x83, 0xB7, 0xEB, 0xBE, 0x40, 0x8D),
390 MBEDTLS_BYTES_TO_T_UINT_8(0xAF, 0xD3, 0xD3, 0xCD, 0x0E, 0x82, 0x79, 0x3D),
391 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0x83, 0x1B, 0xF0, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800392};
393static const mbedtls_mpi_uint secp224r1_T_6_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100394 MBEDTLS_BYTES_TO_T_UINT_8(0x3F, 0x22, 0xBB, 0x54, 0xD3, 0x31, 0x56, 0xFC),
395 MBEDTLS_BYTES_TO_T_UINT_8(0x80, 0x36, 0xE5, 0xE0, 0x89, 0x96, 0x8E, 0x71),
396 MBEDTLS_BYTES_TO_T_UINT_8(0xE1, 0xEF, 0x0A, 0xED, 0xD0, 0x11, 0x4A, 0xFF),
397 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0x00, 0x57, 0x27, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800398};
399static const mbedtls_mpi_uint secp224r1_T_6_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100400 MBEDTLS_BYTES_TO_T_UINT_8(0x13, 0xCA, 0x3D, 0xF7, 0x64, 0x9B, 0x6E, 0x85),
401 MBEDTLS_BYTES_TO_T_UINT_8(0x90, 0xE3, 0x70, 0x6B, 0x41, 0xD7, 0xED, 0x8F),
402 MBEDTLS_BYTES_TO_T_UINT_8(0x02, 0x44, 0x44, 0x80, 0xCE, 0x13, 0x37, 0x92),
403 MBEDTLS_BYTES_TO_T_UINT_8(0x94, 0x73, 0x80, 0x79, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800404};
405static const mbedtls_mpi_uint secp224r1_T_7_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100406 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0x4D, 0x70, 0x7D, 0x31, 0x0F, 0x1C, 0x58),
407 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0x35, 0x88, 0x47, 0xC4, 0x24, 0x78, 0x3F),
408 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0xF0, 0xCD, 0x91, 0x81, 0xB3, 0xDE, 0xB6),
409 MBEDTLS_BYTES_TO_T_UINT_8(0x04, 0xCE, 0xC6, 0xF7, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800410};
411static const mbedtls_mpi_uint secp224r1_T_7_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100412 MBEDTLS_BYTES_TO_T_UINT_8(0xE9, 0x9C, 0x2D, 0xE8, 0xD2, 0x00, 0x8F, 0x10),
413 MBEDTLS_BYTES_TO_T_UINT_8(0xD5, 0x5E, 0x7C, 0x0E, 0x0C, 0x6E, 0x58, 0x02),
414 MBEDTLS_BYTES_TO_T_UINT_8(0xAE, 0x81, 0x21, 0xCE, 0x43, 0xF4, 0x24, 0x3D),
415 MBEDTLS_BYTES_TO_T_UINT_8(0x9E, 0xBC, 0xF0, 0xF4, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800416};
417static const mbedtls_mpi_uint secp224r1_T_8_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100418 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0x10, 0xC2, 0x74, 0x4A, 0x8F, 0x8A, 0xCF),
419 MBEDTLS_BYTES_TO_T_UINT_8(0x89, 0x67, 0xF4, 0x2B, 0x38, 0x2B, 0x35, 0x17),
420 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0xE7, 0x0C, 0xA9, 0xFA, 0x77, 0x5C, 0xBD),
421 MBEDTLS_BYTES_TO_T_UINT_8(0xE0, 0x33, 0x19, 0x2B, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800422};
423static const mbedtls_mpi_uint secp224r1_T_8_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100424 MBEDTLS_BYTES_TO_T_UINT_8(0xE7, 0x3E, 0x96, 0x22, 0x53, 0xE1, 0xE9, 0xBE),
425 MBEDTLS_BYTES_TO_T_UINT_8(0xE0, 0x13, 0xBC, 0xA1, 0x16, 0xEC, 0x01, 0x1A),
426 MBEDTLS_BYTES_TO_T_UINT_8(0x9A, 0x00, 0xC9, 0x7A, 0xC3, 0x73, 0xA5, 0x45),
427 MBEDTLS_BYTES_TO_T_UINT_8(0xE1, 0xF4, 0x5E, 0xC1, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800428};
429static const mbedtls_mpi_uint secp224r1_T_9_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100430 MBEDTLS_BYTES_TO_T_UINT_8(0xA8, 0x95, 0xD6, 0xD9, 0x32, 0x30, 0x2B, 0xD0),
431 MBEDTLS_BYTES_TO_T_UINT_8(0x77, 0x42, 0x09, 0x05, 0x61, 0x2A, 0x7E, 0x82),
432 MBEDTLS_BYTES_TO_T_UINT_8(0x73, 0x84, 0xA2, 0x05, 0x88, 0x64, 0x65, 0xF9),
433 MBEDTLS_BYTES_TO_T_UINT_8(0x03, 0x2D, 0x90, 0xB3, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800434};
435static const mbedtls_mpi_uint secp224r1_T_9_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100436 MBEDTLS_BYTES_TO_T_UINT_8(0x0A, 0xE7, 0x2E, 0x85, 0x55, 0x80, 0x7C, 0x79),
437 MBEDTLS_BYTES_TO_T_UINT_8(0x0F, 0xC1, 0xAC, 0x78, 0xB4, 0xAF, 0xFB, 0x6E),
438 MBEDTLS_BYTES_TO_T_UINT_8(0xD3, 0xC3, 0x28, 0x8E, 0x79, 0x18, 0x1F, 0x58),
439 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0x46, 0xCF, 0x49, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800440};
441static const mbedtls_mpi_uint secp224r1_T_10_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100442 MBEDTLS_BYTES_TO_T_UINT_8(0x63, 0x5F, 0xA8, 0x6C, 0x46, 0x83, 0x43, 0xFA),
443 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0xA9, 0x93, 0x11, 0xB6, 0x07, 0x57, 0x74),
444 MBEDTLS_BYTES_TO_T_UINT_8(0x77, 0x2A, 0x9D, 0x03, 0x89, 0x7E, 0xD7, 0x3C),
445 MBEDTLS_BYTES_TO_T_UINT_8(0x7B, 0x8C, 0x62, 0xCF, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800446};
447static const mbedtls_mpi_uint secp224r1_T_10_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100448 MBEDTLS_BYTES_TO_T_UINT_8(0x44, 0x2C, 0x13, 0x59, 0xCC, 0xFA, 0x84, 0x9E),
449 MBEDTLS_BYTES_TO_T_UINT_8(0x51, 0xB9, 0x48, 0xBC, 0x57, 0xC7, 0xB3, 0x7C),
450 MBEDTLS_BYTES_TO_T_UINT_8(0xFC, 0x0A, 0x38, 0x24, 0x2E, 0x3A, 0x28, 0x25),
451 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0x0A, 0x43, 0xB8, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800452};
453static const mbedtls_mpi_uint secp224r1_T_11_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100454 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0x25, 0xAB, 0xC1, 0xEE, 0x70, 0x3C, 0xE1),
455 MBEDTLS_BYTES_TO_T_UINT_8(0xF3, 0xDB, 0x45, 0x1D, 0x4A, 0x80, 0x75, 0x35),
456 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0x1F, 0x4D, 0x2D, 0x9A, 0x05, 0xF4, 0xCB),
457 MBEDTLS_BYTES_TO_T_UINT_8(0x6B, 0x10, 0xF0, 0x5A, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800458};
459static const mbedtls_mpi_uint secp224r1_T_11_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100460 MBEDTLS_BYTES_TO_T_UINT_8(0x35, 0x95, 0xE1, 0xDC, 0x15, 0x86, 0xC3, 0x7B),
461 MBEDTLS_BYTES_TO_T_UINT_8(0xEC, 0xDC, 0x27, 0xD1, 0x56, 0xA1, 0x14, 0x0D),
462 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0x0B, 0xD6, 0x77, 0x4E, 0x44, 0xA2, 0xF8),
463 MBEDTLS_BYTES_TO_T_UINT_8(0x94, 0x42, 0x71, 0x1F, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800464};
465static const mbedtls_mpi_uint secp224r1_T_12_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100466 MBEDTLS_BYTES_TO_T_UINT_8(0x30, 0x86, 0xB2, 0xB0, 0xC8, 0x2F, 0x7B, 0xFE),
467 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0xEF, 0xCB, 0xDB, 0xBC, 0x9E, 0x3B, 0xC5),
468 MBEDTLS_BYTES_TO_T_UINT_8(0x1B, 0x03, 0x86, 0xDD, 0x5B, 0xF5, 0x8D, 0x46),
469 MBEDTLS_BYTES_TO_T_UINT_8(0x58, 0x95, 0x79, 0xD6, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800470};
471static const mbedtls_mpi_uint secp224r1_T_12_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100472 MBEDTLS_BYTES_TO_T_UINT_8(0x84, 0x32, 0x14, 0xDA, 0x9B, 0x4F, 0x07, 0x39),
473 MBEDTLS_BYTES_TO_T_UINT_8(0xB5, 0x3E, 0xFB, 0x06, 0xEE, 0xA7, 0x40, 0x40),
474 MBEDTLS_BYTES_TO_T_UINT_8(0x76, 0x1F, 0xDF, 0x71, 0x61, 0xFD, 0x8B, 0xBE),
475 MBEDTLS_BYTES_TO_T_UINT_8(0x80, 0x8B, 0xAB, 0x8B, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800476};
477static const mbedtls_mpi_uint secp224r1_T_13_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100478 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0x34, 0xB3, 0xB4, 0xBC, 0x9F, 0xB0, 0x5E),
479 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0x58, 0x48, 0xA8, 0x77, 0xBB, 0x13, 0x2F),
480 MBEDTLS_BYTES_TO_T_UINT_8(0x41, 0xC6, 0xF7, 0x34, 0xCC, 0x89, 0x21, 0x0A),
481 MBEDTLS_BYTES_TO_T_UINT_8(0xCA, 0x33, 0xDD, 0x1F, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800482};
483static const mbedtls_mpi_uint secp224r1_T_13_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100484 MBEDTLS_BYTES_TO_T_UINT_8(0xCC, 0x81, 0xEF, 0xA4, 0xF2, 0x10, 0x0B, 0xCD),
485 MBEDTLS_BYTES_TO_T_UINT_8(0x83, 0xF7, 0x6E, 0x72, 0x4A, 0xDF, 0xDD, 0xE8),
486 MBEDTLS_BYTES_TO_T_UINT_8(0x67, 0x23, 0x0A, 0x53, 0x03, 0x16, 0x62, 0xD2),
487 MBEDTLS_BYTES_TO_T_UINT_8(0x0B, 0x76, 0xFD, 0x3C, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800488};
489static const mbedtls_mpi_uint secp224r1_T_14_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100490 MBEDTLS_BYTES_TO_T_UINT_8(0xCB, 0x14, 0xA1, 0xFA, 0xA0, 0x18, 0xBE, 0x07),
491 MBEDTLS_BYTES_TO_T_UINT_8(0x03, 0x2A, 0xE1, 0xD7, 0xB0, 0x6C, 0xA0, 0xDE),
492 MBEDTLS_BYTES_TO_T_UINT_8(0xD1, 0xC0, 0xB0, 0xC6, 0x63, 0x24, 0xCD, 0x4E),
493 MBEDTLS_BYTES_TO_T_UINT_8(0x33, 0x38, 0x2C, 0xB1, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800494};
495static const mbedtls_mpi_uint secp224r1_T_14_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100496 MBEDTLS_BYTES_TO_T_UINT_8(0xEE, 0xCD, 0x7D, 0x20, 0x0C, 0xFE, 0xAC, 0xC3),
497 MBEDTLS_BYTES_TO_T_UINT_8(0x09, 0x97, 0x9F, 0xA2, 0xB6, 0x45, 0xF7, 0x7B),
498 MBEDTLS_BYTES_TO_T_UINT_8(0xCA, 0x99, 0xF3, 0xD2, 0x20, 0x02, 0xEB, 0x04),
499 MBEDTLS_BYTES_TO_T_UINT_8(0x43, 0x18, 0x5B, 0x7B, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800500};
501static const mbedtls_mpi_uint secp224r1_T_15_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100502 MBEDTLS_BYTES_TO_T_UINT_8(0x2B, 0xDD, 0x77, 0x91, 0x60, 0xEA, 0xFD, 0xD3),
503 MBEDTLS_BYTES_TO_T_UINT_8(0x7D, 0xD3, 0xB5, 0xD6, 0x90, 0x17, 0x0E, 0x1A),
504 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0xF4, 0x28, 0xC1, 0xF2, 0x53, 0xF6, 0x63),
505 MBEDTLS_BYTES_TO_T_UINT_8(0x49, 0x58, 0xDC, 0x61, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800506};
507static const mbedtls_mpi_uint secp224r1_T_15_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100508 MBEDTLS_BYTES_TO_T_UINT_8(0xA8, 0x20, 0x01, 0xFB, 0xF1, 0xBD, 0x5F, 0x45),
509 MBEDTLS_BYTES_TO_T_UINT_8(0xD0, 0x7F, 0x06, 0xDA, 0x11, 0xCB, 0xBA, 0xA6),
510 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0x41, 0x00, 0xA4, 0x1B, 0x30, 0x33, 0x79),
511 MBEDTLS_BYTES_TO_T_UINT_8(0xF4, 0xFF, 0x27, 0xCA, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800512};
513static const mbedtls_ecp_point secp224r1_T[16] = {
514 ECP_POINT_INIT_XY_Z1(secp224r1_T_0_X, secp224r1_T_0_Y),
515 ECP_POINT_INIT_XY_Z0(secp224r1_T_1_X, secp224r1_T_1_Y),
516 ECP_POINT_INIT_XY_Z0(secp224r1_T_2_X, secp224r1_T_2_Y),
517 ECP_POINT_INIT_XY_Z0(secp224r1_T_3_X, secp224r1_T_3_Y),
518 ECP_POINT_INIT_XY_Z0(secp224r1_T_4_X, secp224r1_T_4_Y),
519 ECP_POINT_INIT_XY_Z0(secp224r1_T_5_X, secp224r1_T_5_Y),
520 ECP_POINT_INIT_XY_Z0(secp224r1_T_6_X, secp224r1_T_6_Y),
521 ECP_POINT_INIT_XY_Z0(secp224r1_T_7_X, secp224r1_T_7_Y),
522 ECP_POINT_INIT_XY_Z0(secp224r1_T_8_X, secp224r1_T_8_Y),
523 ECP_POINT_INIT_XY_Z0(secp224r1_T_9_X, secp224r1_T_9_Y),
524 ECP_POINT_INIT_XY_Z0(secp224r1_T_10_X, secp224r1_T_10_Y),
525 ECP_POINT_INIT_XY_Z0(secp224r1_T_11_X, secp224r1_T_11_Y),
526 ECP_POINT_INIT_XY_Z0(secp224r1_T_12_X, secp224r1_T_12_Y),
527 ECP_POINT_INIT_XY_Z0(secp224r1_T_13_X, secp224r1_T_13_Y),
528 ECP_POINT_INIT_XY_Z0(secp224r1_T_14_X, secp224r1_T_14_Y),
529 ECP_POINT_INIT_XY_Z0(secp224r1_T_15_X, secp224r1_T_15_Y),
530};
531#else
532#define secp224r1_T NULL
533#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200534#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +0100535
536/*
537 * Domain parameters for secp256r1
538 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200539#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
540static const mbedtls_mpi_uint secp256r1_p[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100541 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
542 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00),
543 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
544 MBEDTLS_BYTES_TO_T_UINT_8(0x01, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100545};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200546static const mbedtls_mpi_uint secp256r1_b[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100547 MBEDTLS_BYTES_TO_T_UINT_8(0x4B, 0x60, 0xD2, 0x27, 0x3E, 0x3C, 0xCE, 0x3B),
548 MBEDTLS_BYTES_TO_T_UINT_8(0xF6, 0xB0, 0x53, 0xCC, 0xB0, 0x06, 0x1D, 0x65),
549 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0x86, 0x98, 0x76, 0x55, 0xBD, 0xEB, 0xB3),
550 MBEDTLS_BYTES_TO_T_UINT_8(0xE7, 0x93, 0x3A, 0xAA, 0xD8, 0x35, 0xC6, 0x5A),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100551};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200552static const mbedtls_mpi_uint secp256r1_gx[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100553 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4),
554 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77),
555 MBEDTLS_BYTES_TO_T_UINT_8(0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8),
556 MBEDTLS_BYTES_TO_T_UINT_8(0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100557};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200558static const mbedtls_mpi_uint secp256r1_gy[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100559 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB),
560 MBEDTLS_BYTES_TO_T_UINT_8(0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B),
561 MBEDTLS_BYTES_TO_T_UINT_8(0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E),
562 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100563};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200564static const mbedtls_mpi_uint secp256r1_n[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100565 MBEDTLS_BYTES_TO_T_UINT_8(0x51, 0x25, 0x63, 0xFC, 0xC2, 0xCA, 0xB9, 0xF3),
566 MBEDTLS_BYTES_TO_T_UINT_8(0x84, 0x9E, 0x17, 0xA7, 0xAD, 0xFA, 0xE6, 0xBC),
567 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
568 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100569};
kXuanba9cb762021-04-08 14:32:06 +0800570#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
571static const mbedtls_mpi_uint secp256r1_T_0_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100572 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4),
573 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77),
574 MBEDTLS_BYTES_TO_T_UINT_8(0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8),
575 MBEDTLS_BYTES_TO_T_UINT_8(0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B),
kXuanba9cb762021-04-08 14:32:06 +0800576};
577static const mbedtls_mpi_uint secp256r1_T_0_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100578 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB),
579 MBEDTLS_BYTES_TO_T_UINT_8(0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B),
580 MBEDTLS_BYTES_TO_T_UINT_8(0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E),
581 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F),
kXuanba9cb762021-04-08 14:32:06 +0800582};
583static const mbedtls_mpi_uint secp256r1_T_1_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100584 MBEDTLS_BYTES_TO_T_UINT_8(0x70, 0xC8, 0xBA, 0x04, 0xB7, 0x4B, 0xD2, 0xF7),
585 MBEDTLS_BYTES_TO_T_UINT_8(0xAB, 0xC6, 0x23, 0x3A, 0xA0, 0x09, 0x3A, 0x59),
586 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0x9D, 0x4C, 0xF9, 0x58, 0x23, 0xCC, 0xDF),
587 MBEDTLS_BYTES_TO_T_UINT_8(0x02, 0xED, 0x7B, 0x29, 0x87, 0x0F, 0xFA, 0x3C),
kXuanba9cb762021-04-08 14:32:06 +0800588};
589static const mbedtls_mpi_uint secp256r1_T_1_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100590 MBEDTLS_BYTES_TO_T_UINT_8(0x40, 0x69, 0xF2, 0x40, 0x0B, 0xA3, 0x98, 0xCE),
591 MBEDTLS_BYTES_TO_T_UINT_8(0xAF, 0xA8, 0x48, 0x02, 0x0D, 0x1C, 0x12, 0x62),
592 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0xAF, 0x09, 0x83, 0x80, 0xAA, 0x58, 0xA7),
593 MBEDTLS_BYTES_TO_T_UINT_8(0xC6, 0x12, 0xBE, 0x70, 0x94, 0x76, 0xE3, 0xE4),
kXuanba9cb762021-04-08 14:32:06 +0800594};
595static const mbedtls_mpi_uint secp256r1_T_2_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100596 MBEDTLS_BYTES_TO_T_UINT_8(0x7D, 0x7D, 0xEF, 0x86, 0xFF, 0xE3, 0x37, 0xDD),
597 MBEDTLS_BYTES_TO_T_UINT_8(0xDB, 0x86, 0x8B, 0x08, 0x27, 0x7C, 0xD7, 0xF6),
598 MBEDTLS_BYTES_TO_T_UINT_8(0x91, 0x54, 0x4C, 0x25, 0x4F, 0x9A, 0xFE, 0x28),
599 MBEDTLS_BYTES_TO_T_UINT_8(0x5E, 0xFD, 0xF0, 0x6D, 0x37, 0x03, 0x69, 0xD6),
kXuanba9cb762021-04-08 14:32:06 +0800600};
601static const mbedtls_mpi_uint secp256r1_T_2_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100602 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0xD5, 0xDA, 0xAD, 0x92, 0x49, 0xF0, 0x9F),
603 MBEDTLS_BYTES_TO_T_UINT_8(0xF9, 0x73, 0x43, 0x9E, 0xAF, 0xA7, 0xD1, 0xF3),
604 MBEDTLS_BYTES_TO_T_UINT_8(0x67, 0x41, 0x07, 0xDF, 0x78, 0x95, 0x3E, 0xA1),
605 MBEDTLS_BYTES_TO_T_UINT_8(0x22, 0x3D, 0xD1, 0xE6, 0x3C, 0xA5, 0xE2, 0x20),
kXuanba9cb762021-04-08 14:32:06 +0800606};
607static const mbedtls_mpi_uint secp256r1_T_3_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100608 MBEDTLS_BYTES_TO_T_UINT_8(0xBF, 0x6A, 0x5D, 0x52, 0x35, 0xD7, 0xBF, 0xAE),
609 MBEDTLS_BYTES_TO_T_UINT_8(0x5A, 0xA2, 0xBE, 0x96, 0xF4, 0xF8, 0x02, 0xC3),
610 MBEDTLS_BYTES_TO_T_UINT_8(0xA4, 0x20, 0x49, 0x54, 0xEA, 0xB3, 0x82, 0xDB),
611 MBEDTLS_BYTES_TO_T_UINT_8(0x2E, 0xDB, 0xEA, 0x02, 0xD1, 0x75, 0x1C, 0x62),
kXuanba9cb762021-04-08 14:32:06 +0800612};
613static const mbedtls_mpi_uint secp256r1_T_3_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100614 MBEDTLS_BYTES_TO_T_UINT_8(0xF0, 0x85, 0xF4, 0x9E, 0x4C, 0xDC, 0x39, 0x89),
615 MBEDTLS_BYTES_TO_T_UINT_8(0x63, 0x6D, 0xC4, 0x57, 0xD8, 0x03, 0x5D, 0x22),
616 MBEDTLS_BYTES_TO_T_UINT_8(0x70, 0x7F, 0x2D, 0x52, 0x6F, 0xC9, 0xDA, 0x4F),
617 MBEDTLS_BYTES_TO_T_UINT_8(0x9D, 0x64, 0xFA, 0xB4, 0xFE, 0xA4, 0xC4, 0xD7),
kXuanba9cb762021-04-08 14:32:06 +0800618};
619static const mbedtls_mpi_uint secp256r1_T_4_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100620 MBEDTLS_BYTES_TO_T_UINT_8(0x2A, 0x37, 0xB9, 0xC0, 0xAA, 0x59, 0xC6, 0x8B),
621 MBEDTLS_BYTES_TO_T_UINT_8(0x3F, 0x58, 0xD9, 0xED, 0x58, 0x99, 0x65, 0xF7),
622 MBEDTLS_BYTES_TO_T_UINT_8(0x88, 0x7D, 0x26, 0x8C, 0x4A, 0xF9, 0x05, 0x9F),
623 MBEDTLS_BYTES_TO_T_UINT_8(0x9D, 0x73, 0x9A, 0xC9, 0xE7, 0x46, 0xDC, 0x00),
kXuanba9cb762021-04-08 14:32:06 +0800624};
625static const mbedtls_mpi_uint secp256r1_T_4_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100626 MBEDTLS_BYTES_TO_T_UINT_8(0xF2, 0xD0, 0x55, 0xDF, 0x00, 0x0A, 0xF5, 0x4A),
627 MBEDTLS_BYTES_TO_T_UINT_8(0x6A, 0xBF, 0x56, 0x81, 0x2D, 0x20, 0xEB, 0xB5),
628 MBEDTLS_BYTES_TO_T_UINT_8(0x11, 0xC1, 0x28, 0x52, 0xAB, 0xE3, 0xD1, 0x40),
629 MBEDTLS_BYTES_TO_T_UINT_8(0x24, 0x34, 0x79, 0x45, 0x57, 0xA5, 0x12, 0x03),
kXuanba9cb762021-04-08 14:32:06 +0800630};
631static const mbedtls_mpi_uint secp256r1_T_5_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100632 MBEDTLS_BYTES_TO_T_UINT_8(0xEE, 0xCF, 0xB8, 0x7E, 0xF7, 0x92, 0x96, 0x8D),
633 MBEDTLS_BYTES_TO_T_UINT_8(0x3D, 0x01, 0x8C, 0x0D, 0x23, 0xF2, 0xE3, 0x05),
634 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0x2E, 0xE3, 0x84, 0x52, 0x7A, 0x34, 0x76),
635 MBEDTLS_BYTES_TO_T_UINT_8(0xE5, 0xA1, 0xB0, 0x15, 0x90, 0xE2, 0x53, 0x3C),
kXuanba9cb762021-04-08 14:32:06 +0800636};
637static const mbedtls_mpi_uint secp256r1_T_5_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100638 MBEDTLS_BYTES_TO_T_UINT_8(0xD4, 0x98, 0xE7, 0xFA, 0xA5, 0x7D, 0x8B, 0x53),
639 MBEDTLS_BYTES_TO_T_UINT_8(0x91, 0x35, 0xD2, 0x00, 0xD1, 0x1B, 0x9F, 0x1B),
640 MBEDTLS_BYTES_TO_T_UINT_8(0x3F, 0x69, 0x08, 0x9A, 0x72, 0xF0, 0xA9, 0x11),
641 MBEDTLS_BYTES_TO_T_UINT_8(0xB3, 0xFE, 0x0E, 0x14, 0xDA, 0x7C, 0x0E, 0xD3),
kXuanba9cb762021-04-08 14:32:06 +0800642};
643static const mbedtls_mpi_uint secp256r1_T_6_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100644 MBEDTLS_BYTES_TO_T_UINT_8(0x83, 0xF6, 0xE8, 0xF8, 0x87, 0xF7, 0xFC, 0x6D),
645 MBEDTLS_BYTES_TO_T_UINT_8(0x90, 0xBE, 0x7F, 0x3F, 0x7A, 0x2B, 0xD7, 0x13),
646 MBEDTLS_BYTES_TO_T_UINT_8(0xCF, 0x32, 0xF2, 0x2D, 0x94, 0x6D, 0x42, 0xFD),
647 MBEDTLS_BYTES_TO_T_UINT_8(0xAD, 0x9A, 0xE3, 0x5F, 0x42, 0xBB, 0x84, 0xED),
kXuanba9cb762021-04-08 14:32:06 +0800648};
649static const mbedtls_mpi_uint secp256r1_T_6_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100650 MBEDTLS_BYTES_TO_T_UINT_8(0xFC, 0x95, 0x29, 0x73, 0xA1, 0x67, 0x3E, 0x02),
651 MBEDTLS_BYTES_TO_T_UINT_8(0xE3, 0x30, 0x54, 0x35, 0x8E, 0x0A, 0xDD, 0x67),
652 MBEDTLS_BYTES_TO_T_UINT_8(0x03, 0xD7, 0xA1, 0x97, 0x61, 0x3B, 0xF8, 0x0C),
653 MBEDTLS_BYTES_TO_T_UINT_8(0xF2, 0x33, 0x3C, 0x58, 0x55, 0x34, 0x23, 0xA3),
kXuanba9cb762021-04-08 14:32:06 +0800654};
655static const mbedtls_mpi_uint secp256r1_T_7_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100656 MBEDTLS_BYTES_TO_T_UINT_8(0x99, 0x5D, 0x16, 0x5F, 0x7B, 0xBC, 0xBB, 0xCE),
657 MBEDTLS_BYTES_TO_T_UINT_8(0x61, 0xEE, 0x4E, 0x8A, 0xC1, 0x51, 0xCC, 0x50),
658 MBEDTLS_BYTES_TO_T_UINT_8(0x1F, 0x0D, 0x4D, 0x1B, 0x53, 0x23, 0x1D, 0xB3),
659 MBEDTLS_BYTES_TO_T_UINT_8(0xDA, 0x2A, 0x38, 0x66, 0x52, 0x84, 0xE1, 0x95),
kXuanba9cb762021-04-08 14:32:06 +0800660};
661static const mbedtls_mpi_uint secp256r1_T_7_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100662 MBEDTLS_BYTES_TO_T_UINT_8(0x5B, 0x9B, 0x83, 0x0A, 0x81, 0x4F, 0xAD, 0xAC),
663 MBEDTLS_BYTES_TO_T_UINT_8(0x0F, 0xFF, 0x42, 0x41, 0x6E, 0xA9, 0xA2, 0xA0),
664 MBEDTLS_BYTES_TO_T_UINT_8(0x2F, 0xA1, 0x4F, 0x1F, 0x89, 0x82, 0xAA, 0x3E),
665 MBEDTLS_BYTES_TO_T_UINT_8(0xF3, 0xB8, 0x0F, 0x6B, 0x8F, 0x8C, 0xD6, 0x68),
kXuanba9cb762021-04-08 14:32:06 +0800666};
667static const mbedtls_mpi_uint secp256r1_T_8_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100668 MBEDTLS_BYTES_TO_T_UINT_8(0xF1, 0xB3, 0xBB, 0x51, 0x69, 0xA2, 0x11, 0x93),
669 MBEDTLS_BYTES_TO_T_UINT_8(0x65, 0x4F, 0x0F, 0x8D, 0xBD, 0x26, 0x0F, 0xE8),
670 MBEDTLS_BYTES_TO_T_UINT_8(0xB9, 0xCB, 0xEC, 0x6B, 0x34, 0xC3, 0x3D, 0x9D),
671 MBEDTLS_BYTES_TO_T_UINT_8(0xE4, 0x5D, 0x1E, 0x10, 0xD5, 0x44, 0xE2, 0x54),
kXuanba9cb762021-04-08 14:32:06 +0800672};
673static const mbedtls_mpi_uint secp256r1_T_8_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100674 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0x9E, 0xB1, 0xF1, 0x6E, 0x4C, 0xAD, 0xB3),
675 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0xE3, 0xC2, 0x58, 0xC0, 0xFB, 0x34, 0x43),
676 MBEDTLS_BYTES_TO_T_UINT_8(0x25, 0x9C, 0xDF, 0x35, 0x07, 0x41, 0xBD, 0x19),
677 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x6E, 0x10, 0xEC, 0x0E, 0xEC, 0xBB, 0xD6),
kXuanba9cb762021-04-08 14:32:06 +0800678};
679static const mbedtls_mpi_uint secp256r1_T_9_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100680 MBEDTLS_BYTES_TO_T_UINT_8(0xC8, 0xCF, 0xEF, 0x3F, 0x83, 0x1A, 0x88, 0xE8),
681 MBEDTLS_BYTES_TO_T_UINT_8(0x0B, 0x29, 0xB5, 0xB9, 0xE0, 0xC9, 0xA3, 0xAE),
682 MBEDTLS_BYTES_TO_T_UINT_8(0x88, 0x46, 0x1E, 0x77, 0xCD, 0x7E, 0xB3, 0x10),
683 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x21, 0xD0, 0xD4, 0xA3, 0x16, 0x08, 0xEE),
kXuanba9cb762021-04-08 14:32:06 +0800684};
685static const mbedtls_mpi_uint secp256r1_T_9_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100686 MBEDTLS_BYTES_TO_T_UINT_8(0xA1, 0xCA, 0xA8, 0xB3, 0xBF, 0x29, 0x99, 0x8E),
687 MBEDTLS_BYTES_TO_T_UINT_8(0xD1, 0xF2, 0x05, 0xC1, 0xCF, 0x5D, 0x91, 0x48),
688 MBEDTLS_BYTES_TO_T_UINT_8(0x9F, 0x01, 0x49, 0xDB, 0x82, 0xDF, 0x5F, 0x3A),
689 MBEDTLS_BYTES_TO_T_UINT_8(0xE1, 0x06, 0x90, 0xAD, 0xE3, 0x38, 0xA4, 0xC4),
kXuanba9cb762021-04-08 14:32:06 +0800690};
691static const mbedtls_mpi_uint secp256r1_T_10_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100692 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0xD2, 0x3A, 0xE8, 0x03, 0xC5, 0x6D, 0x5D),
693 MBEDTLS_BYTES_TO_T_UINT_8(0xBE, 0x35, 0xD0, 0xAE, 0x1D, 0x7A, 0x9F, 0xCA),
694 MBEDTLS_BYTES_TO_T_UINT_8(0x33, 0x1E, 0xD2, 0xCB, 0xAC, 0x88, 0x27, 0x55),
695 MBEDTLS_BYTES_TO_T_UINT_8(0xF0, 0xB9, 0x9C, 0xE0, 0x31, 0xDD, 0x99, 0x86),
kXuanba9cb762021-04-08 14:32:06 +0800696};
697static const mbedtls_mpi_uint secp256r1_T_10_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100698 MBEDTLS_BYTES_TO_T_UINT_8(0x61, 0xF9, 0x9B, 0x32, 0x96, 0x41, 0x58, 0x38),
699 MBEDTLS_BYTES_TO_T_UINT_8(0xF9, 0x5A, 0x2A, 0xB8, 0x96, 0x0E, 0xB2, 0x4C),
700 MBEDTLS_BYTES_TO_T_UINT_8(0xC1, 0x78, 0x2C, 0xC7, 0x08, 0x99, 0x19, 0x24),
701 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0x59, 0x28, 0xE9, 0x84, 0x54, 0xE6, 0x16),
kXuanba9cb762021-04-08 14:32:06 +0800702};
703static const mbedtls_mpi_uint secp256r1_T_11_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100704 MBEDTLS_BYTES_TO_T_UINT_8(0xDD, 0x38, 0x30, 0xDB, 0x70, 0x2C, 0x0A, 0xA2),
705 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0x5C, 0x9D, 0xE9, 0xD5, 0x46, 0x0B, 0x5F),
706 MBEDTLS_BYTES_TO_T_UINT_8(0x83, 0x0B, 0x60, 0x4B, 0x37, 0x7D, 0xB9, 0xC9),
707 MBEDTLS_BYTES_TO_T_UINT_8(0x5E, 0x24, 0xF3, 0x3D, 0x79, 0x7F, 0x6C, 0x18),
kXuanba9cb762021-04-08 14:32:06 +0800708};
709static const mbedtls_mpi_uint secp256r1_T_11_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100710 MBEDTLS_BYTES_TO_T_UINT_8(0x7F, 0xE5, 0x1C, 0x4F, 0x60, 0x24, 0xF7, 0x2A),
711 MBEDTLS_BYTES_TO_T_UINT_8(0xED, 0xD8, 0xE2, 0x91, 0x7F, 0x89, 0x49, 0x92),
712 MBEDTLS_BYTES_TO_T_UINT_8(0x97, 0xA7, 0x2E, 0x8D, 0x6A, 0xB3, 0x39, 0x81),
713 MBEDTLS_BYTES_TO_T_UINT_8(0x13, 0x89, 0xB5, 0x9A, 0xB8, 0x8D, 0x42, 0x9C),
kXuanba9cb762021-04-08 14:32:06 +0800714};
715static const mbedtls_mpi_uint secp256r1_T_12_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100716 MBEDTLS_BYTES_TO_T_UINT_8(0x8D, 0x45, 0xE6, 0x4B, 0x3F, 0x4F, 0x1E, 0x1F),
717 MBEDTLS_BYTES_TO_T_UINT_8(0x47, 0x65, 0x5E, 0x59, 0x22, 0xCC, 0x72, 0x5F),
718 MBEDTLS_BYTES_TO_T_UINT_8(0xF1, 0x93, 0x1A, 0x27, 0x1E, 0x34, 0xC5, 0x5B),
719 MBEDTLS_BYTES_TO_T_UINT_8(0x63, 0xF2, 0xA5, 0x58, 0x5C, 0x15, 0x2E, 0xC6),
kXuanba9cb762021-04-08 14:32:06 +0800720};
721static const mbedtls_mpi_uint secp256r1_T_12_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100722 MBEDTLS_BYTES_TO_T_UINT_8(0xF4, 0x7F, 0xBA, 0x58, 0x5A, 0x84, 0x6F, 0x5F),
723 MBEDTLS_BYTES_TO_T_UINT_8(0xAD, 0xA6, 0x36, 0x7E, 0xDC, 0xF7, 0xE1, 0x67),
724 MBEDTLS_BYTES_TO_T_UINT_8(0x04, 0x4D, 0xAA, 0xEE, 0x57, 0x76, 0x3A, 0xD3),
725 MBEDTLS_BYTES_TO_T_UINT_8(0x4E, 0x7E, 0x26, 0x18, 0x22, 0x23, 0x9F, 0xFF),
kXuanba9cb762021-04-08 14:32:06 +0800726};
727static const mbedtls_mpi_uint secp256r1_T_13_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100728 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0x4C, 0x64, 0xC7, 0x55, 0x02, 0x3F, 0xE3),
729 MBEDTLS_BYTES_TO_T_UINT_8(0xD8, 0x02, 0x90, 0xBB, 0xC3, 0xEC, 0x30, 0x40),
730 MBEDTLS_BYTES_TO_T_UINT_8(0x9F, 0x6F, 0x64, 0xF4, 0x16, 0x69, 0x48, 0xA4),
731 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0x44, 0x9C, 0x95, 0x0C, 0x7D, 0x67, 0x5E),
kXuanba9cb762021-04-08 14:32:06 +0800732};
733static const mbedtls_mpi_uint secp256r1_T_13_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100734 MBEDTLS_BYTES_TO_T_UINT_8(0x44, 0x91, 0x8B, 0xD8, 0xD0, 0xD7, 0xE7, 0xE2),
735 MBEDTLS_BYTES_TO_T_UINT_8(0x1F, 0xF9, 0x48, 0x62, 0x6F, 0xA8, 0x93, 0x5D),
736 MBEDTLS_BYTES_TO_T_UINT_8(0xEA, 0x3A, 0x99, 0x02, 0xD5, 0x0B, 0x3D, 0xE3),
737 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0xD3, 0x00, 0x31, 0xE6, 0x0C, 0x9F, 0x44),
kXuanba9cb762021-04-08 14:32:06 +0800738};
739static const mbedtls_mpi_uint secp256r1_T_14_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100740 MBEDTLS_BYTES_TO_T_UINT_8(0x56, 0xB2, 0xAA, 0xFD, 0x88, 0x15, 0xDF, 0x52),
741 MBEDTLS_BYTES_TO_T_UINT_8(0x4C, 0x35, 0x27, 0x31, 0x44, 0xCD, 0xC0, 0x68),
742 MBEDTLS_BYTES_TO_T_UINT_8(0x53, 0xF8, 0x91, 0xA5, 0x71, 0x94, 0x84, 0x2A),
743 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0xCB, 0xD0, 0x93, 0xE9, 0x88, 0xDA, 0xE4),
kXuanba9cb762021-04-08 14:32:06 +0800744};
745static const mbedtls_mpi_uint secp256r1_T_14_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100746 MBEDTLS_BYTES_TO_T_UINT_8(0x24, 0xC6, 0x39, 0x16, 0x5D, 0xA3, 0x1E, 0x6D),
747 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0x07, 0x37, 0x26, 0x36, 0x2A, 0xFE, 0x60),
748 MBEDTLS_BYTES_TO_T_UINT_8(0x51, 0xBC, 0xF3, 0xD0, 0xDE, 0x50, 0xFC, 0x97),
749 MBEDTLS_BYTES_TO_T_UINT_8(0x80, 0x2E, 0x06, 0x10, 0x15, 0x4D, 0xFA, 0xF7),
kXuanba9cb762021-04-08 14:32:06 +0800750};
751static const mbedtls_mpi_uint secp256r1_T_15_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100752 MBEDTLS_BYTES_TO_T_UINT_8(0x27, 0x65, 0x69, 0x5B, 0x66, 0xA2, 0x75, 0x2E),
753 MBEDTLS_BYTES_TO_T_UINT_8(0x9C, 0x16, 0x00, 0x5A, 0xB0, 0x30, 0x25, 0x1A),
754 MBEDTLS_BYTES_TO_T_UINT_8(0x42, 0xFB, 0x86, 0x42, 0x80, 0xC1, 0xC4, 0x76),
755 MBEDTLS_BYTES_TO_T_UINT_8(0x5B, 0x1D, 0x83, 0x8E, 0x94, 0x01, 0x5F, 0x82),
kXuanba9cb762021-04-08 14:32:06 +0800756};
757static const mbedtls_mpi_uint secp256r1_T_15_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100758 MBEDTLS_BYTES_TO_T_UINT_8(0x39, 0x37, 0x70, 0xEF, 0x1F, 0xA1, 0xF0, 0xDB),
759 MBEDTLS_BYTES_TO_T_UINT_8(0x6A, 0x10, 0x5B, 0xCE, 0xC4, 0x9B, 0x6F, 0x10),
760 MBEDTLS_BYTES_TO_T_UINT_8(0x50, 0x11, 0x11, 0x24, 0x4F, 0x4C, 0x79, 0x61),
761 MBEDTLS_BYTES_TO_T_UINT_8(0x17, 0x3A, 0x72, 0xBC, 0xFE, 0x72, 0x58, 0x43),
kXuanba9cb762021-04-08 14:32:06 +0800762};
763static const mbedtls_ecp_point secp256r1_T[16] = {
764 ECP_POINT_INIT_XY_Z1(secp256r1_T_0_X, secp256r1_T_0_Y),
765 ECP_POINT_INIT_XY_Z0(secp256r1_T_1_X, secp256r1_T_1_Y),
766 ECP_POINT_INIT_XY_Z0(secp256r1_T_2_X, secp256r1_T_2_Y),
767 ECP_POINT_INIT_XY_Z0(secp256r1_T_3_X, secp256r1_T_3_Y),
768 ECP_POINT_INIT_XY_Z0(secp256r1_T_4_X, secp256r1_T_4_Y),
769 ECP_POINT_INIT_XY_Z0(secp256r1_T_5_X, secp256r1_T_5_Y),
770 ECP_POINT_INIT_XY_Z0(secp256r1_T_6_X, secp256r1_T_6_Y),
771 ECP_POINT_INIT_XY_Z0(secp256r1_T_7_X, secp256r1_T_7_Y),
772 ECP_POINT_INIT_XY_Z0(secp256r1_T_8_X, secp256r1_T_8_Y),
773 ECP_POINT_INIT_XY_Z0(secp256r1_T_9_X, secp256r1_T_9_Y),
774 ECP_POINT_INIT_XY_Z0(secp256r1_T_10_X, secp256r1_T_10_Y),
775 ECP_POINT_INIT_XY_Z0(secp256r1_T_11_X, secp256r1_T_11_Y),
776 ECP_POINT_INIT_XY_Z0(secp256r1_T_12_X, secp256r1_T_12_Y),
777 ECP_POINT_INIT_XY_Z0(secp256r1_T_13_X, secp256r1_T_13_Y),
778 ECP_POINT_INIT_XY_Z0(secp256r1_T_14_X, secp256r1_T_14_Y),
779 ECP_POINT_INIT_XY_Z0(secp256r1_T_15_X, secp256r1_T_15_Y),
780};
781#else
782#define secp256r1_T NULL
783#endif
784
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200785#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +0100786
787/*
788 * Domain parameters for secp384r1
789 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200790#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
791static const mbedtls_mpi_uint secp384r1_p[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100792 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00),
793 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF),
794 MBEDTLS_BYTES_TO_T_UINT_8(0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
795 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
796 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
797 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100798};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200799static const mbedtls_mpi_uint secp384r1_b[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100800 MBEDTLS_BYTES_TO_T_UINT_8(0xEF, 0x2A, 0xEC, 0xD3, 0xED, 0xC8, 0x85, 0x2A),
801 MBEDTLS_BYTES_TO_T_UINT_8(0x9D, 0xD1, 0x2E, 0x8A, 0x8D, 0x39, 0x56, 0xC6),
802 MBEDTLS_BYTES_TO_T_UINT_8(0x5A, 0x87, 0x13, 0x50, 0x8F, 0x08, 0x14, 0x03),
803 MBEDTLS_BYTES_TO_T_UINT_8(0x12, 0x41, 0x81, 0xFE, 0x6E, 0x9C, 0x1D, 0x18),
804 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0x2D, 0xF8, 0xE3, 0x6B, 0x05, 0x8E, 0x98),
805 MBEDTLS_BYTES_TO_T_UINT_8(0xE4, 0xE7, 0x3E, 0xE2, 0xA7, 0x2F, 0x31, 0xB3),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100806};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200807static const mbedtls_mpi_uint secp384r1_gx[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100808 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A),
809 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55),
810 MBEDTLS_BYTES_TO_T_UINT_8(0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59),
811 MBEDTLS_BYTES_TO_T_UINT_8(0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E),
812 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E),
813 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100814};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200815static const mbedtls_mpi_uint secp384r1_gy[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100816 MBEDTLS_BYTES_TO_T_UINT_8(0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A),
817 MBEDTLS_BYTES_TO_T_UINT_8(0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A),
818 MBEDTLS_BYTES_TO_T_UINT_8(0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9),
819 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8),
820 MBEDTLS_BYTES_TO_T_UINT_8(0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D),
821 MBEDTLS_BYTES_TO_T_UINT_8(0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100822};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200823static const mbedtls_mpi_uint secp384r1_n[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100824 MBEDTLS_BYTES_TO_T_UINT_8(0x73, 0x29, 0xC5, 0xCC, 0x6A, 0x19, 0xEC, 0xEC),
825 MBEDTLS_BYTES_TO_T_UINT_8(0x7A, 0xA7, 0xB0, 0x48, 0xB2, 0x0D, 0x1A, 0x58),
826 MBEDTLS_BYTES_TO_T_UINT_8(0xDF, 0x2D, 0x37, 0xF4, 0x81, 0x4D, 0x63, 0xC7),
827 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
828 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
829 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100830};
kXuanba9cb762021-04-08 14:32:06 +0800831#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
832static const mbedtls_mpi_uint secp384r1_T_0_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100833 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A),
834 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55),
835 MBEDTLS_BYTES_TO_T_UINT_8(0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59),
836 MBEDTLS_BYTES_TO_T_UINT_8(0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E),
837 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E),
838 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA),
kXuanba9cb762021-04-08 14:32:06 +0800839};
840static const mbedtls_mpi_uint secp384r1_T_0_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100841 MBEDTLS_BYTES_TO_T_UINT_8(0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A),
842 MBEDTLS_BYTES_TO_T_UINT_8(0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A),
843 MBEDTLS_BYTES_TO_T_UINT_8(0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9),
844 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8),
845 MBEDTLS_BYTES_TO_T_UINT_8(0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D),
846 MBEDTLS_BYTES_TO_T_UINT_8(0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36),
kXuanba9cb762021-04-08 14:32:06 +0800847};
848static const mbedtls_mpi_uint secp384r1_T_1_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100849 MBEDTLS_BYTES_TO_T_UINT_8(0x46, 0x92, 0x00, 0x2C, 0x78, 0xDB, 0x1F, 0x37),
850 MBEDTLS_BYTES_TO_T_UINT_8(0x17, 0xF3, 0xEB, 0xB7, 0x06, 0xF7, 0xB6, 0xBC),
851 MBEDTLS_BYTES_TO_T_UINT_8(0x3D, 0xBC, 0x2C, 0xCF, 0xD8, 0xED, 0x53, 0xE7),
852 MBEDTLS_BYTES_TO_T_UINT_8(0x52, 0x75, 0x7B, 0xA3, 0xAB, 0xC3, 0x2C, 0x85),
853 MBEDTLS_BYTES_TO_T_UINT_8(0xE5, 0x9D, 0x78, 0x41, 0xF6, 0x76, 0x84, 0xAC),
854 MBEDTLS_BYTES_TO_T_UINT_8(0x54, 0x56, 0xE8, 0x52, 0xB3, 0xCB, 0xA8, 0xBD),
kXuanba9cb762021-04-08 14:32:06 +0800855};
856static const mbedtls_mpi_uint secp384r1_T_1_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100857 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0xF2, 0xAE, 0xA4, 0xB6, 0x89, 0x1B, 0xDA),
858 MBEDTLS_BYTES_TO_T_UINT_8(0x01, 0x0F, 0xCE, 0x1C, 0x7C, 0xF6, 0x50, 0x4C),
859 MBEDTLS_BYTES_TO_T_UINT_8(0x4C, 0xEB, 0x90, 0xE6, 0x4D, 0xC7, 0xD4, 0x7A),
860 MBEDTLS_BYTES_TO_T_UINT_8(0xD1, 0x49, 0x2D, 0x8A, 0x01, 0x99, 0x60, 0x94),
861 MBEDTLS_BYTES_TO_T_UINT_8(0x5F, 0x80, 0x9B, 0x9B, 0x6A, 0xB0, 0x07, 0xD9),
862 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0xA2, 0xEE, 0x59, 0xBE, 0x95, 0xBC, 0x23),
kXuanba9cb762021-04-08 14:32:06 +0800863};
864static const mbedtls_mpi_uint secp384r1_T_2_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100865 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0x9D, 0x56, 0xAE, 0x59, 0xFB, 0x1F, 0x98),
866 MBEDTLS_BYTES_TO_T_UINT_8(0xCF, 0xAC, 0x91, 0x80, 0x87, 0xA8, 0x6E, 0x58),
867 MBEDTLS_BYTES_TO_T_UINT_8(0x30, 0x08, 0xA7, 0x08, 0x94, 0x32, 0xFC, 0x67),
868 MBEDTLS_BYTES_TO_T_UINT_8(0x9F, 0x29, 0x9E, 0x84, 0xF4, 0xE5, 0x6E, 0x7E),
869 MBEDTLS_BYTES_TO_T_UINT_8(0x55, 0x21, 0xB9, 0x50, 0x24, 0xF8, 0x9C, 0xC7),
870 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0x04, 0x01, 0xC2, 0xFB, 0x77, 0x3E, 0xDE),
kXuanba9cb762021-04-08 14:32:06 +0800871};
872static const mbedtls_mpi_uint secp384r1_T_2_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100873 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x38, 0xEE, 0xE3, 0xC7, 0x9D, 0xEC, 0xA6),
874 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x88, 0xCF, 0x43, 0xFA, 0x92, 0x5E, 0x8E),
875 MBEDTLS_BYTES_TO_T_UINT_8(0xE9, 0xCA, 0x43, 0xF8, 0x3B, 0x49, 0x7E, 0x75),
876 MBEDTLS_BYTES_TO_T_UINT_8(0x1C, 0xE7, 0xEB, 0x17, 0x45, 0x86, 0xC2, 0xE1),
877 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0x69, 0x57, 0x32, 0xE0, 0x9C, 0xD1, 0x00),
878 MBEDTLS_BYTES_TO_T_UINT_8(0xD9, 0x10, 0xB8, 0x4D, 0xB8, 0xF4, 0x0D, 0xE3),
kXuanba9cb762021-04-08 14:32:06 +0800879};
880static const mbedtls_mpi_uint secp384r1_T_3_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100881 MBEDTLS_BYTES_TO_T_UINT_8(0x60, 0xDC, 0x9A, 0xB2, 0x79, 0x39, 0x27, 0x16),
882 MBEDTLS_BYTES_TO_T_UINT_8(0x4F, 0x71, 0xE4, 0x3B, 0x4D, 0x60, 0x0C, 0xA3),
883 MBEDTLS_BYTES_TO_T_UINT_8(0x55, 0xBD, 0x19, 0x40, 0xFA, 0x19, 0x2A, 0x5A),
884 MBEDTLS_BYTES_TO_T_UINT_8(0x4D, 0xF8, 0x1E, 0x43, 0xA1, 0x50, 0x8D, 0xEF),
885 MBEDTLS_BYTES_TO_T_UINT_8(0xA3, 0x18, 0x7C, 0x41, 0xFA, 0x7C, 0x1B, 0x58),
886 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x59, 0x24, 0xC4, 0xE9, 0xB7, 0xD3, 0xAD),
kXuanba9cb762021-04-08 14:32:06 +0800887};
888static const mbedtls_mpi_uint secp384r1_T_3_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100889 MBEDTLS_BYTES_TO_T_UINT_8(0xBB, 0x01, 0x3D, 0x63, 0x54, 0x45, 0x6F, 0xB7),
890 MBEDTLS_BYTES_TO_T_UINT_8(0x7B, 0xB2, 0x19, 0xA3, 0x86, 0x1D, 0x42, 0x34),
891 MBEDTLS_BYTES_TO_T_UINT_8(0x84, 0x02, 0x87, 0x18, 0x92, 0x52, 0x1A, 0x71),
892 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x18, 0xB1, 0x5D, 0x18, 0x1B, 0x37, 0xFE),
893 MBEDTLS_BYTES_TO_T_UINT_8(0xF4, 0x74, 0x61, 0xBA, 0x18, 0xAF, 0x40, 0x30),
894 MBEDTLS_BYTES_TO_T_UINT_8(0xDA, 0x7D, 0x3C, 0x52, 0x0F, 0x07, 0xB0, 0x6F),
kXuanba9cb762021-04-08 14:32:06 +0800895};
896static const mbedtls_mpi_uint secp384r1_T_4_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100897 MBEDTLS_BYTES_TO_T_UINT_8(0x09, 0x39, 0x13, 0xAA, 0x60, 0x15, 0x99, 0x30),
898 MBEDTLS_BYTES_TO_T_UINT_8(0x17, 0x00, 0xCB, 0xC6, 0xB1, 0xDB, 0x97, 0x90),
899 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0xFA, 0x60, 0xB8, 0x24, 0xE4, 0x7D, 0xD3),
900 MBEDTLS_BYTES_TO_T_UINT_8(0xDD, 0x75, 0xB3, 0x70, 0xB2, 0x83, 0xB1, 0x9B),
901 MBEDTLS_BYTES_TO_T_UINT_8(0xA3, 0xE3, 0x6C, 0xCD, 0x33, 0x62, 0x7A, 0x56),
902 MBEDTLS_BYTES_TO_T_UINT_8(0x88, 0x30, 0xDC, 0x0F, 0x9F, 0xBB, 0xB8, 0xAA),
kXuanba9cb762021-04-08 14:32:06 +0800903};
904static const mbedtls_mpi_uint secp384r1_T_4_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100905 MBEDTLS_BYTES_TO_T_UINT_8(0xA6, 0xD5, 0x0A, 0x60, 0x81, 0xB9, 0xC5, 0x16),
906 MBEDTLS_BYTES_TO_T_UINT_8(0x44, 0xAA, 0x2F, 0xD6, 0xF2, 0x73, 0xDF, 0xEB),
907 MBEDTLS_BYTES_TO_T_UINT_8(0xF3, 0x7B, 0x74, 0xC9, 0xB3, 0x5B, 0x95, 0x6D),
908 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0x04, 0xEB, 0x15, 0xC8, 0x5F, 0x00, 0xF6),
909 MBEDTLS_BYTES_TO_T_UINT_8(0xB5, 0x50, 0x20, 0x28, 0xD1, 0x01, 0xAF, 0xF0),
910 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0x6D, 0x4F, 0x31, 0x81, 0x2F, 0x94, 0x48),
kXuanba9cb762021-04-08 14:32:06 +0800911};
912static const mbedtls_mpi_uint secp384r1_T_5_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100913 MBEDTLS_BYTES_TO_T_UINT_8(0x46, 0x2F, 0xD8, 0xB6, 0x63, 0x7C, 0xE9, 0x50),
914 MBEDTLS_BYTES_TO_T_UINT_8(0xD9, 0x8C, 0xB9, 0x14, 0xD9, 0x37, 0x63, 0xDE),
915 MBEDTLS_BYTES_TO_T_UINT_8(0x10, 0x02, 0xB8, 0x46, 0xAD, 0xCE, 0x7B, 0x38),
916 MBEDTLS_BYTES_TO_T_UINT_8(0x82, 0x47, 0x2D, 0x66, 0xA7, 0xE9, 0x33, 0x23),
917 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0xF9, 0x93, 0x94, 0xA8, 0x48, 0xB3, 0x4F),
918 MBEDTLS_BYTES_TO_T_UINT_8(0xE9, 0x4A, 0xAC, 0x51, 0x08, 0x72, 0x2F, 0x1A),
kXuanba9cb762021-04-08 14:32:06 +0800919};
920static const mbedtls_mpi_uint secp384r1_T_5_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100921 MBEDTLS_BYTES_TO_T_UINT_8(0xDA, 0xAD, 0xA0, 0xF9, 0x81, 0xE1, 0x78, 0x97),
922 MBEDTLS_BYTES_TO_T_UINT_8(0x3A, 0x9A, 0x63, 0xD8, 0xBA, 0x79, 0x1A, 0x17),
923 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0x31, 0x7B, 0x7A, 0x5A, 0x5D, 0x7D, 0x2D),
924 MBEDTLS_BYTES_TO_T_UINT_8(0x83, 0x96, 0x12, 0x4B, 0x19, 0x09, 0xE0, 0xB7),
925 MBEDTLS_BYTES_TO_T_UINT_8(0x55, 0x8A, 0x57, 0xEE, 0x4E, 0x6E, 0x7E, 0xEC),
926 MBEDTLS_BYTES_TO_T_UINT_8(0x11, 0x9D, 0x69, 0xDC, 0xB3, 0xDA, 0xD8, 0x08),
kXuanba9cb762021-04-08 14:32:06 +0800927};
928static const mbedtls_mpi_uint secp384r1_T_6_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100929 MBEDTLS_BYTES_TO_T_UINT_8(0x68, 0x49, 0x03, 0x03, 0x33, 0x6F, 0x28, 0x4A),
930 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0xDB, 0xA7, 0x05, 0x8C, 0xF3, 0x4D, 0xFB),
931 MBEDTLS_BYTES_TO_T_UINT_8(0x8E, 0x92, 0xB1, 0xA8, 0xEC, 0x0D, 0x64, 0x3B),
932 MBEDTLS_BYTES_TO_T_UINT_8(0x4E, 0xFC, 0xFD, 0xD0, 0x4B, 0x88, 0x1B, 0x5D),
933 MBEDTLS_BYTES_TO_T_UINT_8(0x83, 0x9C, 0x51, 0x69, 0xCE, 0x71, 0x73, 0xF5),
934 MBEDTLS_BYTES_TO_T_UINT_8(0xB8, 0x5A, 0x14, 0x23, 0x1A, 0x46, 0x63, 0x5F),
kXuanba9cb762021-04-08 14:32:06 +0800935};
936static const mbedtls_mpi_uint secp384r1_T_6_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100937 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0x4C, 0x70, 0x44, 0x18, 0xCD, 0xEF, 0xED),
938 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0x49, 0xDD, 0x64, 0x7E, 0x7E, 0x4D, 0x92),
939 MBEDTLS_BYTES_TO_T_UINT_8(0xA2, 0x32, 0x7C, 0x09, 0xD0, 0x3F, 0xD6, 0x2C),
940 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0xE0, 0x4F, 0x65, 0x0C, 0x7A, 0x54, 0x3E),
941 MBEDTLS_BYTES_TO_T_UINT_8(0x16, 0xFA, 0xFB, 0x4A, 0xB4, 0x79, 0x5A, 0x8C),
942 MBEDTLS_BYTES_TO_T_UINT_8(0x04, 0x5D, 0x1B, 0x2B, 0xDA, 0xBC, 0x9A, 0x74),
kXuanba9cb762021-04-08 14:32:06 +0800943};
944static const mbedtls_mpi_uint secp384r1_T_7_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100945 MBEDTLS_BYTES_TO_T_UINT_8(0x51, 0xAC, 0x56, 0xF7, 0x5F, 0x51, 0x68, 0x0B),
946 MBEDTLS_BYTES_TO_T_UINT_8(0xC6, 0xE0, 0x1D, 0xBC, 0x13, 0x4E, 0xAC, 0x03),
947 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0xF5, 0xC5, 0xE6, 0xD2, 0x88, 0xBA, 0xCB),
948 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0x0E, 0x28, 0x23, 0x58, 0x67, 0xFA, 0xEE),
949 MBEDTLS_BYTES_TO_T_UINT_8(0x9E, 0x80, 0x4B, 0xD8, 0xC4, 0xDF, 0x15, 0xE4),
950 MBEDTLS_BYTES_TO_T_UINT_8(0xF1, 0x0E, 0x58, 0xE6, 0x2C, 0x59, 0xC2, 0x03),
kXuanba9cb762021-04-08 14:32:06 +0800951};
952static const mbedtls_mpi_uint secp384r1_T_7_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100953 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0x26, 0x27, 0x99, 0x16, 0x2B, 0x22, 0x0B),
954 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0xF3, 0x8F, 0xC3, 0x2A, 0x9B, 0xFC, 0x38),
955 MBEDTLS_BYTES_TO_T_UINT_8(0xFC, 0x2E, 0x83, 0x3D, 0xFE, 0x9E, 0x3C, 0x1B),
956 MBEDTLS_BYTES_TO_T_UINT_8(0x08, 0x57, 0xCD, 0x2D, 0xC1, 0x49, 0x38, 0xB5),
957 MBEDTLS_BYTES_TO_T_UINT_8(0x95, 0x42, 0x8B, 0x33, 0x89, 0x1F, 0xEA, 0x01),
958 MBEDTLS_BYTES_TO_T_UINT_8(0xAA, 0x1D, 0x13, 0xD7, 0x50, 0xBB, 0x3E, 0xEB),
kXuanba9cb762021-04-08 14:32:06 +0800959};
960static const mbedtls_mpi_uint secp384r1_T_8_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100961 MBEDTLS_BYTES_TO_T_UINT_8(0xD2, 0x9A, 0x52, 0xD2, 0x54, 0x7C, 0x97, 0xF2),
962 MBEDTLS_BYTES_TO_T_UINT_8(0xE0, 0x33, 0x6E, 0xED, 0xD9, 0x87, 0x50, 0xC5),
963 MBEDTLS_BYTES_TO_T_UINT_8(0x5A, 0x35, 0x7E, 0x16, 0x40, 0x15, 0x83, 0xB8),
964 MBEDTLS_BYTES_TO_T_UINT_8(0x33, 0x2B, 0xA4, 0xAB, 0x03, 0x91, 0xEA, 0xFE),
965 MBEDTLS_BYTES_TO_T_UINT_8(0xC1, 0x47, 0x39, 0xEF, 0x05, 0x59, 0xD0, 0x90),
966 MBEDTLS_BYTES_TO_T_UINT_8(0xBF, 0x24, 0x0D, 0x76, 0x11, 0x53, 0x08, 0xAF),
kXuanba9cb762021-04-08 14:32:06 +0800967};
968static const mbedtls_mpi_uint secp384r1_T_8_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100969 MBEDTLS_BYTES_TO_T_UINT_8(0x1F, 0x2F, 0xDD, 0xBD, 0x50, 0x48, 0xB1, 0xE5),
970 MBEDTLS_BYTES_TO_T_UINT_8(0x80, 0x1C, 0x84, 0x55, 0x78, 0x14, 0xEB, 0xF6),
971 MBEDTLS_BYTES_TO_T_UINT_8(0xD9, 0x5E, 0x3E, 0xA6, 0xAF, 0xF6, 0xC7, 0x04),
972 MBEDTLS_BYTES_TO_T_UINT_8(0xE7, 0x11, 0xE2, 0x65, 0xCA, 0x41, 0x95, 0x3B),
973 MBEDTLS_BYTES_TO_T_UINT_8(0xAE, 0x83, 0xD8, 0xE6, 0x4D, 0x22, 0x06, 0x2D),
974 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0x7F, 0x25, 0x2A, 0xAA, 0x28, 0x46, 0x97),
kXuanba9cb762021-04-08 14:32:06 +0800975};
976static const mbedtls_mpi_uint secp384r1_T_9_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100977 MBEDTLS_BYTES_TO_T_UINT_8(0x79, 0xDB, 0x15, 0x56, 0x84, 0xCB, 0xC0, 0x56),
978 MBEDTLS_BYTES_TO_T_UINT_8(0x56, 0xDB, 0x0E, 0x08, 0xC9, 0xF5, 0xD4, 0x9E),
979 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0x62, 0xD0, 0x1A, 0x7C, 0x13, 0xD5, 0x07),
980 MBEDTLS_BYTES_TO_T_UINT_8(0x7D, 0xAD, 0x53, 0xE0, 0x32, 0x21, 0xA0, 0xC0),
981 MBEDTLS_BYTES_TO_T_UINT_8(0xC5, 0x38, 0x81, 0x21, 0x23, 0x0E, 0xD2, 0xBB),
982 MBEDTLS_BYTES_TO_T_UINT_8(0x1C, 0x51, 0x05, 0xD0, 0x1E, 0x82, 0xA9, 0x71),
kXuanba9cb762021-04-08 14:32:06 +0800983};
984static const mbedtls_mpi_uint secp384r1_T_9_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100985 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0xC3, 0x27, 0xBF, 0xC6, 0xAA, 0xB7, 0xB9),
986 MBEDTLS_BYTES_TO_T_UINT_8(0xCB, 0x65, 0x45, 0xDF, 0xB9, 0x46, 0x17, 0x46),
987 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0x38, 0x3F, 0xB2, 0xB1, 0x5D, 0xCA, 0x1C),
988 MBEDTLS_BYTES_TO_T_UINT_8(0x88, 0x29, 0x6C, 0x63, 0xE9, 0xD7, 0x48, 0xB8),
989 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0xF1, 0xD7, 0x99, 0x8C, 0xC2, 0x05, 0x99),
990 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0xE6, 0x5E, 0x82, 0x6D, 0xE5, 0x7E, 0xD5),
kXuanba9cb762021-04-08 14:32:06 +0800991};
992static const mbedtls_mpi_uint secp384r1_T_10_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +0100993 MBEDTLS_BYTES_TO_T_UINT_8(0x7B, 0x61, 0xFA, 0x7D, 0x01, 0xDB, 0xB6, 0x63),
994 MBEDTLS_BYTES_TO_T_UINT_8(0x11, 0xC6, 0x58, 0x39, 0xF4, 0xC6, 0x82, 0x23),
995 MBEDTLS_BYTES_TO_T_UINT_8(0x47, 0x5A, 0x7A, 0x80, 0x08, 0xCD, 0xAA, 0xD8),
996 MBEDTLS_BYTES_TO_T_UINT_8(0xDA, 0x8C, 0xC6, 0x3F, 0x3C, 0xA5, 0x68, 0xF4),
997 MBEDTLS_BYTES_TO_T_UINT_8(0xBB, 0xF5, 0xD5, 0x17, 0xAE, 0x36, 0xD8, 0x8A),
998 MBEDTLS_BYTES_TO_T_UINT_8(0xC7, 0xAD, 0x92, 0xC5, 0x57, 0x6C, 0xDA, 0x91),
kXuanba9cb762021-04-08 14:32:06 +0800999};
1000static const mbedtls_mpi_uint secp384r1_T_10_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001001 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0x67, 0x17, 0xC0, 0x40, 0x78, 0x8C, 0x84),
1002 MBEDTLS_BYTES_TO_T_UINT_8(0x7E, 0x9F, 0xF4, 0xAA, 0xDA, 0x5C, 0x7E, 0xB2),
1003 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0xDB, 0x42, 0x3E, 0x72, 0x64, 0xA0, 0x67),
1004 MBEDTLS_BYTES_TO_T_UINT_8(0x27, 0xF9, 0x41, 0x17, 0x43, 0xE3, 0xE8, 0xA8),
1005 MBEDTLS_BYTES_TO_T_UINT_8(0x66, 0xDD, 0xCC, 0x43, 0x7E, 0x16, 0x05, 0x03),
1006 MBEDTLS_BYTES_TO_T_UINT_8(0x36, 0x4B, 0xCF, 0x48, 0x8F, 0x41, 0x90, 0xE5),
kXuanba9cb762021-04-08 14:32:06 +08001007};
1008static const mbedtls_mpi_uint secp384r1_T_11_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001009 MBEDTLS_BYTES_TO_T_UINT_8(0x98, 0x0C, 0x6B, 0x9D, 0x22, 0x04, 0xBC, 0x5C),
1010 MBEDTLS_BYTES_TO_T_UINT_8(0x86, 0x63, 0x79, 0x2F, 0x6A, 0x0E, 0x8A, 0xDE),
1011 MBEDTLS_BYTES_TO_T_UINT_8(0x29, 0x67, 0x3F, 0x02, 0xB8, 0x91, 0x7F, 0x74),
1012 MBEDTLS_BYTES_TO_T_UINT_8(0xFC, 0x14, 0x64, 0xA0, 0x33, 0xF4, 0x6B, 0x50),
1013 MBEDTLS_BYTES_TO_T_UINT_8(0x1C, 0x44, 0x71, 0x87, 0xB8, 0x88, 0x3F, 0x45),
1014 MBEDTLS_BYTES_TO_T_UINT_8(0x1B, 0x2B, 0x85, 0x05, 0xC5, 0x44, 0x53, 0x15),
kXuanba9cb762021-04-08 14:32:06 +08001015};
1016static const mbedtls_mpi_uint secp384r1_T_11_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001017 MBEDTLS_BYTES_TO_T_UINT_8(0x3E, 0x2B, 0xFE, 0xD1, 0x1C, 0x73, 0xE3, 0x2E),
1018 MBEDTLS_BYTES_TO_T_UINT_8(0x66, 0x33, 0xA1, 0xD3, 0x69, 0x1C, 0x9D, 0xD2),
1019 MBEDTLS_BYTES_TO_T_UINT_8(0xE0, 0x5A, 0xBA, 0xB6, 0xAE, 0x1B, 0x94, 0x04),
1020 MBEDTLS_BYTES_TO_T_UINT_8(0xAF, 0x74, 0x90, 0x5C, 0x57, 0xB0, 0x3A, 0x45),
1021 MBEDTLS_BYTES_TO_T_UINT_8(0xDD, 0x2F, 0x93, 0x20, 0x24, 0x54, 0x1D, 0x8D),
1022 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0x78, 0x9D, 0x71, 0x67, 0x5D, 0x49, 0x98),
kXuanba9cb762021-04-08 14:32:06 +08001023};
1024static const mbedtls_mpi_uint secp384r1_T_12_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001025 MBEDTLS_BYTES_TO_T_UINT_8(0x12, 0xC8, 0x0E, 0x11, 0x8D, 0xE0, 0x8F, 0x69),
1026 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0x7F, 0x79, 0x6C, 0x5F, 0xB7, 0xBC, 0xB1),
1027 MBEDTLS_BYTES_TO_T_UINT_8(0x88, 0xE1, 0x83, 0x3C, 0x12, 0xBB, 0xEE, 0x96),
1028 MBEDTLS_BYTES_TO_T_UINT_8(0x2A, 0xC2, 0xC4, 0x1B, 0x41, 0x71, 0xB9, 0x17),
1029 MBEDTLS_BYTES_TO_T_UINT_8(0xB0, 0xEE, 0xBB, 0x1D, 0x89, 0x50, 0x88, 0xF2),
1030 MBEDTLS_BYTES_TO_T_UINT_8(0xFC, 0x1C, 0x55, 0x74, 0xEB, 0xDE, 0x92, 0x3F),
kXuanba9cb762021-04-08 14:32:06 +08001031};
1032static const mbedtls_mpi_uint secp384r1_T_12_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001033 MBEDTLS_BYTES_TO_T_UINT_8(0x9C, 0x38, 0x92, 0x06, 0x19, 0xD0, 0xB3, 0xB2),
1034 MBEDTLS_BYTES_TO_T_UINT_8(0x2A, 0x99, 0x26, 0xA3, 0x5F, 0xE2, 0xC1, 0x81),
1035 MBEDTLS_BYTES_TO_T_UINT_8(0x75, 0xFC, 0xFD, 0xC3, 0xB6, 0x26, 0x24, 0x8F),
1036 MBEDTLS_BYTES_TO_T_UINT_8(0xAF, 0xAD, 0xE7, 0x49, 0xB7, 0x64, 0x4B, 0x96),
1037 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x4E, 0x95, 0xAD, 0x07, 0xFE, 0xB6, 0x30),
1038 MBEDTLS_BYTES_TO_T_UINT_8(0x4F, 0x15, 0xE7, 0x2D, 0x19, 0xA9, 0x08, 0x10),
kXuanba9cb762021-04-08 14:32:06 +08001039};
1040static const mbedtls_mpi_uint secp384r1_T_13_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001041 MBEDTLS_BYTES_TO_T_UINT_8(0xBE, 0xBD, 0xAC, 0x0A, 0x3F, 0x6B, 0xFF, 0xFA),
1042 MBEDTLS_BYTES_TO_T_UINT_8(0xE0, 0xE4, 0x74, 0x14, 0xD9, 0x70, 0x1D, 0x71),
1043 MBEDTLS_BYTES_TO_T_UINT_8(0xF2, 0xB0, 0x71, 0xBB, 0xD8, 0x18, 0x96, 0x2B),
1044 MBEDTLS_BYTES_TO_T_UINT_8(0xDA, 0xB8, 0x19, 0x90, 0x80, 0xB5, 0xEE, 0x01),
1045 MBEDTLS_BYTES_TO_T_UINT_8(0x91, 0x21, 0x20, 0xA6, 0x17, 0x48, 0x03, 0x6F),
1046 MBEDTLS_BYTES_TO_T_UINT_8(0xE3, 0x1D, 0xBB, 0x6D, 0x94, 0x20, 0x34, 0xF1),
kXuanba9cb762021-04-08 14:32:06 +08001047};
1048static const mbedtls_mpi_uint secp384r1_T_13_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001049 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0x82, 0x67, 0x4B, 0x8E, 0x4E, 0xBE, 0xE2),
1050 MBEDTLS_BYTES_TO_T_UINT_8(0xBE, 0xDA, 0x77, 0xF8, 0x23, 0x55, 0x2B, 0x2D),
1051 MBEDTLS_BYTES_TO_T_UINT_8(0x5C, 0x02, 0xDE, 0x25, 0x35, 0x2D, 0x74, 0x51),
1052 MBEDTLS_BYTES_TO_T_UINT_8(0xD0, 0x0C, 0xB8, 0x0B, 0x39, 0xBA, 0xAD, 0x04),
1053 MBEDTLS_BYTES_TO_T_UINT_8(0xA6, 0x0E, 0x28, 0x4D, 0xE1, 0x3D, 0xE4, 0x1B),
1054 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0xEC, 0x0A, 0xD4, 0xB8, 0xC4, 0x8D, 0xB0),
kXuanba9cb762021-04-08 14:32:06 +08001055};
1056static const mbedtls_mpi_uint secp384r1_T_14_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001057 MBEDTLS_BYTES_TO_T_UINT_8(0x3E, 0x68, 0xCE, 0xC2, 0x55, 0x4D, 0x0C, 0x6D),
1058 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0x20, 0x93, 0x32, 0x90, 0xD6, 0xAE, 0x47),
1059 MBEDTLS_BYTES_TO_T_UINT_8(0xDD, 0x78, 0xAB, 0x43, 0x9E, 0xEB, 0x73, 0xAE),
1060 MBEDTLS_BYTES_TO_T_UINT_8(0xED, 0x97, 0xC3, 0x83, 0xA6, 0x3C, 0xF1, 0xBF),
1061 MBEDTLS_BYTES_TO_T_UINT_8(0x0F, 0x25, 0x25, 0x66, 0x08, 0x26, 0xFA, 0x4B),
1062 MBEDTLS_BYTES_TO_T_UINT_8(0x41, 0xFB, 0x44, 0x5D, 0x82, 0xEC, 0x3B, 0xAC),
kXuanba9cb762021-04-08 14:32:06 +08001063};
1064static const mbedtls_mpi_uint secp384r1_T_14_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001065 MBEDTLS_BYTES_TO_T_UINT_8(0x58, 0x90, 0xEA, 0xB5, 0x04, 0x99, 0xD0, 0x69),
1066 MBEDTLS_BYTES_TO_T_UINT_8(0x4A, 0xF2, 0x22, 0xA0, 0xEB, 0xFD, 0x45, 0x87),
1067 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0xA4, 0x81, 0x32, 0xFC, 0xFA, 0xEE, 0x5B),
1068 MBEDTLS_BYTES_TO_T_UINT_8(0x27, 0xBB, 0xA4, 0x6A, 0x77, 0x41, 0x5C, 0x1D),
1069 MBEDTLS_BYTES_TO_T_UINT_8(0xA1, 0x1E, 0xAA, 0x4F, 0xF0, 0x10, 0xB3, 0x50),
1070 MBEDTLS_BYTES_TO_T_UINT_8(0x09, 0x74, 0x13, 0x14, 0x9E, 0x90, 0xD7, 0xE6),
kXuanba9cb762021-04-08 14:32:06 +08001071};
1072static const mbedtls_mpi_uint secp384r1_T_15_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001073 MBEDTLS_BYTES_TO_T_UINT_8(0xDB, 0xBD, 0x70, 0x4F, 0xA8, 0xD1, 0x06, 0x2C),
1074 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0x4E, 0x2E, 0x68, 0xFC, 0x35, 0xFA, 0x50),
1075 MBEDTLS_BYTES_TO_T_UINT_8(0x60, 0x53, 0x75, 0xED, 0xF2, 0x5F, 0xC2, 0xEB),
1076 MBEDTLS_BYTES_TO_T_UINT_8(0x39, 0x87, 0x6B, 0x9F, 0x05, 0xE2, 0x22, 0x93),
1077 MBEDTLS_BYTES_TO_T_UINT_8(0x4F, 0x1A, 0xA8, 0xB7, 0x03, 0x9E, 0x6D, 0x7C),
1078 MBEDTLS_BYTES_TO_T_UINT_8(0xCB, 0xD0, 0x69, 0x88, 0xA8, 0x39, 0x9E, 0x3A),
kXuanba9cb762021-04-08 14:32:06 +08001079};
1080static const mbedtls_mpi_uint secp384r1_T_15_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001081 MBEDTLS_BYTES_TO_T_UINT_8(0xF8, 0xEF, 0x68, 0xFE, 0xEC, 0x24, 0x08, 0x15),
1082 MBEDTLS_BYTES_TO_T_UINT_8(0xA1, 0x06, 0x4B, 0x92, 0x0D, 0xB7, 0x34, 0x74),
1083 MBEDTLS_BYTES_TO_T_UINT_8(0x3E, 0xF4, 0xDD, 0x1A, 0xA0, 0x4A, 0xE4, 0x45),
1084 MBEDTLS_BYTES_TO_T_UINT_8(0xC3, 0x63, 0x4F, 0x4F, 0xCE, 0xBB, 0xD6, 0xD3),
1085 MBEDTLS_BYTES_TO_T_UINT_8(0xCD, 0xEE, 0x8D, 0xDF, 0x3F, 0x73, 0xB7, 0xAC),
1086 MBEDTLS_BYTES_TO_T_UINT_8(0xDF, 0x06, 0xB6, 0x80, 0x4D, 0x81, 0xD9, 0x53),
kXuanba9cb762021-04-08 14:32:06 +08001087};
1088static const mbedtls_mpi_uint secp384r1_T_16_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001089 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0xF5, 0x13, 0xDF, 0x13, 0x19, 0x97, 0x94),
1090 MBEDTLS_BYTES_TO_T_UINT_8(0x08, 0xF9, 0xB3, 0x33, 0x66, 0x82, 0x21, 0xFE),
1091 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0xFC, 0x39, 0x16, 0x23, 0x43, 0x76, 0x0E),
1092 MBEDTLS_BYTES_TO_T_UINT_8(0x09, 0x48, 0x25, 0xA1, 0x64, 0x95, 0x1C, 0x2F),
1093 MBEDTLS_BYTES_TO_T_UINT_8(0x43, 0xAC, 0x15, 0x57, 0xD9, 0xDE, 0xA0, 0x28),
1094 MBEDTLS_BYTES_TO_T_UINT_8(0x16, 0x5F, 0xB8, 0x3D, 0x48, 0x91, 0x24, 0xCC),
kXuanba9cb762021-04-08 14:32:06 +08001095};
1096static const mbedtls_mpi_uint secp384r1_T_16_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001097 MBEDTLS_BYTES_TO_T_UINT_8(0x2D, 0xF2, 0xC8, 0x54, 0xD1, 0x32, 0xBD, 0xC4),
1098 MBEDTLS_BYTES_TO_T_UINT_8(0x8A, 0x3B, 0xF0, 0xAA, 0x9D, 0xD8, 0xF4, 0x20),
1099 MBEDTLS_BYTES_TO_T_UINT_8(0x4F, 0xC3, 0xBB, 0x6C, 0x66, 0xAC, 0x25, 0x2D),
1100 MBEDTLS_BYTES_TO_T_UINT_8(0x6F, 0x25, 0x10, 0xB2, 0xE1, 0x41, 0xDE, 0x1D),
1101 MBEDTLS_BYTES_TO_T_UINT_8(0x3C, 0xE8, 0x30, 0xB8, 0x37, 0xBC, 0x2A, 0x98),
1102 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0x57, 0x01, 0x4A, 0x1E, 0x78, 0x9F, 0x85),
kXuanba9cb762021-04-08 14:32:06 +08001103};
1104static const mbedtls_mpi_uint secp384r1_T_17_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001105 MBEDTLS_BYTES_TO_T_UINT_8(0xBD, 0x19, 0xCD, 0x12, 0x0B, 0x51, 0x4F, 0x56),
1106 MBEDTLS_BYTES_TO_T_UINT_8(0x30, 0x4B, 0x3D, 0x24, 0xA4, 0x16, 0x59, 0x05),
1107 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0xEB, 0xD3, 0x59, 0x2E, 0x75, 0x7C, 0x01),
1108 MBEDTLS_BYTES_TO_T_UINT_8(0x8C, 0xB9, 0xB4, 0xA5, 0xD9, 0x2E, 0x29, 0x4C),
1109 MBEDTLS_BYTES_TO_T_UINT_8(0x86, 0x16, 0x05, 0x75, 0x02, 0xB3, 0x06, 0xEE),
1110 MBEDTLS_BYTES_TO_T_UINT_8(0xAB, 0x7C, 0x9F, 0x79, 0x91, 0xF1, 0x4F, 0x23),
kXuanba9cb762021-04-08 14:32:06 +08001111};
1112static const mbedtls_mpi_uint secp384r1_T_17_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001113 MBEDTLS_BYTES_TO_T_UINT_8(0x65, 0x98, 0x7C, 0x84, 0xE1, 0xFF, 0x30, 0x77),
1114 MBEDTLS_BYTES_TO_T_UINT_8(0x71, 0xE2, 0xC2, 0x5F, 0x55, 0x40, 0xBD, 0xCD),
1115 MBEDTLS_BYTES_TO_T_UINT_8(0x69, 0x65, 0x87, 0x3F, 0xC4, 0xC2, 0x24, 0x57),
1116 MBEDTLS_BYTES_TO_T_UINT_8(0x0E, 0x30, 0x0A, 0x60, 0x15, 0xD1, 0x24, 0x48),
1117 MBEDTLS_BYTES_TO_T_UINT_8(0x57, 0x99, 0xD9, 0xB6, 0xAE, 0xB1, 0xAF, 0x1D),
1118 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0x80, 0xEE, 0xA2, 0x0F, 0x74, 0xB9, 0xF3),
kXuanba9cb762021-04-08 14:32:06 +08001119};
1120static const mbedtls_mpi_uint secp384r1_T_18_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001121 MBEDTLS_BYTES_TO_T_UINT_8(0x03, 0xE6, 0x0F, 0x37, 0xC1, 0x10, 0x99, 0x1E),
1122 MBEDTLS_BYTES_TO_T_UINT_8(0x61, 0xAD, 0x9D, 0x5D, 0x80, 0x01, 0xA6, 0xFE),
1123 MBEDTLS_BYTES_TO_T_UINT_8(0xB0, 0x0F, 0x10, 0x2A, 0x9D, 0x20, 0x38, 0xEB),
1124 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x60, 0xCB, 0xCE, 0x5A, 0xA0, 0xA7, 0x32),
1125 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0xCF, 0x14, 0xDF, 0xBF, 0xE5, 0x74, 0x2D),
1126 MBEDTLS_BYTES_TO_T_UINT_8(0xB5, 0x12, 0x1A, 0xDD, 0x59, 0x02, 0x5D, 0xC6),
kXuanba9cb762021-04-08 14:32:06 +08001127};
1128static const mbedtls_mpi_uint secp384r1_T_18_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001129 MBEDTLS_BYTES_TO_T_UINT_8(0xC8, 0xC9, 0xF8, 0xF5, 0xB6, 0x13, 0x4D, 0x7B),
1130 MBEDTLS_BYTES_TO_T_UINT_8(0xED, 0x45, 0xB1, 0x93, 0xB3, 0xA2, 0x79, 0xDC),
1131 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0xF6, 0xCF, 0xF7, 0xE6, 0x29, 0x9C, 0xCC),
1132 MBEDTLS_BYTES_TO_T_UINT_8(0x87, 0x50, 0x65, 0x80, 0xBC, 0x59, 0x0A, 0x59),
1133 MBEDTLS_BYTES_TO_T_UINT_8(0x0E, 0xF0, 0x24, 0x35, 0xA2, 0x46, 0xF0, 0x0C),
1134 MBEDTLS_BYTES_TO_T_UINT_8(0xBD, 0x26, 0xC0, 0x9D, 0x61, 0x56, 0x62, 0x67),
kXuanba9cb762021-04-08 14:32:06 +08001135};
1136static const mbedtls_mpi_uint secp384r1_T_19_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001137 MBEDTLS_BYTES_TO_T_UINT_8(0x10, 0xBB, 0xC2, 0x24, 0x43, 0x2E, 0x37, 0x54),
1138 MBEDTLS_BYTES_TO_T_UINT_8(0x8A, 0xF7, 0xCE, 0x35, 0xFC, 0x77, 0xF3, 0x3F),
1139 MBEDTLS_BYTES_TO_T_UINT_8(0x75, 0x34, 0x96, 0xD5, 0x4A, 0x76, 0x9D, 0x6B),
1140 MBEDTLS_BYTES_TO_T_UINT_8(0xB8, 0x3B, 0x0F, 0xEA, 0xA8, 0x12, 0x0B, 0x22),
1141 MBEDTLS_BYTES_TO_T_UINT_8(0x66, 0x3F, 0x5D, 0x2D, 0x1C, 0xD4, 0x9E, 0xFB),
1142 MBEDTLS_BYTES_TO_T_UINT_8(0x7D, 0x2E, 0xDD, 0xC7, 0x6E, 0xAB, 0xAF, 0xDC),
kXuanba9cb762021-04-08 14:32:06 +08001143};
1144static const mbedtls_mpi_uint secp384r1_T_19_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001145 MBEDTLS_BYTES_TO_T_UINT_8(0x8C, 0xB2, 0x7B, 0x0C, 0x9A, 0x83, 0x8E, 0x59),
1146 MBEDTLS_BYTES_TO_T_UINT_8(0x30, 0x51, 0x90, 0x92, 0x79, 0x32, 0x19, 0xC3),
1147 MBEDTLS_BYTES_TO_T_UINT_8(0xEE, 0x89, 0xF9, 0xD0, 0xCF, 0x2C, 0xA5, 0x8F),
1148 MBEDTLS_BYTES_TO_T_UINT_8(0x7B, 0x50, 0x21, 0xDE, 0x50, 0x41, 0x9D, 0x81),
1149 MBEDTLS_BYTES_TO_T_UINT_8(0xE0, 0x7D, 0x2B, 0x9E, 0x9D, 0x95, 0xA8, 0xE3),
1150 MBEDTLS_BYTES_TO_T_UINT_8(0xD8, 0xA5, 0x20, 0x87, 0x88, 0x97, 0x5F, 0xAA),
kXuanba9cb762021-04-08 14:32:06 +08001151};
1152static const mbedtls_mpi_uint secp384r1_T_20_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001153 MBEDTLS_BYTES_TO_T_UINT_8(0x64, 0x59, 0xB4, 0x66, 0x7E, 0xE8, 0x5A, 0x60),
1154 MBEDTLS_BYTES_TO_T_UINT_8(0xA5, 0x5C, 0x7E, 0xB2, 0xAD, 0xD9, 0xC9, 0xDA),
1155 MBEDTLS_BYTES_TO_T_UINT_8(0x82, 0x97, 0x49, 0xA3, 0x13, 0x83, 0x07, 0x2E),
1156 MBEDTLS_BYTES_TO_T_UINT_8(0x5A, 0x26, 0xC7, 0x13, 0x35, 0x0D, 0xB0, 0x6B),
1157 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0x60, 0xAB, 0xFA, 0x4B, 0x93, 0x18, 0x2C),
1158 MBEDTLS_BYTES_TO_T_UINT_8(0x54, 0x2D, 0x1C, 0x31, 0x4C, 0xE4, 0x61, 0xAE),
kXuanba9cb762021-04-08 14:32:06 +08001159};
1160static const mbedtls_mpi_uint secp384r1_T_20_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001161 MBEDTLS_BYTES_TO_T_UINT_8(0xDE, 0x4D, 0x1E, 0x51, 0x59, 0x6E, 0x91, 0xC5),
1162 MBEDTLS_BYTES_TO_T_UINT_8(0x38, 0x54, 0x4D, 0x51, 0xED, 0x36, 0xCC, 0x60),
1163 MBEDTLS_BYTES_TO_T_UINT_8(0x18, 0xA8, 0x56, 0xC7, 0x78, 0x27, 0x33, 0xC5),
1164 MBEDTLS_BYTES_TO_T_UINT_8(0x42, 0xB7, 0x95, 0xC9, 0x8B, 0xC8, 0x6A, 0xBC),
1165 MBEDTLS_BYTES_TO_T_UINT_8(0x5E, 0xE9, 0x13, 0x96, 0xB3, 0xE1, 0xF9, 0xEE),
1166 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0x46, 0xB0, 0x5E, 0xC3, 0x94, 0x03, 0x05),
kXuanba9cb762021-04-08 14:32:06 +08001167};
1168static const mbedtls_mpi_uint secp384r1_T_21_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001169 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0x5B, 0x29, 0x30, 0x41, 0x1A, 0x9E, 0xB6),
1170 MBEDTLS_BYTES_TO_T_UINT_8(0x76, 0xCA, 0x83, 0x31, 0x5B, 0xA7, 0xCB, 0x42),
1171 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0x41, 0x50, 0x44, 0x4D, 0x64, 0x31, 0x89),
1172 MBEDTLS_BYTES_TO_T_UINT_8(0xCF, 0x84, 0xC2, 0x5D, 0x97, 0xA5, 0x3C, 0x18),
1173 MBEDTLS_BYTES_TO_T_UINT_8(0xF0, 0x0F, 0xA5, 0xFD, 0x8E, 0x5A, 0x47, 0x2C),
1174 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0x58, 0x02, 0x2D, 0x40, 0xB1, 0x0B, 0xBA),
kXuanba9cb762021-04-08 14:32:06 +08001175};
1176static const mbedtls_mpi_uint secp384r1_T_21_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001177 MBEDTLS_BYTES_TO_T_UINT_8(0xDA, 0x33, 0x8C, 0x67, 0xCE, 0x23, 0x43, 0x99),
1178 MBEDTLS_BYTES_TO_T_UINT_8(0x84, 0x53, 0x47, 0x72, 0x44, 0x1F, 0x5B, 0x2A),
1179 MBEDTLS_BYTES_TO_T_UINT_8(0xAE, 0xC1, 0xD9, 0xA4, 0x50, 0x88, 0x63, 0x18),
1180 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0xF2, 0x75, 0x69, 0x73, 0x00, 0xC4, 0x31),
1181 MBEDTLS_BYTES_TO_T_UINT_8(0x4B, 0x90, 0x1D, 0xDF, 0x1A, 0x00, 0xD8, 0x69),
1182 MBEDTLS_BYTES_TO_T_UINT_8(0x05, 0xB1, 0x89, 0x48, 0xA8, 0x70, 0x62, 0xEF),
kXuanba9cb762021-04-08 14:32:06 +08001183};
1184static const mbedtls_mpi_uint secp384r1_T_22_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001185 MBEDTLS_BYTES_TO_T_UINT_8(0x7E, 0x8A, 0x55, 0x50, 0x7B, 0xEF, 0x8A, 0x3C),
1186 MBEDTLS_BYTES_TO_T_UINT_8(0xFE, 0x1B, 0x23, 0x48, 0x23, 0x63, 0x91, 0xB6),
1187 MBEDTLS_BYTES_TO_T_UINT_8(0x0D, 0x04, 0x54, 0x3C, 0x24, 0x9B, 0xC7, 0x9A),
1188 MBEDTLS_BYTES_TO_T_UINT_8(0x25, 0x38, 0xC3, 0x84, 0xFB, 0xFF, 0x9F, 0x49),
1189 MBEDTLS_BYTES_TO_T_UINT_8(0x66, 0x2A, 0xE0, 0x6D, 0x68, 0x8A, 0x5C, 0xCB),
1190 MBEDTLS_BYTES_TO_T_UINT_8(0xC4, 0x93, 0x53, 0x85, 0xA1, 0x0D, 0xAF, 0x63),
kXuanba9cb762021-04-08 14:32:06 +08001191};
1192static const mbedtls_mpi_uint secp384r1_T_22_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001193 MBEDTLS_BYTES_TO_T_UINT_8(0x1B, 0x88, 0x95, 0x4C, 0x0B, 0xD0, 0x06, 0x51),
1194 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0xAF, 0x8D, 0x49, 0xA2, 0xC8, 0xB4, 0xE0),
1195 MBEDTLS_BYTES_TO_T_UINT_8(0x75, 0x76, 0x53, 0x09, 0x88, 0x43, 0x87, 0xCA),
1196 MBEDTLS_BYTES_TO_T_UINT_8(0x90, 0xA4, 0x77, 0x3F, 0x5E, 0x21, 0xB4, 0x0A),
1197 MBEDTLS_BYTES_TO_T_UINT_8(0x35, 0x9E, 0x86, 0x64, 0xCC, 0x91, 0xC1, 0x77),
1198 MBEDTLS_BYTES_TO_T_UINT_8(0xC1, 0x17, 0x56, 0xCB, 0xC3, 0x7D, 0x5B, 0xB1),
kXuanba9cb762021-04-08 14:32:06 +08001199};
1200static const mbedtls_mpi_uint secp384r1_T_23_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001201 MBEDTLS_BYTES_TO_T_UINT_8(0x64, 0x74, 0x9F, 0xB5, 0x91, 0x21, 0xB1, 0x1C),
1202 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0xED, 0xE1, 0x11, 0xEF, 0x45, 0xAF, 0xC1),
1203 MBEDTLS_BYTES_TO_T_UINT_8(0xE0, 0x31, 0xBE, 0xB2, 0xBC, 0x72, 0x65, 0x1F),
1204 MBEDTLS_BYTES_TO_T_UINT_8(0xB1, 0x4B, 0x8C, 0x77, 0xCE, 0x1E, 0x42, 0xB5),
1205 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xC9, 0xAA, 0xB9, 0xD9, 0x86, 0x99, 0x55),
1206 MBEDTLS_BYTES_TO_T_UINT_8(0x65, 0x23, 0x80, 0xC6, 0x4E, 0x35, 0x0B, 0x6D),
kXuanba9cb762021-04-08 14:32:06 +08001207};
1208static const mbedtls_mpi_uint secp384r1_T_23_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001209 MBEDTLS_BYTES_TO_T_UINT_8(0x47, 0xD8, 0xA2, 0x0A, 0x39, 0x32, 0x1D, 0x23),
1210 MBEDTLS_BYTES_TO_T_UINT_8(0x61, 0xC8, 0x86, 0xF1, 0x12, 0x9A, 0x4A, 0x05),
1211 MBEDTLS_BYTES_TO_T_UINT_8(0x8D, 0xF1, 0x7C, 0xAA, 0x70, 0x8E, 0xBC, 0x01),
1212 MBEDTLS_BYTES_TO_T_UINT_8(0x62, 0x01, 0x47, 0x8F, 0xDD, 0x8B, 0xA5, 0xC8),
1213 MBEDTLS_BYTES_TO_T_UINT_8(0xDB, 0x08, 0x21, 0xF4, 0xAB, 0xC7, 0xF5, 0x96),
1214 MBEDTLS_BYTES_TO_T_UINT_8(0x0A, 0x76, 0xA5, 0x95, 0xC4, 0x0F, 0x88, 0x1D),
kXuanba9cb762021-04-08 14:32:06 +08001215};
1216static const mbedtls_mpi_uint secp384r1_T_24_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001217 MBEDTLS_BYTES_TO_T_UINT_8(0x3F, 0x42, 0x2A, 0x52, 0xCD, 0x75, 0x51, 0x49),
1218 MBEDTLS_BYTES_TO_T_UINT_8(0x90, 0x36, 0xE5, 0x04, 0x2B, 0x44, 0xC6, 0xEF),
1219 MBEDTLS_BYTES_TO_T_UINT_8(0x5C, 0xEE, 0x16, 0x13, 0x07, 0x83, 0xB5, 0x30),
1220 MBEDTLS_BYTES_TO_T_UINT_8(0x76, 0x59, 0xC6, 0xA2, 0x19, 0x05, 0xD3, 0xC6),
1221 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x8B, 0xA8, 0x16, 0x09, 0xB7, 0xEA, 0xD6),
1222 MBEDTLS_BYTES_TO_T_UINT_8(0x70, 0xEE, 0x14, 0xAF, 0xB5, 0xFD, 0xD0, 0xEF),
kXuanba9cb762021-04-08 14:32:06 +08001223};
1224static const mbedtls_mpi_uint secp384r1_T_24_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001225 MBEDTLS_BYTES_TO_T_UINT_8(0x18, 0x7C, 0xCA, 0x71, 0x3E, 0x6E, 0x66, 0x75),
1226 MBEDTLS_BYTES_TO_T_UINT_8(0xBE, 0x31, 0x0E, 0x3F, 0xE5, 0x91, 0xC4, 0x7F),
1227 MBEDTLS_BYTES_TO_T_UINT_8(0x8E, 0x3D, 0xC2, 0x3E, 0x95, 0x37, 0x58, 0x2B),
1228 MBEDTLS_BYTES_TO_T_UINT_8(0x01, 0x1F, 0x02, 0x03, 0xF3, 0xEF, 0xEE, 0x66),
1229 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0x5B, 0x1A, 0xFC, 0x38, 0xCD, 0xE8, 0x24),
1230 MBEDTLS_BYTES_TO_T_UINT_8(0x12, 0x57, 0x42, 0x85, 0xC6, 0x21, 0x68, 0x71),
kXuanba9cb762021-04-08 14:32:06 +08001231};
1232static const mbedtls_mpi_uint secp384r1_T_25_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001233 MBEDTLS_BYTES_TO_T_UINT_8(0x8D, 0xA2, 0x4A, 0x66, 0xB1, 0x0A, 0xE6, 0xC0),
1234 MBEDTLS_BYTES_TO_T_UINT_8(0x86, 0x0C, 0x94, 0x9D, 0x5E, 0x99, 0xB2, 0xCE),
1235 MBEDTLS_BYTES_TO_T_UINT_8(0xAD, 0x03, 0x40, 0xCA, 0xB2, 0xB3, 0x30, 0x55),
1236 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0x78, 0x48, 0x27, 0x34, 0x1E, 0xE2, 0x42),
1237 MBEDTLS_BYTES_TO_T_UINT_8(0xAE, 0x72, 0x5B, 0xAC, 0xC1, 0x6D, 0xE3, 0x82),
1238 MBEDTLS_BYTES_TO_T_UINT_8(0x57, 0xAB, 0x46, 0xCB, 0xEA, 0x5E, 0x4B, 0x0B),
kXuanba9cb762021-04-08 14:32:06 +08001239};
1240static const mbedtls_mpi_uint secp384r1_T_25_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001241 MBEDTLS_BYTES_TO_T_UINT_8(0xFC, 0x08, 0xAD, 0x4E, 0x51, 0x9F, 0x2A, 0x52),
1242 MBEDTLS_BYTES_TO_T_UINT_8(0x68, 0x5C, 0x7D, 0x4C, 0xD6, 0xCF, 0xDD, 0x02),
1243 MBEDTLS_BYTES_TO_T_UINT_8(0xD8, 0x76, 0x26, 0xE0, 0x8B, 0x10, 0xD9, 0x7C),
1244 MBEDTLS_BYTES_TO_T_UINT_8(0x30, 0xA7, 0x23, 0x4E, 0x5F, 0xD2, 0x42, 0x17),
1245 MBEDTLS_BYTES_TO_T_UINT_8(0xD1, 0xE5, 0xA4, 0xEC, 0x77, 0x21, 0x34, 0x28),
1246 MBEDTLS_BYTES_TO_T_UINT_8(0x5C, 0x14, 0x65, 0xEA, 0x4A, 0x85, 0xC3, 0x2F),
kXuanba9cb762021-04-08 14:32:06 +08001247};
1248static const mbedtls_mpi_uint secp384r1_T_26_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001249 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0xD8, 0x40, 0x27, 0x73, 0x15, 0x7E, 0x65),
1250 MBEDTLS_BYTES_TO_T_UINT_8(0xF6, 0xBB, 0x53, 0x7E, 0x0F, 0x40, 0xC8, 0xD4),
1251 MBEDTLS_BYTES_TO_T_UINT_8(0xEA, 0x37, 0x19, 0x73, 0xEF, 0x5A, 0x5E, 0x04),
1252 MBEDTLS_BYTES_TO_T_UINT_8(0x9C, 0x73, 0x2B, 0x49, 0x7E, 0xAC, 0x97, 0x5C),
1253 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0xB2, 0xC3, 0x1E, 0x0E, 0xE7, 0xD2, 0x21),
1254 MBEDTLS_BYTES_TO_T_UINT_8(0x8A, 0x08, 0xD6, 0xDD, 0xAC, 0x21, 0xD6, 0x3E),
kXuanba9cb762021-04-08 14:32:06 +08001255};
1256static const mbedtls_mpi_uint secp384r1_T_26_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001257 MBEDTLS_BYTES_TO_T_UINT_8(0xA9, 0x26, 0xBE, 0x6D, 0x6D, 0xF2, 0x38, 0x3F),
1258 MBEDTLS_BYTES_TO_T_UINT_8(0x08, 0x6C, 0x31, 0xA7, 0x49, 0x50, 0x3A, 0x89),
1259 MBEDTLS_BYTES_TO_T_UINT_8(0xC3, 0x99, 0xC6, 0xF5, 0xD2, 0xC2, 0x30, 0x5A),
1260 MBEDTLS_BYTES_TO_T_UINT_8(0x2A, 0xE4, 0xF6, 0x8B, 0x8B, 0x97, 0xE9, 0xB2),
1261 MBEDTLS_BYTES_TO_T_UINT_8(0xDD, 0x21, 0xB7, 0x0D, 0xFC, 0x15, 0x54, 0x0B),
1262 MBEDTLS_BYTES_TO_T_UINT_8(0x65, 0x83, 0x1C, 0xA4, 0xCD, 0x6B, 0x9D, 0xF2),
kXuanba9cb762021-04-08 14:32:06 +08001263};
1264static const mbedtls_mpi_uint secp384r1_T_27_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001265 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0xE8, 0x4C, 0x48, 0xE4, 0xAA, 0x69, 0x93),
1266 MBEDTLS_BYTES_TO_T_UINT_8(0x27, 0x7A, 0x27, 0xFC, 0x37, 0x96, 0x1A, 0x7B),
1267 MBEDTLS_BYTES_TO_T_UINT_8(0x6F, 0xE7, 0x30, 0xA5, 0xCF, 0x13, 0x46, 0x5C),
1268 MBEDTLS_BYTES_TO_T_UINT_8(0x8C, 0xD8, 0xAF, 0x74, 0x23, 0x4D, 0x56, 0x84),
1269 MBEDTLS_BYTES_TO_T_UINT_8(0x32, 0x3D, 0x44, 0x14, 0x1B, 0x97, 0x83, 0xF0),
1270 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0x47, 0xD7, 0x5F, 0xFD, 0x98, 0x38, 0xF7),
kXuanba9cb762021-04-08 14:32:06 +08001271};
1272static const mbedtls_mpi_uint secp384r1_T_27_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001273 MBEDTLS_BYTES_TO_T_UINT_8(0xA3, 0x73, 0x64, 0x36, 0xFD, 0x7B, 0xC1, 0x15),
1274 MBEDTLS_BYTES_TO_T_UINT_8(0xEA, 0x5D, 0x32, 0xD2, 0x47, 0x94, 0x89, 0x2D),
1275 MBEDTLS_BYTES_TO_T_UINT_8(0x51, 0xE9, 0x30, 0xAC, 0x06, 0xC8, 0x65, 0x04),
1276 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0x6C, 0xB9, 0x1B, 0xF7, 0x61, 0x49, 0x53),
1277 MBEDTLS_BYTES_TO_T_UINT_8(0xD7, 0xFF, 0x32, 0x43, 0x80, 0xDA, 0xA6, 0xB1),
1278 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0xF8, 0x04, 0x01, 0x95, 0x35, 0xCE, 0x21),
kXuanba9cb762021-04-08 14:32:06 +08001279};
1280static const mbedtls_mpi_uint secp384r1_T_28_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001281 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0x06, 0x46, 0x0D, 0x51, 0xE2, 0xD8, 0xAC),
1282 MBEDTLS_BYTES_TO_T_UINT_8(0x14, 0x57, 0x1D, 0x6F, 0x79, 0xA0, 0xCD, 0xA6),
1283 MBEDTLS_BYTES_TO_T_UINT_8(0xDF, 0xFB, 0x36, 0xCA, 0xAD, 0xF5, 0x9E, 0x41),
1284 MBEDTLS_BYTES_TO_T_UINT_8(0x6F, 0x7A, 0x1D, 0x9E, 0x1D, 0x95, 0x48, 0xDC),
1285 MBEDTLS_BYTES_TO_T_UINT_8(0x81, 0x26, 0xA5, 0xB7, 0x15, 0x2C, 0xC2, 0xC6),
1286 MBEDTLS_BYTES_TO_T_UINT_8(0x86, 0x42, 0x72, 0xAA, 0x11, 0xDC, 0xC9, 0xB6),
kXuanba9cb762021-04-08 14:32:06 +08001287};
1288static const mbedtls_mpi_uint secp384r1_T_28_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001289 MBEDTLS_BYTES_TO_T_UINT_8(0x3F, 0x6C, 0x64, 0xA7, 0x62, 0x3C, 0xAB, 0xD4),
1290 MBEDTLS_BYTES_TO_T_UINT_8(0x48, 0x6A, 0x44, 0xD8, 0x60, 0xC0, 0xA8, 0x80),
1291 MBEDTLS_BYTES_TO_T_UINT_8(0x82, 0x76, 0x58, 0x12, 0x57, 0x3C, 0x89, 0x46),
1292 MBEDTLS_BYTES_TO_T_UINT_8(0x82, 0x4F, 0x83, 0xCE, 0xCB, 0xB8, 0xD0, 0x2C),
1293 MBEDTLS_BYTES_TO_T_UINT_8(0x9A, 0x84, 0x04, 0xB0, 0xAD, 0xEB, 0xFA, 0xDF),
1294 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0xA4, 0xC3, 0x41, 0x44, 0x4E, 0x65, 0x3E),
kXuanba9cb762021-04-08 14:32:06 +08001295};
1296static const mbedtls_mpi_uint secp384r1_T_29_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001297 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x16, 0xA9, 0x1C, 0xE7, 0x65, 0x20, 0xC1),
1298 MBEDTLS_BYTES_TO_T_UINT_8(0x58, 0x53, 0x32, 0xF8, 0xC0, 0xA6, 0xBD, 0x2C),
1299 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0xF0, 0xE6, 0x57, 0x31, 0xCC, 0x26, 0x6F),
1300 MBEDTLS_BYTES_TO_T_UINT_8(0x27, 0xE3, 0x54, 0x1C, 0x34, 0xD3, 0x17, 0xBC),
1301 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0xAE, 0xED, 0xFB, 0xCD, 0xE7, 0x1E, 0x9F),
1302 MBEDTLS_BYTES_TO_T_UINT_8(0x5A, 0x16, 0x1C, 0x34, 0x40, 0x00, 0x1F, 0xB6),
kXuanba9cb762021-04-08 14:32:06 +08001303};
1304static const mbedtls_mpi_uint secp384r1_T_29_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001305 MBEDTLS_BYTES_TO_T_UINT_8(0x6A, 0x32, 0x00, 0xC2, 0xD4, 0x3B, 0x1A, 0x09),
1306 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0xE0, 0x99, 0x8F, 0x0C, 0x4A, 0x16, 0x44),
1307 MBEDTLS_BYTES_TO_T_UINT_8(0x83, 0x73, 0x18, 0x1B, 0xD4, 0x94, 0x29, 0x62),
1308 MBEDTLS_BYTES_TO_T_UINT_8(0x29, 0xA4, 0x2D, 0xB1, 0x9D, 0x74, 0x32, 0x67),
1309 MBEDTLS_BYTES_TO_T_UINT_8(0xBF, 0xF4, 0xB1, 0x0C, 0x37, 0x62, 0x8B, 0x66),
1310 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0xFF, 0xDA, 0xE2, 0x35, 0xA3, 0xB6, 0x42),
kXuanba9cb762021-04-08 14:32:06 +08001311};
1312static const mbedtls_mpi_uint secp384r1_T_30_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001313 MBEDTLS_BYTES_TO_T_UINT_8(0x91, 0x49, 0x99, 0x65, 0xC5, 0xED, 0x16, 0xEF),
1314 MBEDTLS_BYTES_TO_T_UINT_8(0x79, 0x42, 0x9A, 0xF3, 0xA7, 0x4E, 0x6F, 0x2B),
1315 MBEDTLS_BYTES_TO_T_UINT_8(0x7B, 0x0A, 0x7E, 0xC0, 0xD7, 0x4E, 0x07, 0x55),
1316 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0x7A, 0x31, 0x69, 0xA6, 0xB9, 0x15, 0x34),
1317 MBEDTLS_BYTES_TO_T_UINT_8(0xA8, 0xE0, 0x72, 0xA4, 0x3F, 0xB9, 0xF8, 0x0C),
1318 MBEDTLS_BYTES_TO_T_UINT_8(0x2B, 0x75, 0x32, 0x85, 0xA2, 0xDE, 0x37, 0x12),
kXuanba9cb762021-04-08 14:32:06 +08001319};
1320static const mbedtls_mpi_uint secp384r1_T_30_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001321 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0xC0, 0x0D, 0xCF, 0x25, 0x41, 0xA4, 0xF4),
1322 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0xFC, 0xB2, 0x48, 0xC3, 0x85, 0x83, 0x4B),
1323 MBEDTLS_BYTES_TO_T_UINT_8(0x2B, 0xBE, 0x0B, 0x58, 0x2D, 0x7A, 0x9A, 0x62),
1324 MBEDTLS_BYTES_TO_T_UINT_8(0xC5, 0xF3, 0x81, 0x18, 0x1B, 0x74, 0x4F, 0x2C),
1325 MBEDTLS_BYTES_TO_T_UINT_8(0xE2, 0x43, 0xA3, 0x0A, 0x16, 0x8B, 0xA3, 0x1E),
1326 MBEDTLS_BYTES_TO_T_UINT_8(0x4A, 0x18, 0x81, 0x7B, 0x8D, 0xA2, 0x35, 0x77),
kXuanba9cb762021-04-08 14:32:06 +08001327};
1328static const mbedtls_mpi_uint secp384r1_T_31_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001329 MBEDTLS_BYTES_TO_T_UINT_8(0x86, 0xC4, 0x3F, 0x2C, 0xE7, 0x5F, 0x99, 0x03),
1330 MBEDTLS_BYTES_TO_T_UINT_8(0xF0, 0x2B, 0xB7, 0xB6, 0xAD, 0x5A, 0x56, 0xFF),
1331 MBEDTLS_BYTES_TO_T_UINT_8(0x04, 0x00, 0xA4, 0x48, 0xC8, 0xE8, 0xBA, 0xBF),
1332 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0xA1, 0xB5, 0x13, 0x5A, 0xCD, 0x99, 0x9C),
1333 MBEDTLS_BYTES_TO_T_UINT_8(0xB0, 0x95, 0xAD, 0xFC, 0xE2, 0x7E, 0xE7, 0xFE),
1334 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0x6B, 0xD1, 0x34, 0x99, 0x53, 0x63, 0x0B),
kXuanba9cb762021-04-08 14:32:06 +08001335};
1336static const mbedtls_mpi_uint secp384r1_T_31_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001337 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0x8A, 0x77, 0x5D, 0x2B, 0xAB, 0x01, 0x28),
1338 MBEDTLS_BYTES_TO_T_UINT_8(0x4E, 0x85, 0xD0, 0xD5, 0x49, 0x83, 0x4D, 0x60),
1339 MBEDTLS_BYTES_TO_T_UINT_8(0x81, 0xC6, 0x91, 0x30, 0x3B, 0x00, 0xAF, 0x7A),
1340 MBEDTLS_BYTES_TO_T_UINT_8(0x3A, 0xAE, 0x61, 0x07, 0xE1, 0xB6, 0xE2, 0xC9),
1341 MBEDTLS_BYTES_TO_T_UINT_8(0x95, 0x43, 0x41, 0xFE, 0x9B, 0xB6, 0xF0, 0xA5),
1342 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0x97, 0xAE, 0xAD, 0x89, 0x88, 0x9E, 0x41),
kXuanba9cb762021-04-08 14:32:06 +08001343};
1344static const mbedtls_ecp_point secp384r1_T[32] = {
1345 ECP_POINT_INIT_XY_Z1(secp384r1_T_0_X, secp384r1_T_0_Y),
1346 ECP_POINT_INIT_XY_Z0(secp384r1_T_1_X, secp384r1_T_1_Y),
1347 ECP_POINT_INIT_XY_Z0(secp384r1_T_2_X, secp384r1_T_2_Y),
1348 ECP_POINT_INIT_XY_Z0(secp384r1_T_3_X, secp384r1_T_3_Y),
1349 ECP_POINT_INIT_XY_Z0(secp384r1_T_4_X, secp384r1_T_4_Y),
1350 ECP_POINT_INIT_XY_Z0(secp384r1_T_5_X, secp384r1_T_5_Y),
1351 ECP_POINT_INIT_XY_Z0(secp384r1_T_6_X, secp384r1_T_6_Y),
1352 ECP_POINT_INIT_XY_Z0(secp384r1_T_7_X, secp384r1_T_7_Y),
1353 ECP_POINT_INIT_XY_Z0(secp384r1_T_8_X, secp384r1_T_8_Y),
1354 ECP_POINT_INIT_XY_Z0(secp384r1_T_9_X, secp384r1_T_9_Y),
1355 ECP_POINT_INIT_XY_Z0(secp384r1_T_10_X, secp384r1_T_10_Y),
1356 ECP_POINT_INIT_XY_Z0(secp384r1_T_11_X, secp384r1_T_11_Y),
1357 ECP_POINT_INIT_XY_Z0(secp384r1_T_12_X, secp384r1_T_12_Y),
1358 ECP_POINT_INIT_XY_Z0(secp384r1_T_13_X, secp384r1_T_13_Y),
1359 ECP_POINT_INIT_XY_Z0(secp384r1_T_14_X, secp384r1_T_14_Y),
1360 ECP_POINT_INIT_XY_Z0(secp384r1_T_15_X, secp384r1_T_15_Y),
1361 ECP_POINT_INIT_XY_Z0(secp384r1_T_16_X, secp384r1_T_16_Y),
1362 ECP_POINT_INIT_XY_Z0(secp384r1_T_17_X, secp384r1_T_17_Y),
1363 ECP_POINT_INIT_XY_Z0(secp384r1_T_18_X, secp384r1_T_18_Y),
1364 ECP_POINT_INIT_XY_Z0(secp384r1_T_19_X, secp384r1_T_19_Y),
1365 ECP_POINT_INIT_XY_Z0(secp384r1_T_20_X, secp384r1_T_20_Y),
1366 ECP_POINT_INIT_XY_Z0(secp384r1_T_21_X, secp384r1_T_21_Y),
1367 ECP_POINT_INIT_XY_Z0(secp384r1_T_22_X, secp384r1_T_22_Y),
1368 ECP_POINT_INIT_XY_Z0(secp384r1_T_23_X, secp384r1_T_23_Y),
1369 ECP_POINT_INIT_XY_Z0(secp384r1_T_24_X, secp384r1_T_24_Y),
1370 ECP_POINT_INIT_XY_Z0(secp384r1_T_25_X, secp384r1_T_25_Y),
1371 ECP_POINT_INIT_XY_Z0(secp384r1_T_26_X, secp384r1_T_26_Y),
1372 ECP_POINT_INIT_XY_Z0(secp384r1_T_27_X, secp384r1_T_27_Y),
1373 ECP_POINT_INIT_XY_Z0(secp384r1_T_28_X, secp384r1_T_28_Y),
1374 ECP_POINT_INIT_XY_Z0(secp384r1_T_29_X, secp384r1_T_29_Y),
1375 ECP_POINT_INIT_XY_Z0(secp384r1_T_30_X, secp384r1_T_30_Y),
1376 ECP_POINT_INIT_XY_Z0(secp384r1_T_31_X, secp384r1_T_31_Y),
1377};
1378#else
1379#define secp384r1_T NULL
1380#endif
1381
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001382#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01001383
1384/*
1385 * Domain parameters for secp521r1
1386 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001387#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
1388static const mbedtls_mpi_uint secp521r1_p[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001389 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
1390 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
1391 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
1392 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
1393 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
1394 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
1395 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
1396 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
1397 MBEDTLS_BYTES_TO_T_UINT_2(0xFF, 0x01),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01001398};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001399static const mbedtls_mpi_uint secp521r1_b[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001400 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x3F, 0x50, 0x6B, 0xD4, 0x1F, 0x45, 0xEF),
1401 MBEDTLS_BYTES_TO_T_UINT_8(0xF1, 0x34, 0x2C, 0x3D, 0x88, 0xDF, 0x73, 0x35),
1402 MBEDTLS_BYTES_TO_T_UINT_8(0x07, 0xBF, 0xB1, 0x3B, 0xBD, 0xC0, 0x52, 0x16),
1403 MBEDTLS_BYTES_TO_T_UINT_8(0x7B, 0x93, 0x7E, 0xEC, 0x51, 0x39, 0x19, 0x56),
1404 MBEDTLS_BYTES_TO_T_UINT_8(0xE1, 0x09, 0xF1, 0x8E, 0x91, 0x89, 0xB4, 0xB8),
1405 MBEDTLS_BYTES_TO_T_UINT_8(0xF3, 0x15, 0xB3, 0x99, 0x5B, 0x72, 0xDA, 0xA2),
1406 MBEDTLS_BYTES_TO_T_UINT_8(0xEE, 0x40, 0x85, 0xB6, 0xA0, 0x21, 0x9A, 0x92),
1407 MBEDTLS_BYTES_TO_T_UINT_8(0x1F, 0x9A, 0x1C, 0x8E, 0x61, 0xB9, 0x3E, 0x95),
1408 MBEDTLS_BYTES_TO_T_UINT_2(0x51, 0x00),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01001409};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001410static const mbedtls_mpi_uint secp521r1_gx[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001411 MBEDTLS_BYTES_TO_T_UINT_8(0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9),
1412 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33),
1413 MBEDTLS_BYTES_TO_T_UINT_8(0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE),
1414 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1),
1415 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8),
1416 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C),
1417 MBEDTLS_BYTES_TO_T_UINT_8(0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E),
1418 MBEDTLS_BYTES_TO_T_UINT_8(0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85),
1419 MBEDTLS_BYTES_TO_T_UINT_2(0xC6, 0x00),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01001420};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001421static const mbedtls_mpi_uint secp521r1_gy[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001422 MBEDTLS_BYTES_TO_T_UINT_8(0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88),
1423 MBEDTLS_BYTES_TO_T_UINT_8(0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35),
1424 MBEDTLS_BYTES_TO_T_UINT_8(0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5),
1425 MBEDTLS_BYTES_TO_T_UINT_8(0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97),
1426 MBEDTLS_BYTES_TO_T_UINT_8(0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17),
1427 MBEDTLS_BYTES_TO_T_UINT_8(0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98),
1428 MBEDTLS_BYTES_TO_T_UINT_8(0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C),
1429 MBEDTLS_BYTES_TO_T_UINT_8(0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39),
1430 MBEDTLS_BYTES_TO_T_UINT_2(0x18, 0x01),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01001431};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001432static const mbedtls_mpi_uint secp521r1_n[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001433 MBEDTLS_BYTES_TO_T_UINT_8(0x09, 0x64, 0x38, 0x91, 0x1E, 0xB7, 0x6F, 0xBB),
1434 MBEDTLS_BYTES_TO_T_UINT_8(0xAE, 0x47, 0x9C, 0x89, 0xB8, 0xC9, 0xB5, 0x3B),
1435 MBEDTLS_BYTES_TO_T_UINT_8(0xD0, 0xA5, 0x09, 0xF7, 0x48, 0x01, 0xCC, 0x7F),
1436 MBEDTLS_BYTES_TO_T_UINT_8(0x6B, 0x96, 0x2F, 0xBF, 0x83, 0x87, 0x86, 0x51),
1437 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
1438 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
1439 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
1440 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
1441 MBEDTLS_BYTES_TO_T_UINT_2(0xFF, 0x01),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01001442};
kXuanba9cb762021-04-08 14:32:06 +08001443#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
1444static const mbedtls_mpi_uint secp521r1_T_0_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001445 MBEDTLS_BYTES_TO_T_UINT_8(0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9),
1446 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33),
1447 MBEDTLS_BYTES_TO_T_UINT_8(0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE),
1448 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1),
1449 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8),
1450 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C),
1451 MBEDTLS_BYTES_TO_T_UINT_8(0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E),
1452 MBEDTLS_BYTES_TO_T_UINT_8(0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85),
1453 MBEDTLS_BYTES_TO_T_UINT_8(0xC6, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001454};
1455static const mbedtls_mpi_uint secp521r1_T_0_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001456 MBEDTLS_BYTES_TO_T_UINT_8(0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88),
1457 MBEDTLS_BYTES_TO_T_UINT_8(0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35),
1458 MBEDTLS_BYTES_TO_T_UINT_8(0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5),
1459 MBEDTLS_BYTES_TO_T_UINT_8(0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97),
1460 MBEDTLS_BYTES_TO_T_UINT_8(0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17),
1461 MBEDTLS_BYTES_TO_T_UINT_8(0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98),
1462 MBEDTLS_BYTES_TO_T_UINT_8(0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C),
1463 MBEDTLS_BYTES_TO_T_UINT_8(0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39),
1464 MBEDTLS_BYTES_TO_T_UINT_8(0x18, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001465};
1466static const mbedtls_mpi_uint secp521r1_T_1_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001467 MBEDTLS_BYTES_TO_T_UINT_8(0x2F, 0xB1, 0x2D, 0xEB, 0x27, 0x2F, 0xE8, 0xDA),
1468 MBEDTLS_BYTES_TO_T_UINT_8(0x98, 0x4B, 0x44, 0x25, 0xDB, 0x5C, 0x5F, 0x67),
1469 MBEDTLS_BYTES_TO_T_UINT_8(0x13, 0x85, 0x28, 0x78, 0x2E, 0x75, 0x34, 0x32),
1470 MBEDTLS_BYTES_TO_T_UINT_8(0x69, 0x57, 0x0F, 0x73, 0x78, 0x7A, 0xE3, 0x53),
1471 MBEDTLS_BYTES_TO_T_UINT_8(0x8D, 0xD8, 0xEC, 0xDC, 0xDA, 0x04, 0xAD, 0xAB),
1472 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0x8A, 0x09, 0xF3, 0x58, 0x79, 0xD8, 0x29),
1473 MBEDTLS_BYTES_TO_T_UINT_8(0x63, 0x03, 0xCB, 0x50, 0x1A, 0x7F, 0x56, 0x00),
1474 MBEDTLS_BYTES_TO_T_UINT_8(0xF6, 0xA6, 0x78, 0x38, 0x85, 0x67, 0x0B, 0x40),
1475 MBEDTLS_BYTES_TO_T_UINT_8(0x83, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001476};
1477static const mbedtls_mpi_uint secp521r1_T_1_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001478 MBEDTLS_BYTES_TO_T_UINT_8(0x8A, 0xD5, 0xD2, 0x22, 0xC4, 0x00, 0x3B, 0xBA),
1479 MBEDTLS_BYTES_TO_T_UINT_8(0xD5, 0x93, 0x0E, 0x7B, 0x85, 0x51, 0xC3, 0x06),
1480 MBEDTLS_BYTES_TO_T_UINT_8(0x3D, 0xA6, 0x5F, 0x54, 0x49, 0x02, 0x81, 0x78),
1481 MBEDTLS_BYTES_TO_T_UINT_8(0x22, 0xE9, 0x6B, 0x3A, 0x92, 0xE7, 0x72, 0x1D),
1482 MBEDTLS_BYTES_TO_T_UINT_8(0x6F, 0x5F, 0x28, 0x9E, 0x91, 0x27, 0x88, 0xE3),
1483 MBEDTLS_BYTES_TO_T_UINT_8(0xEF, 0x28, 0x31, 0xB3, 0x84, 0xCA, 0x12, 0x32),
1484 MBEDTLS_BYTES_TO_T_UINT_8(0x3D, 0xF9, 0xAC, 0x22, 0x10, 0x0A, 0x64, 0x41),
1485 MBEDTLS_BYTES_TO_T_UINT_8(0xE9, 0xC6, 0x33, 0x1F, 0x69, 0x19, 0x18, 0xBF),
1486 MBEDTLS_BYTES_TO_T_UINT_8(0xBE, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001487};
1488static const mbedtls_mpi_uint secp521r1_T_2_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001489 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0x48, 0xB8, 0xC7, 0x37, 0x5A, 0x00, 0x36),
1490 MBEDTLS_BYTES_TO_T_UINT_8(0x07, 0xCC, 0x32, 0xE0, 0xEE, 0x03, 0xC2, 0xBA),
1491 MBEDTLS_BYTES_TO_T_UINT_8(0xC4, 0x29, 0xC2, 0xE4, 0x6E, 0x24, 0x20, 0x8D),
1492 MBEDTLS_BYTES_TO_T_UINT_8(0x06, 0x6B, 0x7F, 0x7B, 0xF9, 0xB0, 0xB8, 0x13),
1493 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0x7B, 0x3C, 0xE1, 0x19, 0xA1, 0x23, 0x02),
1494 MBEDTLS_BYTES_TO_T_UINT_8(0x2A, 0xE3, 0xC2, 0x53, 0xC0, 0x07, 0x13, 0xA9),
1495 MBEDTLS_BYTES_TO_T_UINT_8(0x07, 0xFE, 0x36, 0x35, 0x9F, 0x5E, 0x59, 0xCE),
1496 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0x55, 0x89, 0x84, 0xBC, 0xEF, 0xA2, 0xC2),
1497 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001498};
1499static const mbedtls_mpi_uint secp521r1_T_2_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001500 MBEDTLS_BYTES_TO_T_UINT_8(0xFD, 0x1A, 0x08, 0x67, 0xB4, 0xE7, 0x22, 0xED),
1501 MBEDTLS_BYTES_TO_T_UINT_8(0x76, 0x26, 0xDF, 0x81, 0x3C, 0x5F, 0x1C, 0xDA),
1502 MBEDTLS_BYTES_TO_T_UINT_8(0xE0, 0x4D, 0xD0, 0x0A, 0x48, 0x06, 0xF4, 0x48),
1503 MBEDTLS_BYTES_TO_T_UINT_8(0x73, 0x18, 0x39, 0xF7, 0xD1, 0x20, 0x77, 0x8D),
1504 MBEDTLS_BYTES_TO_T_UINT_8(0x78, 0x8F, 0x44, 0x13, 0xCB, 0x78, 0x11, 0x11),
1505 MBEDTLS_BYTES_TO_T_UINT_8(0x33, 0xE2, 0x49, 0xEA, 0x43, 0x79, 0x08, 0x39),
1506 MBEDTLS_BYTES_TO_T_UINT_8(0x01, 0xD1, 0xD8, 0x73, 0x2C, 0x71, 0x2F, 0x69),
1507 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0xE5, 0xE7, 0xF4, 0x46, 0xAB, 0x20, 0xCA),
1508 MBEDTLS_BYTES_TO_T_UINT_8(0x5A, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001509};
1510static const mbedtls_mpi_uint secp521r1_T_3_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001511 MBEDTLS_BYTES_TO_T_UINT_8(0x8C, 0x0B, 0xB9, 0x71, 0x1A, 0x27, 0xB7, 0xA7),
1512 MBEDTLS_BYTES_TO_T_UINT_8(0x2A, 0xA2, 0x2C, 0xD1, 0xDA, 0xBC, 0xC1, 0xBD),
1513 MBEDTLS_BYTES_TO_T_UINT_8(0x10, 0xA3, 0x10, 0x1F, 0x90, 0xF2, 0xA5, 0x52),
1514 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0xFB, 0x20, 0xF4, 0xC0, 0x70, 0xC0, 0xF5),
1515 MBEDTLS_BYTES_TO_T_UINT_8(0x8F, 0xA7, 0x99, 0xF0, 0xA5, 0xD3, 0x09, 0xDD),
1516 MBEDTLS_BYTES_TO_T_UINT_8(0x26, 0xE8, 0x14, 0x39, 0xBE, 0xCB, 0x60, 0xAF),
1517 MBEDTLS_BYTES_TO_T_UINT_8(0x9F, 0xD6, 0x14, 0xA9, 0xC9, 0x20, 0xC3, 0xEA),
1518 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0xA8, 0x5B, 0xFD, 0x2D, 0x96, 0xBC, 0x78),
1519 MBEDTLS_BYTES_TO_T_UINT_8(0xC0, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001520};
1521static const mbedtls_mpi_uint secp521r1_T_3_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001522 MBEDTLS_BYTES_TO_T_UINT_8(0x9D, 0x04, 0x45, 0xBE, 0xCE, 0x75, 0x95, 0xF6),
1523 MBEDTLS_BYTES_TO_T_UINT_8(0xCC, 0xDA, 0x58, 0x49, 0x35, 0x09, 0x8D, 0x41),
1524 MBEDTLS_BYTES_TO_T_UINT_8(0x76, 0xF0, 0xC0, 0x36, 0xF2, 0xA6, 0x2D, 0x14),
1525 MBEDTLS_BYTES_TO_T_UINT_8(0xE7, 0xFC, 0x3D, 0xA8, 0xFB, 0x3C, 0xD2, 0x51),
1526 MBEDTLS_BYTES_TO_T_UINT_8(0x01, 0x4D, 0x71, 0x09, 0x18, 0x42, 0xF0, 0x2D),
1527 MBEDTLS_BYTES_TO_T_UINT_8(0x8D, 0xC1, 0xCE, 0x9E, 0x6A, 0x49, 0x60, 0x12),
1528 MBEDTLS_BYTES_TO_T_UINT_8(0xAD, 0xB1, 0x00, 0xF7, 0xA1, 0x7A, 0x31, 0xB4),
1529 MBEDTLS_BYTES_TO_T_UINT_8(0x41, 0xC3, 0x86, 0xCD, 0x20, 0x4A, 0x17, 0x86),
1530 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001531};
1532static const mbedtls_mpi_uint secp521r1_T_4_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001533 MBEDTLS_BYTES_TO_T_UINT_8(0x98, 0xAB, 0x8B, 0x47, 0x8D, 0xAA, 0xA6, 0x5B),
1534 MBEDTLS_BYTES_TO_T_UINT_8(0xC4, 0x97, 0xF0, 0xBC, 0x2D, 0xDC, 0x9D, 0x84),
1535 MBEDTLS_BYTES_TO_T_UINT_8(0x01, 0x86, 0xB0, 0x74, 0xB2, 0xF4, 0xF6, 0x67),
1536 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0xBD, 0xAC, 0xE3, 0x8F, 0x43, 0x5C, 0xB1),
1537 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0xC3, 0xE2, 0x6E, 0x25, 0x49, 0xCD, 0x0B),
1538 MBEDTLS_BYTES_TO_T_UINT_8(0x64, 0x5E, 0x08, 0xB3, 0xB9, 0xAC, 0x5F, 0xD1),
1539 MBEDTLS_BYTES_TO_T_UINT_8(0x08, 0xB7, 0xD1, 0xF4, 0xDC, 0x19, 0xE9, 0xC8),
1540 MBEDTLS_BYTES_TO_T_UINT_8(0x49, 0xE4, 0xFA, 0xE1, 0x36, 0x3E, 0xED, 0x6E),
1541 MBEDTLS_BYTES_TO_T_UINT_8(0x0A, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001542};
1543static const mbedtls_mpi_uint secp521r1_T_4_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001544 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x67, 0x92, 0x84, 0x6E, 0x48, 0x03, 0x51),
1545 MBEDTLS_BYTES_TO_T_UINT_8(0x9E, 0x95, 0xEF, 0x8F, 0xB2, 0x82, 0x6B, 0x1C),
1546 MBEDTLS_BYTES_TO_T_UINT_8(0x8D, 0xFA, 0xB9, 0x55, 0x23, 0xFE, 0x09, 0xB3),
1547 MBEDTLS_BYTES_TO_T_UINT_8(0xEF, 0x79, 0x85, 0x4B, 0x0E, 0xD4, 0x35, 0xDB),
1548 MBEDTLS_BYTES_TO_T_UINT_8(0x9A, 0x27, 0x45, 0x81, 0xE0, 0x88, 0x52, 0xAD),
1549 MBEDTLS_BYTES_TO_T_UINT_8(0x17, 0x63, 0xA2, 0x4B, 0xBC, 0x5D, 0xB1, 0x92),
1550 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0x8C, 0x83, 0xD9, 0x3E, 0xD3, 0x42, 0xDA),
1551 MBEDTLS_BYTES_TO_T_UINT_8(0x99, 0x03, 0x3A, 0x31, 0xBA, 0xE9, 0x3A, 0xD1),
1552 MBEDTLS_BYTES_TO_T_UINT_8(0x47, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001553};
1554static const mbedtls_mpi_uint secp521r1_T_5_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001555 MBEDTLS_BYTES_TO_T_UINT_8(0x35, 0x10, 0xCD, 0x2D, 0x00, 0xFE, 0x32, 0xA7),
1556 MBEDTLS_BYTES_TO_T_UINT_8(0xE4, 0x6E, 0x1F, 0xDA, 0xF8, 0x6F, 0x4D, 0x03),
1557 MBEDTLS_BYTES_TO_T_UINT_8(0x09, 0x79, 0x7D, 0x09, 0xE5, 0xD3, 0x03, 0x21),
1558 MBEDTLS_BYTES_TO_T_UINT_8(0x58, 0xC3, 0xBE, 0xDF, 0x07, 0x65, 0x49, 0xCC),
1559 MBEDTLS_BYTES_TO_T_UINT_8(0x08, 0x57, 0x33, 0xEF, 0xAE, 0x4F, 0x04, 0x27),
1560 MBEDTLS_BYTES_TO_T_UINT_8(0x9A, 0xE9, 0x9B, 0xFE, 0xBF, 0xE6, 0x85, 0xF6),
1561 MBEDTLS_BYTES_TO_T_UINT_8(0xBD, 0xBA, 0xAA, 0x06, 0xC4, 0xC6, 0xB8, 0x57),
1562 MBEDTLS_BYTES_TO_T_UINT_8(0x0C, 0x83, 0x01, 0xA9, 0xF6, 0x51, 0xE7, 0xB8),
1563 MBEDTLS_BYTES_TO_T_UINT_8(0x1B, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001564};
1565static const mbedtls_mpi_uint secp521r1_T_5_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001566 MBEDTLS_BYTES_TO_T_UINT_8(0xB9, 0xA6, 0x15, 0x8E, 0xAB, 0x1F, 0x10, 0x87),
1567 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0x08, 0x27, 0x1A, 0xA1, 0x21, 0xAD, 0xF5),
1568 MBEDTLS_BYTES_TO_T_UINT_8(0x02, 0x09, 0x90, 0x6E, 0x50, 0x90, 0x9A, 0x5D),
1569 MBEDTLS_BYTES_TO_T_UINT_8(0x86, 0x9A, 0xFE, 0xD7, 0xA1, 0xF5, 0xA2, 0x15),
1570 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0x7D, 0xE3, 0xDC, 0x21, 0xFB, 0xA4, 0x7B),
1571 MBEDTLS_BYTES_TO_T_UINT_8(0xB9, 0xBF, 0x07, 0xFF, 0x45, 0xDF, 0x51, 0x77),
1572 MBEDTLS_BYTES_TO_T_UINT_8(0x0B, 0x5C, 0x34, 0x02, 0x62, 0x9B, 0x08, 0x12),
1573 MBEDTLS_BYTES_TO_T_UINT_8(0x86, 0xCE, 0x9A, 0x6A, 0xEC, 0x75, 0xF6, 0x46),
1574 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001575};
1576static const mbedtls_mpi_uint secp521r1_T_6_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001577 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0x59, 0xF4, 0x78, 0x3C, 0x60, 0xB1, 0x4A),
1578 MBEDTLS_BYTES_TO_T_UINT_8(0x3E, 0x37, 0x84, 0x6A, 0xDC, 0xF2, 0x9A, 0x7D),
1579 MBEDTLS_BYTES_TO_T_UINT_8(0x40, 0x9A, 0x9A, 0x15, 0x36, 0xE0, 0x2B, 0x2D),
1580 MBEDTLS_BYTES_TO_T_UINT_8(0xEC, 0x38, 0x9C, 0x50, 0x3D, 0x1E, 0x37, 0x82),
1581 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0x79, 0xF0, 0x92, 0xF2, 0x8B, 0x18, 0x82),
1582 MBEDTLS_BYTES_TO_T_UINT_8(0x17, 0xE0, 0x82, 0x1E, 0x80, 0x82, 0x4B, 0xD7),
1583 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0xBB, 0x59, 0x6B, 0x8A, 0x77, 0x41, 0x40),
1584 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0xF9, 0xD4, 0xB8, 0x4A, 0x82, 0xCF, 0x40),
1585 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001586};
1587static const mbedtls_mpi_uint secp521r1_T_6_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001588 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0x8C, 0xC8, 0x9B, 0x72, 0x9E, 0xF7, 0xF9),
1589 MBEDTLS_BYTES_TO_T_UINT_8(0xB8, 0xCE, 0xE9, 0x77, 0x0A, 0x19, 0x59, 0x84),
1590 MBEDTLS_BYTES_TO_T_UINT_8(0x9D, 0xA1, 0x41, 0x6A, 0x72, 0x4B, 0xB4, 0xDC),
1591 MBEDTLS_BYTES_TO_T_UINT_8(0x0B, 0x35, 0x43, 0xE2, 0x8C, 0xBE, 0x0D, 0xE3),
1592 MBEDTLS_BYTES_TO_T_UINT_8(0xC1, 0xEB, 0xAD, 0xF3, 0xA9, 0xA6, 0x68, 0xA1),
1593 MBEDTLS_BYTES_TO_T_UINT_8(0x81, 0x2F, 0xE2, 0x48, 0x0C, 0xDB, 0x1F, 0x42),
1594 MBEDTLS_BYTES_TO_T_UINT_8(0xD1, 0x1E, 0x60, 0x9B, 0x2A, 0xD2, 0xC1, 0x3C),
1595 MBEDTLS_BYTES_TO_T_UINT_8(0xC0, 0x64, 0xB5, 0xD2, 0xF6, 0xF6, 0x6E, 0x22),
1596 MBEDTLS_BYTES_TO_T_UINT_8(0x70, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001597};
1598static const mbedtls_mpi_uint secp521r1_T_7_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001599 MBEDTLS_BYTES_TO_T_UINT_8(0xC6, 0x3D, 0x30, 0x78, 0x10, 0x18, 0x41, 0x51),
1600 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0x1D, 0x1C, 0xE0, 0x6D, 0x83, 0xD1, 0x93),
1601 MBEDTLS_BYTES_TO_T_UINT_8(0x7B, 0x03, 0x0B, 0xF5, 0x2F, 0x6C, 0x04, 0x98),
1602 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x3E, 0xD5, 0xFC, 0x31, 0x5B, 0x3A, 0xEB),
1603 MBEDTLS_BYTES_TO_T_UINT_8(0x50, 0x82, 0x2F, 0xFB, 0xFE, 0xF8, 0x76, 0x39),
1604 MBEDTLS_BYTES_TO_T_UINT_8(0x85, 0x26, 0xDA, 0x9C, 0x36, 0xF5, 0x93, 0xD1),
1605 MBEDTLS_BYTES_TO_T_UINT_8(0x4C, 0xE7, 0x6E, 0xD2, 0x7D, 0x81, 0x09, 0xC6),
1606 MBEDTLS_BYTES_TO_T_UINT_8(0xD3, 0x03, 0xF9, 0x58, 0x48, 0x24, 0xA2, 0xEE),
1607 MBEDTLS_BYTES_TO_T_UINT_8(0xE9, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001608};
1609static const mbedtls_mpi_uint secp521r1_T_7_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001610 MBEDTLS_BYTES_TO_T_UINT_8(0x1B, 0x79, 0x0C, 0x8E, 0x6B, 0x95, 0xF3, 0xC4),
1611 MBEDTLS_BYTES_TO_T_UINT_8(0xF4, 0x10, 0x5C, 0x87, 0x03, 0x39, 0xCF, 0x68),
1612 MBEDTLS_BYTES_TO_T_UINT_8(0xAD, 0xF0, 0xF7, 0xC1, 0x07, 0xA4, 0xF4, 0x3F),
1613 MBEDTLS_BYTES_TO_T_UINT_8(0x32, 0xE8, 0x02, 0x89, 0x65, 0xC4, 0x72, 0x36),
1614 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0x88, 0xEA, 0x96, 0x67, 0x0B, 0x5D, 0xDF),
1615 MBEDTLS_BYTES_TO_T_UINT_8(0xA8, 0x75, 0x60, 0xA8, 0xBD, 0x74, 0xDF, 0x68),
1616 MBEDTLS_BYTES_TO_T_UINT_8(0x6E, 0xE5, 0x71, 0x50, 0x67, 0xD0, 0xD2, 0xE6),
1617 MBEDTLS_BYTES_TO_T_UINT_8(0xD5, 0xFC, 0xE5, 0xC7, 0x77, 0xB0, 0x7F, 0x8C),
1618 MBEDTLS_BYTES_TO_T_UINT_8(0xF1, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001619};
1620static const mbedtls_mpi_uint secp521r1_T_8_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001621 MBEDTLS_BYTES_TO_T_UINT_8(0x97, 0x86, 0x69, 0xCD, 0x0D, 0x9A, 0xBD, 0x66),
1622 MBEDTLS_BYTES_TO_T_UINT_8(0x58, 0x17, 0xBC, 0xBB, 0x59, 0x85, 0x7D, 0x0E),
1623 MBEDTLS_BYTES_TO_T_UINT_8(0x8D, 0xA8, 0x76, 0xAC, 0x80, 0xA9, 0x72, 0xE0),
1624 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0x78, 0xC1, 0xE2, 0x4D, 0xAF, 0xF9, 0x3C),
1625 MBEDTLS_BYTES_TO_T_UINT_8(0xAD, 0x97, 0x8E, 0x74, 0xC4, 0x4B, 0xB2, 0x85),
1626 MBEDTLS_BYTES_TO_T_UINT_8(0xEA, 0xD8, 0xF6, 0xF3, 0xAF, 0x2F, 0x52, 0xE5),
1627 MBEDTLS_BYTES_TO_T_UINT_8(0x95, 0x57, 0xF4, 0xCE, 0xEE, 0x43, 0xED, 0x60),
1628 MBEDTLS_BYTES_TO_T_UINT_8(0x7D, 0x46, 0x38, 0xDE, 0x20, 0xFD, 0x59, 0x18),
1629 MBEDTLS_BYTES_TO_T_UINT_8(0xD7, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001630};
1631static const mbedtls_mpi_uint secp521r1_T_8_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001632 MBEDTLS_BYTES_TO_T_UINT_8(0x1C, 0x18, 0xE8, 0x58, 0xB9, 0x76, 0x2C, 0xE6),
1633 MBEDTLS_BYTES_TO_T_UINT_8(0xED, 0x54, 0xE4, 0xFE, 0xC7, 0xBC, 0x31, 0x37),
1634 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0xF8, 0x89, 0xEE, 0x70, 0xB5, 0xB0, 0x2C),
1635 MBEDTLS_BYTES_TO_T_UINT_8(0x83, 0x22, 0x26, 0x9A, 0x53, 0xB9, 0x38, 0x0A),
1636 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0xA7, 0x19, 0x8C, 0x74, 0x7E, 0x88, 0x46),
1637 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0xDA, 0x0A, 0xE8, 0xDA, 0xA5, 0xBE, 0x1D),
1638 MBEDTLS_BYTES_TO_T_UINT_8(0x90, 0x5C, 0xF7, 0xB1, 0x0C, 0x72, 0xFB, 0x09),
1639 MBEDTLS_BYTES_TO_T_UINT_8(0x78, 0xE2, 0x23, 0xE7, 0x46, 0xB7, 0xE0, 0x91),
1640 MBEDTLS_BYTES_TO_T_UINT_8(0xC5, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001641};
1642static const mbedtls_mpi_uint secp521r1_T_9_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001643 MBEDTLS_BYTES_TO_T_UINT_8(0x3A, 0x36, 0xBC, 0xBD, 0x48, 0x11, 0x8E, 0x72),
1644 MBEDTLS_BYTES_TO_T_UINT_8(0xAB, 0xBB, 0xA1, 0xF7, 0x0B, 0x9E, 0xBF, 0xDF),
1645 MBEDTLS_BYTES_TO_T_UINT_8(0x68, 0x28, 0xE1, 0xA2, 0x8F, 0xFC, 0xFC, 0xD6),
1646 MBEDTLS_BYTES_TO_T_UINT_8(0x81, 0xFE, 0x19, 0x0A, 0xE5, 0xE7, 0x69, 0x39),
1647 MBEDTLS_BYTES_TO_T_UINT_8(0x5E, 0xCD, 0x12, 0xF5, 0xBE, 0xD3, 0x04, 0xF1),
1648 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0xA8, 0x0D, 0x81, 0x59, 0xC4, 0x79, 0x98),
1649 MBEDTLS_BYTES_TO_T_UINT_8(0xA3, 0xF3, 0x4B, 0x92, 0x65, 0xC3, 0x31, 0xAD),
1650 MBEDTLS_BYTES_TO_T_UINT_8(0x75, 0xB5, 0x4F, 0x4D, 0x91, 0xD4, 0xE2, 0xB2),
1651 MBEDTLS_BYTES_TO_T_UINT_8(0x51, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001652};
1653static const mbedtls_mpi_uint secp521r1_T_9_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001654 MBEDTLS_BYTES_TO_T_UINT_8(0x72, 0x09, 0x41, 0x79, 0x1D, 0x4D, 0x0D, 0x33),
1655 MBEDTLS_BYTES_TO_T_UINT_8(0xBB, 0x31, 0x18, 0xBA, 0xA0, 0xF2, 0x6E, 0x7E),
1656 MBEDTLS_BYTES_TO_T_UINT_8(0x93, 0x5B, 0x4D, 0x4F, 0xAF, 0xC9, 0x8C, 0xA1),
1657 MBEDTLS_BYTES_TO_T_UINT_8(0x48, 0x99, 0x9C, 0x06, 0x68, 0xDE, 0xD8, 0x29),
1658 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0x04, 0xE1, 0xB5, 0x9D, 0x00, 0xBC, 0xB8),
1659 MBEDTLS_BYTES_TO_T_UINT_8(0x61, 0x95, 0x92, 0x8D, 0x72, 0xD3, 0x37, 0x42),
1660 MBEDTLS_BYTES_TO_T_UINT_8(0xAB, 0x4B, 0x27, 0xA2, 0xE8, 0xA4, 0x26, 0xA1),
1661 MBEDTLS_BYTES_TO_T_UINT_8(0x4F, 0x45, 0x9C, 0xA9, 0xCB, 0x9F, 0xBA, 0x85),
1662 MBEDTLS_BYTES_TO_T_UINT_8(0xCB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001663};
1664static const mbedtls_mpi_uint secp521r1_T_10_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001665 MBEDTLS_BYTES_TO_T_UINT_8(0x08, 0x7E, 0x1B, 0x64, 0xF4, 0xE8, 0xA5, 0x55),
1666 MBEDTLS_BYTES_TO_T_UINT_8(0xF7, 0x20, 0xA9, 0xCA, 0xF3, 0x89, 0xE5, 0xE1),
1667 MBEDTLS_BYTES_TO_T_UINT_8(0x83, 0xED, 0xFC, 0xAB, 0xD9, 0x0A, 0xB9, 0x07),
1668 MBEDTLS_BYTES_TO_T_UINT_8(0x08, 0x6F, 0x46, 0x7C, 0xCD, 0x78, 0xFF, 0x05),
1669 MBEDTLS_BYTES_TO_T_UINT_8(0x69, 0xAB, 0x71, 0x5A, 0x94, 0xAB, 0x20, 0x20),
1670 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0x2E, 0xEE, 0x87, 0x57, 0x1F, 0xAD, 0xD3),
1671 MBEDTLS_BYTES_TO_T_UINT_8(0x91, 0x4C, 0x3D, 0xFB, 0x7E, 0xA1, 0x8B, 0x07),
1672 MBEDTLS_BYTES_TO_T_UINT_8(0x69, 0xCF, 0x07, 0x86, 0xBA, 0x53, 0x37, 0xCF),
1673 MBEDTLS_BYTES_TO_T_UINT_8(0x38, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001674};
1675static const mbedtls_mpi_uint secp521r1_T_10_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001676 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x26, 0xB2, 0xB9, 0xE2, 0x91, 0xE3, 0xB5),
1677 MBEDTLS_BYTES_TO_T_UINT_8(0x79, 0xC9, 0x54, 0x84, 0x08, 0x3D, 0x0B, 0xD2),
1678 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0xA8, 0x77, 0x2F, 0x64, 0x45, 0x99, 0x4C),
1679 MBEDTLS_BYTES_TO_T_UINT_8(0x87, 0x96, 0x16, 0x1F, 0xDB, 0x96, 0x28, 0x97),
1680 MBEDTLS_BYTES_TO_T_UINT_8(0x83, 0x2B, 0x8D, 0xFF, 0xA2, 0x4F, 0x55, 0xD3),
1681 MBEDTLS_BYTES_TO_T_UINT_8(0x71, 0xE6, 0x48, 0xBD, 0x99, 0x3D, 0x12, 0x57),
1682 MBEDTLS_BYTES_TO_T_UINT_8(0x3F, 0x84, 0x59, 0xDA, 0xB9, 0xB6, 0x66, 0x12),
1683 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0x78, 0x41, 0x92, 0xDF, 0xF4, 0x3F, 0x63),
1684 MBEDTLS_BYTES_TO_T_UINT_8(0x1F, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001685};
1686static const mbedtls_mpi_uint secp521r1_T_11_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001687 MBEDTLS_BYTES_TO_T_UINT_8(0x7E, 0x86, 0x6F, 0x4F, 0xBF, 0x67, 0xDF, 0x2F),
1688 MBEDTLS_BYTES_TO_T_UINT_8(0xF2, 0x2B, 0x1E, 0x5F, 0x00, 0xEA, 0xF6, 0x56),
1689 MBEDTLS_BYTES_TO_T_UINT_8(0x90, 0xB9, 0x6A, 0x89, 0xD8, 0xC0, 0xD7, 0xA7),
1690 MBEDTLS_BYTES_TO_T_UINT_8(0xCB, 0x9A, 0x32, 0x23, 0xA0, 0x02, 0x91, 0x58),
1691 MBEDTLS_BYTES_TO_T_UINT_8(0x42, 0x7F, 0x6A, 0x15, 0x64, 0x6A, 0x8B, 0xBB),
1692 MBEDTLS_BYTES_TO_T_UINT_8(0x8A, 0x57, 0x82, 0x58, 0xA9, 0x56, 0xB5, 0xFB),
1693 MBEDTLS_BYTES_TO_T_UINT_8(0xDD, 0x50, 0x92, 0x60, 0xCC, 0x81, 0x24, 0xA8),
1694 MBEDTLS_BYTES_TO_T_UINT_8(0x36, 0x3D, 0xAD, 0xDA, 0xD9, 0x51, 0x3E, 0x57),
1695 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001696};
1697static const mbedtls_mpi_uint secp521r1_T_11_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001698 MBEDTLS_BYTES_TO_T_UINT_8(0xEC, 0xFE, 0x8F, 0xB0, 0x0B, 0xDE, 0x2E, 0x7E),
1699 MBEDTLS_BYTES_TO_T_UINT_8(0x79, 0xD2, 0xBE, 0xEF, 0xAC, 0x76, 0x71, 0xA3),
1700 MBEDTLS_BYTES_TO_T_UINT_8(0x55, 0xE8, 0x72, 0x0B, 0xAC, 0xFE, 0xCA, 0x5A),
1701 MBEDTLS_BYTES_TO_T_UINT_8(0xAD, 0x5B, 0xC7, 0xFC, 0xE3, 0x3C, 0x7C, 0x4C),
1702 MBEDTLS_BYTES_TO_T_UINT_8(0xA1, 0x04, 0xA7, 0xB9, 0x9B, 0x93, 0xC0, 0x2F),
1703 MBEDTLS_BYTES_TO_T_UINT_8(0x41, 0x48, 0x4B, 0x8E, 0x32, 0xC5, 0xF0, 0x6B),
1704 MBEDTLS_BYTES_TO_T_UINT_8(0xB0, 0x42, 0x07, 0xC1, 0xF2, 0xF1, 0x72, 0x5B),
1705 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0x37, 0x54, 0x9C, 0x88, 0xD2, 0x62, 0xAA),
1706 MBEDTLS_BYTES_TO_T_UINT_8(0xC1, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001707};
1708static const mbedtls_mpi_uint secp521r1_T_12_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001709 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0x19, 0x8A, 0x89, 0x58, 0xA2, 0x0F, 0xDB),
1710 MBEDTLS_BYTES_TO_T_UINT_8(0x01, 0xCC, 0x4C, 0x97, 0x30, 0x66, 0x34, 0x26),
1711 MBEDTLS_BYTES_TO_T_UINT_8(0x83, 0x6A, 0x1E, 0x1F, 0xDB, 0xC9, 0x5E, 0x13),
1712 MBEDTLS_BYTES_TO_T_UINT_8(0x1B, 0x4D, 0x49, 0xFF, 0x9B, 0x9C, 0xAC, 0x9B),
1713 MBEDTLS_BYTES_TO_T_UINT_8(0xD7, 0xE4, 0x4B, 0xF2, 0xD4, 0x1A, 0xD2, 0x78),
1714 MBEDTLS_BYTES_TO_T_UINT_8(0xCD, 0xDA, 0xE8, 0x61, 0x9F, 0xC8, 0x49, 0x32),
1715 MBEDTLS_BYTES_TO_T_UINT_8(0x51, 0xCB, 0xF2, 0x2D, 0x85, 0xF6, 0x8D, 0x52),
1716 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0xC5, 0xCD, 0x2C, 0x79, 0xC6, 0x0E, 0x4F),
1717 MBEDTLS_BYTES_TO_T_UINT_8(0xDB, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001718};
1719static const mbedtls_mpi_uint secp521r1_T_12_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001720 MBEDTLS_BYTES_TO_T_UINT_8(0x73, 0x1D, 0x55, 0x0F, 0xF8, 0x22, 0x9F, 0x78),
1721 MBEDTLS_BYTES_TO_T_UINT_8(0x76, 0x56, 0xBA, 0xE7, 0x57, 0x32, 0xEC, 0x42),
1722 MBEDTLS_BYTES_TO_T_UINT_8(0x65, 0x9A, 0xC6, 0x4C, 0x09, 0xC4, 0x52, 0x3F),
1723 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x1E, 0x6F, 0xF4, 0x7D, 0x27, 0xDD, 0xAF),
1724 MBEDTLS_BYTES_TO_T_UINT_8(0x94, 0x11, 0x16, 0xEC, 0x79, 0x83, 0xAD, 0xAE),
1725 MBEDTLS_BYTES_TO_T_UINT_8(0x46, 0x4E, 0x92, 0x1F, 0x19, 0x7D, 0x65, 0xDC),
1726 MBEDTLS_BYTES_TO_T_UINT_8(0x09, 0xFF, 0x78, 0x15, 0x45, 0x63, 0x32, 0xE4),
1727 MBEDTLS_BYTES_TO_T_UINT_8(0xBF, 0x91, 0xD0, 0x78, 0x58, 0xDA, 0x50, 0x47),
1728 MBEDTLS_BYTES_TO_T_UINT_8(0x73, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001729};
1730static const mbedtls_mpi_uint secp521r1_T_13_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001731 MBEDTLS_BYTES_TO_T_UINT_8(0x23, 0xDE, 0x40, 0xF6, 0x41, 0xB4, 0x3B, 0x95),
1732 MBEDTLS_BYTES_TO_T_UINT_8(0xC6, 0x8D, 0xE0, 0xE1, 0xA9, 0xF0, 0x35, 0x5D),
1733 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0xD4, 0xBA, 0x7B, 0xCC, 0x1B, 0x3A, 0x32),
1734 MBEDTLS_BYTES_TO_T_UINT_8(0xD0, 0x5A, 0x2E, 0x74, 0x47, 0x14, 0xC3, 0x4D),
1735 MBEDTLS_BYTES_TO_T_UINT_8(0x7D, 0xF0, 0x8B, 0x06, 0x15, 0x8E, 0x0E, 0xCA),
1736 MBEDTLS_BYTES_TO_T_UINT_8(0xB5, 0xD2, 0xEB, 0x97, 0x50, 0x7D, 0x31, 0xFC),
1737 MBEDTLS_BYTES_TO_T_UINT_8(0x42, 0x93, 0x4C, 0xDB, 0x97, 0x79, 0x44, 0xF5),
1738 MBEDTLS_BYTES_TO_T_UINT_8(0x9C, 0xA2, 0xA0, 0x0B, 0xC8, 0x3A, 0x8A, 0xF9),
1739 MBEDTLS_BYTES_TO_T_UINT_8(0x61, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001740};
1741static const mbedtls_mpi_uint secp521r1_T_13_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001742 MBEDTLS_BYTES_TO_T_UINT_8(0x79, 0x50, 0x92, 0x9E, 0x24, 0x1F, 0xCB, 0x4C),
1743 MBEDTLS_BYTES_TO_T_UINT_8(0xD3, 0x16, 0xC9, 0xC5, 0x3D, 0x5A, 0xAF, 0x97),
1744 MBEDTLS_BYTES_TO_T_UINT_8(0x18, 0xE3, 0x97, 0xE4, 0xA8, 0x50, 0xF6, 0x7E),
1745 MBEDTLS_BYTES_TO_T_UINT_8(0x45, 0x57, 0x97, 0x42, 0x78, 0x92, 0x49, 0x0D),
1746 MBEDTLS_BYTES_TO_T_UINT_8(0xA5, 0xEB, 0x62, 0x24, 0xFB, 0x8F, 0x32, 0xCF),
1747 MBEDTLS_BYTES_TO_T_UINT_8(0xF3, 0x0C, 0x36, 0x6E, 0x8F, 0xE8, 0xE8, 0x8E),
1748 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0xD3, 0x7C, 0xC7, 0x8D, 0x3F, 0x5C, 0xE1),
1749 MBEDTLS_BYTES_TO_T_UINT_8(0x6A, 0x64, 0x6A, 0x73, 0x10, 0x79, 0xB8, 0x5A),
1750 MBEDTLS_BYTES_TO_T_UINT_8(0xCB, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001751};
1752static const mbedtls_mpi_uint secp521r1_T_14_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001753 MBEDTLS_BYTES_TO_T_UINT_8(0x51, 0xF9, 0xEF, 0xA5, 0x20, 0x4A, 0x5C, 0xA1),
1754 MBEDTLS_BYTES_TO_T_UINT_8(0x2F, 0xF3, 0xF4, 0x49, 0x5B, 0x73, 0xAA, 0x1B),
1755 MBEDTLS_BYTES_TO_T_UINT_8(0xC6, 0xF2, 0xEA, 0x0F, 0x00, 0xAD, 0x53, 0xAB),
1756 MBEDTLS_BYTES_TO_T_UINT_8(0x03, 0xB8, 0x66, 0xED, 0xC4, 0x2B, 0x4C, 0x35),
1757 MBEDTLS_BYTES_TO_T_UINT_8(0x3A, 0x2F, 0xC1, 0x9A, 0x37, 0xD2, 0x7F, 0x58),
1758 MBEDTLS_BYTES_TO_T_UINT_8(0x29, 0xA7, 0x81, 0x38, 0x64, 0xC9, 0x37, 0x38),
1759 MBEDTLS_BYTES_TO_T_UINT_8(0xBE, 0x3B, 0x6C, 0x9F, 0x5B, 0xD9, 0x8B, 0x1D),
1760 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x14, 0xD9, 0x08, 0xD8, 0xD2, 0x7E, 0x23),
1761 MBEDTLS_BYTES_TO_T_UINT_8(0x1C, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001762};
1763static const mbedtls_mpi_uint secp521r1_T_14_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001764 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0x71, 0xE6, 0x3D, 0xD1, 0xB0, 0xE7, 0xCD),
1765 MBEDTLS_BYTES_TO_T_UINT_8(0x5B, 0x81, 0x23, 0xEC, 0x2D, 0x42, 0x45, 0xE6),
1766 MBEDTLS_BYTES_TO_T_UINT_8(0x51, 0x5B, 0x44, 0x6B, 0x89, 0x03, 0x67, 0x28),
1767 MBEDTLS_BYTES_TO_T_UINT_8(0x84, 0x27, 0xAE, 0x80, 0x5A, 0x33, 0xBE, 0x11),
1768 MBEDTLS_BYTES_TO_T_UINT_8(0xE3, 0xB6, 0x64, 0x1A, 0xDF, 0xD3, 0x85, 0x91),
1769 MBEDTLS_BYTES_TO_T_UINT_8(0x67, 0x8C, 0x22, 0xBA, 0xD0, 0xBD, 0xCC, 0xA0),
1770 MBEDTLS_BYTES_TO_T_UINT_8(0xF7, 0x3C, 0x01, 0x3A, 0xFF, 0x9D, 0xC7, 0x6B),
1771 MBEDTLS_BYTES_TO_T_UINT_8(0x0C, 0xC7, 0x64, 0xB4, 0x59, 0x4E, 0x9F, 0x22),
1772 MBEDTLS_BYTES_TO_T_UINT_8(0x85, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001773};
1774static const mbedtls_mpi_uint secp521r1_T_15_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001775 MBEDTLS_BYTES_TO_T_UINT_8(0xA1, 0x34, 0x0A, 0x41, 0x94, 0xA8, 0xF2, 0xB7),
1776 MBEDTLS_BYTES_TO_T_UINT_8(0xF6, 0xD4, 0xE4, 0xF0, 0x97, 0x45, 0x6D, 0xCA),
1777 MBEDTLS_BYTES_TO_T_UINT_8(0x8F, 0x1F, 0x4D, 0x6D, 0xFE, 0xA0, 0xC4, 0x84),
1778 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0x28, 0x5C, 0x40, 0xBB, 0x65, 0xD4, 0x42),
1779 MBEDTLS_BYTES_TO_T_UINT_8(0x98, 0xA8, 0x87, 0x35, 0x20, 0x3A, 0x89, 0x44),
1780 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0xFD, 0x4F, 0xAB, 0x2D, 0xD1, 0xD0, 0xC0),
1781 MBEDTLS_BYTES_TO_T_UINT_8(0x86, 0xE8, 0x00, 0xFC, 0x69, 0x52, 0xF8, 0xD5),
1782 MBEDTLS_BYTES_TO_T_UINT_8(0xE1, 0x9A, 0x99, 0xE1, 0xDC, 0x9C, 0x3F, 0xD9),
1783 MBEDTLS_BYTES_TO_T_UINT_8(0x99, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001784};
1785static const mbedtls_mpi_uint secp521r1_T_15_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001786 MBEDTLS_BYTES_TO_T_UINT_8(0x12, 0x08, 0x98, 0xD9, 0xCA, 0x73, 0xD5, 0xA9),
1787 MBEDTLS_BYTES_TO_T_UINT_8(0xB9, 0x2C, 0xE0, 0xA7, 0x3E, 0x91, 0xD7, 0x87),
1788 MBEDTLS_BYTES_TO_T_UINT_8(0x68, 0x04, 0xB0, 0x54, 0x09, 0xF4, 0x72, 0xB7),
1789 MBEDTLS_BYTES_TO_T_UINT_8(0xC8, 0xEE, 0x28, 0xCC, 0xE8, 0x50, 0x78, 0x20),
1790 MBEDTLS_BYTES_TO_T_UINT_8(0x0D, 0x91, 0x03, 0x76, 0xDB, 0x68, 0x24, 0x77),
1791 MBEDTLS_BYTES_TO_T_UINT_8(0x7A, 0xE0, 0x56, 0xB2, 0x5D, 0x12, 0xD3, 0xB5),
1792 MBEDTLS_BYTES_TO_T_UINT_8(0x0D, 0x42, 0x59, 0x8B, 0xDF, 0x67, 0xB5, 0xBE),
1793 MBEDTLS_BYTES_TO_T_UINT_8(0xD1, 0xCC, 0xE5, 0x31, 0x53, 0x7A, 0x46, 0xB3),
1794 MBEDTLS_BYTES_TO_T_UINT_8(0xDA, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001795};
1796static const mbedtls_mpi_uint secp521r1_T_16_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001797 MBEDTLS_BYTES_TO_T_UINT_8(0xCC, 0x8D, 0x59, 0xB5, 0x1B, 0x0F, 0xF4, 0xAF),
1798 MBEDTLS_BYTES_TO_T_UINT_8(0xD9, 0x2F, 0xD1, 0x2C, 0xE0, 0xD8, 0x04, 0xEF),
1799 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0xF4, 0xD7, 0xBA, 0xB0, 0xA3, 0x7E, 0xC9),
1800 MBEDTLS_BYTES_TO_T_UINT_8(0xCD, 0x08, 0x51, 0x56, 0xA6, 0x76, 0x67, 0x33),
1801 MBEDTLS_BYTES_TO_T_UINT_8(0x8C, 0x17, 0x63, 0xFE, 0x56, 0xD0, 0xD9, 0x71),
1802 MBEDTLS_BYTES_TO_T_UINT_8(0xAA, 0xF6, 0xC3, 0x14, 0x47, 0xC5, 0xA7, 0x31),
1803 MBEDTLS_BYTES_TO_T_UINT_8(0x72, 0x4C, 0x80, 0xF6, 0xA2, 0x57, 0xA7, 0x5D),
1804 MBEDTLS_BYTES_TO_T_UINT_8(0x11, 0xB3, 0x7B, 0xF8, 0x2F, 0xE1, 0x3E, 0x7B),
1805 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001806};
1807static const mbedtls_mpi_uint secp521r1_T_16_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001808 MBEDTLS_BYTES_TO_T_UINT_8(0x26, 0xF4, 0xF9, 0x6B, 0x7B, 0x90, 0xDF, 0x30),
1809 MBEDTLS_BYTES_TO_T_UINT_8(0x1F, 0x82, 0xEF, 0x62, 0xA1, 0x4C, 0x53, 0xCA),
1810 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0x99, 0x76, 0x01, 0xBA, 0x8D, 0x0F, 0x54),
1811 MBEDTLS_BYTES_TO_T_UINT_8(0xAF, 0xF4, 0x58, 0x73, 0x56, 0xFE, 0xDD, 0x7C),
1812 MBEDTLS_BYTES_TO_T_UINT_8(0xF6, 0xCE, 0xF9, 0xE8, 0xA1, 0x34, 0xC3, 0x5B),
1813 MBEDTLS_BYTES_TO_T_UINT_8(0x09, 0x5F, 0xDC, 0x6A, 0x3D, 0xD8, 0x7F, 0x42),
1814 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0xF4, 0x51, 0xB8, 0xB8, 0xC1, 0xD7, 0x2F),
1815 MBEDTLS_BYTES_TO_T_UINT_8(0xAE, 0x7D, 0x58, 0xD1, 0xD4, 0x1B, 0x4D, 0x23),
1816 MBEDTLS_BYTES_TO_T_UINT_8(0xD3, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001817};
1818static const mbedtls_mpi_uint secp521r1_T_17_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001819 MBEDTLS_BYTES_TO_T_UINT_8(0xB9, 0x95, 0xDF, 0x00, 0xD8, 0x21, 0xDE, 0x94),
1820 MBEDTLS_BYTES_TO_T_UINT_8(0xF7, 0x47, 0x3C, 0xC3, 0xB2, 0x01, 0x53, 0x5D),
1821 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0x17, 0x43, 0x23, 0xBD, 0xCA, 0x71, 0xF2),
1822 MBEDTLS_BYTES_TO_T_UINT_8(0x70, 0xBA, 0x0F, 0x4F, 0xDC, 0x41, 0x54, 0xBE),
1823 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0x39, 0x26, 0x70, 0x53, 0x32, 0x18, 0x11),
1824 MBEDTLS_BYTES_TO_T_UINT_8(0x32, 0x46, 0x07, 0x97, 0x3A, 0x57, 0xE0, 0x01),
1825 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0x92, 0x4F, 0xCE, 0xDF, 0x25, 0x80, 0x26),
1826 MBEDTLS_BYTES_TO_T_UINT_8(0x5B, 0x6F, 0x9A, 0x03, 0x05, 0x4B, 0xD1, 0x47),
1827 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001828};
1829static const mbedtls_mpi_uint secp521r1_T_17_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001830 MBEDTLS_BYTES_TO_T_UINT_8(0x25, 0x01, 0x72, 0x30, 0x90, 0x17, 0x51, 0x20),
1831 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0xFB, 0x41, 0x65, 0x5C, 0xB4, 0x2D, 0xEE),
1832 MBEDTLS_BYTES_TO_T_UINT_8(0x66, 0xCD, 0xCD, 0xAA, 0x41, 0xCC, 0xBB, 0x07),
1833 MBEDTLS_BYTES_TO_T_UINT_8(0xD4, 0xCE, 0x08, 0x0A, 0x63, 0xE9, 0xA2, 0xFF),
1834 MBEDTLS_BYTES_TO_T_UINT_8(0x3D, 0xA8, 0x21, 0x7F, 0x7A, 0x5B, 0x9B, 0x81),
1835 MBEDTLS_BYTES_TO_T_UINT_8(0x10, 0x6B, 0x89, 0x44, 0x0A, 0x7F, 0x85, 0x5F),
1836 MBEDTLS_BYTES_TO_T_UINT_8(0x7D, 0xDE, 0x7C, 0x19, 0x5C, 0x65, 0x26, 0x61),
1837 MBEDTLS_BYTES_TO_T_UINT_8(0xD7, 0xAC, 0x62, 0x29, 0x4A, 0xF1, 0xD0, 0x81),
1838 MBEDTLS_BYTES_TO_T_UINT_8(0x38, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001839};
1840static const mbedtls_mpi_uint secp521r1_T_18_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001841 MBEDTLS_BYTES_TO_T_UINT_8(0x32, 0x00, 0x40, 0x87, 0xEB, 0xA9, 0x58, 0x56),
1842 MBEDTLS_BYTES_TO_T_UINT_8(0xAF, 0x51, 0x0B, 0xFF, 0x56, 0x35, 0x51, 0xB3),
1843 MBEDTLS_BYTES_TO_T_UINT_8(0x7B, 0xAC, 0x08, 0x94, 0x71, 0xDA, 0xEC, 0x99),
1844 MBEDTLS_BYTES_TO_T_UINT_8(0x5F, 0x4D, 0xC5, 0x7B, 0x31, 0x8B, 0x8D, 0x5E),
1845 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0x05, 0xF1, 0x3E, 0x9E, 0x8F, 0x17, 0x8F),
1846 MBEDTLS_BYTES_TO_T_UINT_8(0xF0, 0x9C, 0x4B, 0x62, 0x94, 0xAD, 0x49, 0xFC),
1847 MBEDTLS_BYTES_TO_T_UINT_8(0x0F, 0xC9, 0xC6, 0x8F, 0xFD, 0x33, 0x44, 0x34),
1848 MBEDTLS_BYTES_TO_T_UINT_8(0x5F, 0x96, 0x17, 0x7F, 0x42, 0xBE, 0xF7, 0x0D),
1849 MBEDTLS_BYTES_TO_T_UINT_8(0xD4, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001850};
1851static const mbedtls_mpi_uint secp521r1_T_18_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001852 MBEDTLS_BYTES_TO_T_UINT_8(0xFB, 0x29, 0x39, 0x13, 0x08, 0x8D, 0x91, 0x47),
1853 MBEDTLS_BYTES_TO_T_UINT_8(0xF6, 0x79, 0xF9, 0x2F, 0xA9, 0x0A, 0xCF, 0xD6),
1854 MBEDTLS_BYTES_TO_T_UINT_8(0xAB, 0x87, 0x7A, 0xA3, 0x19, 0xAB, 0x55, 0xAD),
1855 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0x0B, 0x01, 0xC5, 0x56, 0x19, 0x9D, 0x9E),
1856 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0xDE, 0x82, 0x3B, 0xEA, 0xD3, 0x0B, 0x8C),
1857 MBEDTLS_BYTES_TO_T_UINT_8(0x65, 0x6B, 0xC7, 0xF3, 0x0F, 0x82, 0x87, 0x6C),
1858 MBEDTLS_BYTES_TO_T_UINT_8(0xD8, 0x2E, 0x23, 0xF2, 0x39, 0x9D, 0x49, 0x70),
1859 MBEDTLS_BYTES_TO_T_UINT_8(0x31, 0xDE, 0xAF, 0x7A, 0xEE, 0xB0, 0xDA, 0x70),
1860 MBEDTLS_BYTES_TO_T_UINT_8(0x63, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001861};
1862static const mbedtls_mpi_uint secp521r1_T_19_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001863 MBEDTLS_BYTES_TO_T_UINT_8(0x76, 0x4E, 0x2A, 0x50, 0xFD, 0x8E, 0xC0, 0xEB),
1864 MBEDTLS_BYTES_TO_T_UINT_8(0x52, 0x0F, 0x7C, 0x76, 0x63, 0xD8, 0x89, 0x45),
1865 MBEDTLS_BYTES_TO_T_UINT_8(0xEC, 0x2D, 0xB9, 0x4E, 0xF4, 0xEE, 0x85, 0xCF),
1866 MBEDTLS_BYTES_TO_T_UINT_8(0xC1, 0x95, 0x5C, 0x96, 0x5D, 0xAA, 0x59, 0x0B),
1867 MBEDTLS_BYTES_TO_T_UINT_8(0xCA, 0xDB, 0xD2, 0x68, 0x8E, 0x5A, 0x94, 0x60),
1868 MBEDTLS_BYTES_TO_T_UINT_8(0xD9, 0x02, 0xBF, 0x77, 0x9F, 0xB9, 0x4C, 0xC9),
1869 MBEDTLS_BYTES_TO_T_UINT_8(0x2D, 0xDC, 0xC0, 0xCF, 0x81, 0x1E, 0xC4, 0x6C),
1870 MBEDTLS_BYTES_TO_T_UINT_8(0x2B, 0xCC, 0x37, 0x86, 0xDC, 0xE2, 0x64, 0x72),
1871 MBEDTLS_BYTES_TO_T_UINT_8(0xD5, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001872};
1873static const mbedtls_mpi_uint secp521r1_T_19_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001874 MBEDTLS_BYTES_TO_T_UINT_8(0x2C, 0x30, 0xB1, 0x59, 0x20, 0x9D, 0x98, 0x28),
1875 MBEDTLS_BYTES_TO_T_UINT_8(0x77, 0x0C, 0x9D, 0xF8, 0x20, 0xDC, 0x90, 0xBA),
1876 MBEDTLS_BYTES_TO_T_UINT_8(0xB1, 0xA0, 0xF4, 0xE7, 0x3E, 0x9C, 0x9E, 0xA2),
1877 MBEDTLS_BYTES_TO_T_UINT_8(0xB5, 0x25, 0xA2, 0xB0, 0x54, 0xCD, 0x2E, 0x33),
1878 MBEDTLS_BYTES_TO_T_UINT_8(0xEA, 0xD9, 0x42, 0xB0, 0x80, 0xB0, 0xA3, 0x38),
1879 MBEDTLS_BYTES_TO_T_UINT_8(0x9F, 0xFE, 0x9D, 0x8D, 0x40, 0xFF, 0x27, 0x6D),
1880 MBEDTLS_BYTES_TO_T_UINT_8(0x3A, 0x9D, 0xA6, 0x88, 0x3A, 0x8B, 0x6F, 0x14),
1881 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x39, 0xEE, 0x1F, 0x3F, 0xB1, 0x4F, 0x63),
1882 MBEDTLS_BYTES_TO_T_UINT_8(0x31, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001883};
1884static const mbedtls_mpi_uint secp521r1_T_20_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001885 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0xD7, 0x9E, 0xFF, 0xD2, 0x35, 0x67, 0x03),
1886 MBEDTLS_BYTES_TO_T_UINT_8(0xCA, 0x4F, 0x15, 0x5D, 0xE3, 0xE8, 0x53, 0x86),
1887 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0xF7, 0x24, 0x98, 0xA2, 0xCB, 0x11, 0x68),
1888 MBEDTLS_BYTES_TO_T_UINT_8(0x06, 0x2E, 0x25, 0xE1, 0x94, 0xC5, 0xA3, 0x96),
1889 MBEDTLS_BYTES_TO_T_UINT_8(0xE0, 0x82, 0x6E, 0xBA, 0xE7, 0x43, 0x25, 0xB0),
1890 MBEDTLS_BYTES_TO_T_UINT_8(0x18, 0x65, 0xB4, 0x49, 0x73, 0x18, 0x35, 0x54),
1891 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0x5B, 0xBC, 0x62, 0x86, 0x4C, 0xC1, 0xB7),
1892 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0xF2, 0x95, 0xA2, 0xBB, 0xA2, 0x35, 0x65),
1893 MBEDTLS_BYTES_TO_T_UINT_8(0xBF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001894};
1895static const mbedtls_mpi_uint secp521r1_T_20_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001896 MBEDTLS_BYTES_TO_T_UINT_8(0x72, 0x59, 0x62, 0xB0, 0x4B, 0x1E, 0xB4, 0xD8),
1897 MBEDTLS_BYTES_TO_T_UINT_8(0x0D, 0x55, 0xCE, 0xB0, 0x69, 0xBA, 0x63, 0x10),
1898 MBEDTLS_BYTES_TO_T_UINT_8(0x6E, 0x69, 0x86, 0xDB, 0x34, 0x7D, 0x68, 0x64),
1899 MBEDTLS_BYTES_TO_T_UINT_8(0xDA, 0x06, 0xCA, 0x55, 0x44, 0x36, 0x2B, 0xBA),
1900 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0xD4, 0xC4, 0x3D, 0xCD, 0x9E, 0x69, 0xA4),
1901 MBEDTLS_BYTES_TO_T_UINT_8(0x3F, 0x44, 0xE4, 0xBF, 0x31, 0xE6, 0x40, 0x9F),
1902 MBEDTLS_BYTES_TO_T_UINT_8(0x7E, 0x4F, 0xFA, 0x75, 0xE3, 0xFB, 0x97, 0x0E),
1903 MBEDTLS_BYTES_TO_T_UINT_8(0x08, 0xC0, 0xBD, 0x1C, 0x48, 0xB0, 0x26, 0xD0),
1904 MBEDTLS_BYTES_TO_T_UINT_8(0xD2, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001905};
1906static const mbedtls_mpi_uint secp521r1_T_21_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001907 MBEDTLS_BYTES_TO_T_UINT_8(0x1C, 0x7B, 0x32, 0xFA, 0xF2, 0x6D, 0x84, 0x8E),
1908 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0x21, 0x03, 0x1D, 0x0D, 0x22, 0x55, 0x67),
1909 MBEDTLS_BYTES_TO_T_UINT_8(0x18, 0xF9, 0x42, 0x03, 0x9C, 0xC2, 0xCB, 0xBA),
1910 MBEDTLS_BYTES_TO_T_UINT_8(0xF8, 0xA1, 0x96, 0xD9, 0x9D, 0x11, 0x6F, 0xBE),
1911 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0x40, 0x57, 0xEB, 0x40, 0x2D, 0xC0, 0x11),
1912 MBEDTLS_BYTES_TO_T_UINT_8(0x2F, 0x96, 0xBB, 0x4F, 0x2F, 0x23, 0xA8, 0x28),
1913 MBEDTLS_BYTES_TO_T_UINT_8(0x3A, 0x29, 0x85, 0x21, 0xA5, 0x50, 0x62, 0x06),
1914 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0x7D, 0x92, 0xCF, 0x87, 0x0C, 0x22, 0xF9),
1915 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001916};
1917static const mbedtls_mpi_uint secp521r1_T_21_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001918 MBEDTLS_BYTES_TO_T_UINT_8(0x5A, 0x0E, 0xA5, 0x32, 0x5B, 0xDF, 0x9C, 0xD5),
1919 MBEDTLS_BYTES_TO_T_UINT_8(0x27, 0x96, 0x37, 0x2C, 0x88, 0x35, 0x30, 0xA1),
1920 MBEDTLS_BYTES_TO_T_UINT_8(0x40, 0xB4, 0x69, 0xFF, 0xEB, 0xC6, 0x94, 0x08),
1921 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0x55, 0x60, 0xAD, 0xAA, 0x58, 0x14, 0x88),
1922 MBEDTLS_BYTES_TO_T_UINT_8(0x3C, 0xFF, 0xF2, 0xB2, 0xD5, 0xA7, 0xD9, 0x27),
1923 MBEDTLS_BYTES_TO_T_UINT_8(0x2D, 0xAE, 0x54, 0xD2, 0x60, 0x31, 0xF3, 0x15),
1924 MBEDTLS_BYTES_TO_T_UINT_8(0xBB, 0x92, 0x83, 0xE3, 0xF1, 0x42, 0x83, 0x6E),
1925 MBEDTLS_BYTES_TO_T_UINT_8(0x49, 0xD2, 0xC8, 0xB7, 0x76, 0x45, 0x7F, 0x7D),
1926 MBEDTLS_BYTES_TO_T_UINT_8(0x04, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001927};
1928static const mbedtls_mpi_uint secp521r1_T_22_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001929 MBEDTLS_BYTES_TO_T_UINT_8(0x4A, 0x11, 0xA4, 0xFB, 0x7A, 0x01, 0xBC, 0xC8),
1930 MBEDTLS_BYTES_TO_T_UINT_8(0xCD, 0x27, 0x73, 0x8D, 0x02, 0x91, 0x27, 0x8E),
1931 MBEDTLS_BYTES_TO_T_UINT_8(0xA4, 0x62, 0xF6, 0xDD, 0x6B, 0xFA, 0x5B, 0xB9),
1932 MBEDTLS_BYTES_TO_T_UINT_8(0xEF, 0xCA, 0xA2, 0x44, 0x2C, 0xF0, 0x28, 0xD8),
1933 MBEDTLS_BYTES_TO_T_UINT_8(0x3C, 0xF1, 0x7A, 0xA2, 0x42, 0x4C, 0x50, 0xC6),
1934 MBEDTLS_BYTES_TO_T_UINT_8(0x2D, 0x83, 0x3E, 0x50, 0xAB, 0x9C, 0xF7, 0x67),
1935 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0xED, 0x78, 0xCB, 0x76, 0x69, 0xDA, 0x42),
1936 MBEDTLS_BYTES_TO_T_UINT_8(0xDB, 0x01, 0x1E, 0x43, 0x27, 0x47, 0x6E, 0xDA),
1937 MBEDTLS_BYTES_TO_T_UINT_8(0x94, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001938};
1939static const mbedtls_mpi_uint secp521r1_T_22_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001940 MBEDTLS_BYTES_TO_T_UINT_8(0xD3, 0x4F, 0x54, 0xB9, 0x3E, 0xBD, 0xD5, 0x44),
1941 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0x35, 0x40, 0x69, 0x7F, 0x74, 0x9D, 0x32),
1942 MBEDTLS_BYTES_TO_T_UINT_8(0x5A, 0x06, 0x6F, 0x67, 0x68, 0x2B, 0x4D, 0x10),
1943 MBEDTLS_BYTES_TO_T_UINT_8(0xC6, 0x65, 0x41, 0xFC, 0x7C, 0x1E, 0xE8, 0xC8),
1944 MBEDTLS_BYTES_TO_T_UINT_8(0xF2, 0x79, 0x37, 0xAF, 0xFD, 0xD2, 0xDA, 0x4C),
1945 MBEDTLS_BYTES_TO_T_UINT_8(0x33, 0xA8, 0x69, 0x56, 0x62, 0xA4, 0xE4, 0xA3),
1946 MBEDTLS_BYTES_TO_T_UINT_8(0x42, 0x71, 0x73, 0x21, 0x8A, 0x17, 0x81, 0xA2),
1947 MBEDTLS_BYTES_TO_T_UINT_8(0x14, 0x55, 0x8F, 0x7B, 0xB8, 0xAF, 0xF7, 0x86),
1948 MBEDTLS_BYTES_TO_T_UINT_8(0xAA, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001949};
1950static const mbedtls_mpi_uint secp521r1_T_23_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001951 MBEDTLS_BYTES_TO_T_UINT_8(0x4B, 0xD1, 0xBD, 0xBE, 0x8C, 0xBC, 0x60, 0x6E),
1952 MBEDTLS_BYTES_TO_T_UINT_8(0x62, 0xA6, 0x57, 0x8C, 0xAE, 0x5C, 0x19, 0xFE),
1953 MBEDTLS_BYTES_TO_T_UINT_8(0x7A, 0x43, 0xE4, 0xD9, 0xD8, 0x7B, 0xE7, 0x41),
1954 MBEDTLS_BYTES_TO_T_UINT_8(0xED, 0xB9, 0xE4, 0x85, 0x7C, 0x2E, 0xFC, 0x20),
1955 MBEDTLS_BYTES_TO_T_UINT_8(0x02, 0x2E, 0x01, 0x2A, 0x6D, 0x56, 0xBE, 0x97),
1956 MBEDTLS_BYTES_TO_T_UINT_8(0x6A, 0x0C, 0x25, 0x9B, 0xAE, 0x86, 0x37, 0x43),
1957 MBEDTLS_BYTES_TO_T_UINT_8(0x4A, 0x22, 0xB3, 0xCB, 0x99, 0x66, 0xB7, 0x9E),
1958 MBEDTLS_BYTES_TO_T_UINT_8(0x56, 0xF7, 0x90, 0xF0, 0x1B, 0x09, 0x27, 0xF7),
1959 MBEDTLS_BYTES_TO_T_UINT_8(0xC8, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001960};
1961static const mbedtls_mpi_uint secp521r1_T_23_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001962 MBEDTLS_BYTES_TO_T_UINT_8(0x1C, 0x16, 0x08, 0xEF, 0x39, 0x64, 0x49, 0x31),
1963 MBEDTLS_BYTES_TO_T_UINT_8(0x08, 0xA0, 0xE3, 0x97, 0xA9, 0x07, 0x54, 0x26),
1964 MBEDTLS_BYTES_TO_T_UINT_8(0xCD, 0xFF, 0xE2, 0x00, 0x07, 0x21, 0x88, 0x20),
1965 MBEDTLS_BYTES_TO_T_UINT_8(0x16, 0xFD, 0x59, 0x53, 0x05, 0x6C, 0x42, 0x27),
1966 MBEDTLS_BYTES_TO_T_UINT_8(0x8F, 0xF7, 0x39, 0x5C, 0x82, 0x36, 0xE8, 0x03),
1967 MBEDTLS_BYTES_TO_T_UINT_8(0x2E, 0x83, 0xA8, 0xE2, 0xA8, 0x43, 0x07, 0x38),
1968 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0xAF, 0x2B, 0x79, 0xED, 0xD8, 0x39, 0x87),
1969 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0x20, 0x91, 0x7A, 0xC4, 0x07, 0xEF, 0x6C),
1970 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001971};
1972static const mbedtls_mpi_uint secp521r1_T_24_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001973 MBEDTLS_BYTES_TO_T_UINT_8(0x6A, 0x10, 0x2F, 0xAA, 0x0C, 0x94, 0x0E, 0x5A),
1974 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0x81, 0x87, 0x41, 0x23, 0xEB, 0x55, 0x7C),
1975 MBEDTLS_BYTES_TO_T_UINT_8(0xB8, 0x53, 0xCC, 0x79, 0xB6, 0xEB, 0x6C, 0xCC),
1976 MBEDTLS_BYTES_TO_T_UINT_8(0xF4, 0x77, 0x73, 0x9D, 0xFC, 0x64, 0x6F, 0x7F),
1977 MBEDTLS_BYTES_TO_T_UINT_8(0x3C, 0x40, 0xE3, 0x6D, 0x1C, 0x16, 0x71, 0x15),
1978 MBEDTLS_BYTES_TO_T_UINT_8(0x5A, 0xF4, 0x1B, 0xFF, 0x1C, 0x2F, 0xA5, 0xD7),
1979 MBEDTLS_BYTES_TO_T_UINT_8(0x06, 0x0E, 0x0B, 0x11, 0xF4, 0x8D, 0x93, 0xAF),
1980 MBEDTLS_BYTES_TO_T_UINT_8(0x58, 0xC5, 0x64, 0x6F, 0x24, 0x19, 0xF2, 0x9B),
1981 MBEDTLS_BYTES_TO_T_UINT_8(0x1C, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001982};
1983static const mbedtls_mpi_uint secp521r1_T_24_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001984 MBEDTLS_BYTES_TO_T_UINT_8(0x52, 0xB3, 0xAF, 0xA5, 0x0E, 0x4F, 0x5E, 0xE1),
1985 MBEDTLS_BYTES_TO_T_UINT_8(0x0F, 0x77, 0xCA, 0xF2, 0x6D, 0xC5, 0xF6, 0x9F),
1986 MBEDTLS_BYTES_TO_T_UINT_8(0x90, 0x18, 0x8E, 0x33, 0x68, 0x6C, 0xE8, 0xE0),
1987 MBEDTLS_BYTES_TO_T_UINT_8(0xFC, 0x8B, 0x80, 0x90, 0x19, 0x7F, 0x90, 0x96),
1988 MBEDTLS_BYTES_TO_T_UINT_8(0x5B, 0x80, 0x6B, 0x68, 0xE2, 0x7D, 0xD4, 0xD0),
1989 MBEDTLS_BYTES_TO_T_UINT_8(0x2A, 0xC1, 0x67, 0xB3, 0x72, 0xCB, 0xBF, 0x2F),
1990 MBEDTLS_BYTES_TO_T_UINT_8(0x4F, 0xD5, 0xD3, 0x1D, 0x14, 0x58, 0x0A, 0x80),
1991 MBEDTLS_BYTES_TO_T_UINT_8(0x79, 0x7A, 0x65, 0x98, 0xB3, 0x07, 0x4B, 0x2F),
1992 MBEDTLS_BYTES_TO_T_UINT_8(0xF3, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08001993};
1994static const mbedtls_mpi_uint secp521r1_T_25_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01001995 MBEDTLS_BYTES_TO_T_UINT_8(0x2A, 0x87, 0x0F, 0x5F, 0xCF, 0xA2, 0x01, 0x08),
1996 MBEDTLS_BYTES_TO_T_UINT_8(0x0C, 0xC9, 0xC8, 0x6E, 0x35, 0x87, 0xA5, 0x67),
1997 MBEDTLS_BYTES_TO_T_UINT_8(0x94, 0x3E, 0x91, 0xA0, 0xAB, 0x24, 0x1E, 0xF2),
1998 MBEDTLS_BYTES_TO_T_UINT_8(0xB9, 0xBC, 0x02, 0x35, 0x70, 0xC1, 0x5F, 0x98),
1999 MBEDTLS_BYTES_TO_T_UINT_8(0x26, 0x59, 0xA0, 0x50, 0x04, 0x80, 0x52, 0x85),
2000 MBEDTLS_BYTES_TO_T_UINT_8(0xF8, 0x56, 0x6E, 0x42, 0x8F, 0x8C, 0x91, 0x65),
2001 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0xA2, 0xCB, 0xA5, 0xDE, 0x14, 0x24, 0x38),
2002 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0xCB, 0x74, 0x28, 0xE6, 0xA7, 0xE7, 0xC3),
2003 MBEDTLS_BYTES_TO_T_UINT_8(0x5F, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002004};
2005static const mbedtls_mpi_uint secp521r1_T_25_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002006 MBEDTLS_BYTES_TO_T_UINT_8(0x35, 0x73, 0xA8, 0x8F, 0x9E, 0x0E, 0x63, 0x96),
2007 MBEDTLS_BYTES_TO_T_UINT_8(0xC8, 0x1B, 0x77, 0xC7, 0xC1, 0x38, 0xF9, 0xDC),
2008 MBEDTLS_BYTES_TO_T_UINT_8(0xD8, 0x3C, 0xCF, 0xA8, 0x7A, 0xD7, 0xF3, 0xC4),
2009 MBEDTLS_BYTES_TO_T_UINT_8(0xDD, 0x5F, 0x9A, 0xC9, 0xAD, 0xE9, 0x1A, 0x93),
2010 MBEDTLS_BYTES_TO_T_UINT_8(0xFC, 0xCF, 0x2B, 0x5E, 0xD5, 0x81, 0x95, 0xA8),
2011 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0x88, 0x75, 0x29, 0x1F, 0xC7, 0xC7, 0xD0),
2012 MBEDTLS_BYTES_TO_T_UINT_8(0xD8, 0xA9, 0x5A, 0x4D, 0x63, 0x95, 0xF9, 0x4E),
2013 MBEDTLS_BYTES_TO_T_UINT_8(0xEB, 0xCD, 0x04, 0x8F, 0xCD, 0x91, 0xDE, 0xC6),
2014 MBEDTLS_BYTES_TO_T_UINT_8(0x71, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002015};
2016static const mbedtls_mpi_uint secp521r1_T_26_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002017 MBEDTLS_BYTES_TO_T_UINT_8(0x88, 0xD4, 0xFD, 0x25, 0x11, 0x99, 0x6E, 0xEA),
2018 MBEDTLS_BYTES_TO_T_UINT_8(0xB0, 0x83, 0x01, 0x3D, 0xFB, 0x56, 0xA5, 0x4E),
2019 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0x3A, 0xDC, 0x74, 0xC2, 0xD7, 0xCF, 0xE8),
2020 MBEDTLS_BYTES_TO_T_UINT_8(0x8F, 0xBD, 0xF1, 0xDD, 0xA3, 0x07, 0x03, 0xE2),
2021 MBEDTLS_BYTES_TO_T_UINT_8(0x7B, 0xBE, 0xE9, 0x2E, 0x58, 0x84, 0x66, 0xFC),
2022 MBEDTLS_BYTES_TO_T_UINT_8(0x71, 0x20, 0x78, 0x37, 0x79, 0x0B, 0xA6, 0x64),
2023 MBEDTLS_BYTES_TO_T_UINT_8(0xE3, 0xF2, 0xAC, 0x65, 0xC8, 0xC9, 0x2F, 0x61),
2024 MBEDTLS_BYTES_TO_T_UINT_8(0x26, 0x93, 0xE5, 0x0D, 0x0C, 0xC6, 0xB8, 0xCB),
2025 MBEDTLS_BYTES_TO_T_UINT_8(0x9C, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002026};
2027static const mbedtls_mpi_uint secp521r1_T_26_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002028 MBEDTLS_BYTES_TO_T_UINT_8(0x69, 0xAD, 0x5C, 0x19, 0x12, 0x61, 0x0E, 0x25),
2029 MBEDTLS_BYTES_TO_T_UINT_8(0x39, 0x4F, 0x0B, 0x1F, 0x49, 0x7E, 0xCD, 0x81),
2030 MBEDTLS_BYTES_TO_T_UINT_8(0x46, 0x2E, 0x30, 0x61, 0xDB, 0x08, 0x68, 0x9B),
2031 MBEDTLS_BYTES_TO_T_UINT_8(0x41, 0x78, 0xAF, 0xB3, 0x08, 0xC1, 0x69, 0xE5),
2032 MBEDTLS_BYTES_TO_T_UINT_8(0xC4, 0x5F, 0x5D, 0xC1, 0x57, 0x6F, 0xD8, 0x34),
2033 MBEDTLS_BYTES_TO_T_UINT_8(0x38, 0xD3, 0x6A, 0xF7, 0xFD, 0x86, 0xE5, 0xB3),
2034 MBEDTLS_BYTES_TO_T_UINT_8(0xA8, 0x63, 0xBD, 0x70, 0x7B, 0x47, 0xE8, 0x6D),
2035 MBEDTLS_BYTES_TO_T_UINT_8(0x18, 0x62, 0xC8, 0x7E, 0x9D, 0x11, 0x2B, 0xA5),
2036 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002037};
2038static const mbedtls_mpi_uint secp521r1_T_27_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002039 MBEDTLS_BYTES_TO_T_UINT_8(0xE2, 0x84, 0xFD, 0xD5, 0x9A, 0x56, 0x7F, 0x5C),
2040 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0xBB, 0xA4, 0x6F, 0x12, 0x6E, 0x4D, 0xF8),
2041 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0x08, 0xA1, 0x82, 0x9C, 0x62, 0x74, 0x7B),
2042 MBEDTLS_BYTES_TO_T_UINT_8(0x9E, 0x58, 0x22, 0x05, 0x1D, 0x15, 0x35, 0x79),
2043 MBEDTLS_BYTES_TO_T_UINT_8(0x9A, 0x88, 0xCF, 0x5C, 0x05, 0x78, 0xFB, 0x94),
2044 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0x6B, 0x2F, 0x79, 0x09, 0x73, 0x67, 0xEC),
2045 MBEDTLS_BYTES_TO_T_UINT_8(0xD8, 0xA0, 0x80, 0xD8, 0xE8, 0xEC, 0xFB, 0x42),
2046 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0xE7, 0x0B, 0xB7, 0x81, 0x48, 0x7B, 0xD9),
2047 MBEDTLS_BYTES_TO_T_UINT_8(0xE3, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002048};
2049static const mbedtls_mpi_uint secp521r1_T_27_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002050 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0x53, 0xA9, 0xED, 0x61, 0x92, 0xD7, 0x85),
2051 MBEDTLS_BYTES_TO_T_UINT_8(0x26, 0x49, 0xD9, 0x5D, 0x9B, 0x4E, 0x89, 0x35),
2052 MBEDTLS_BYTES_TO_T_UINT_8(0xB8, 0x12, 0xEB, 0x9A, 0xC9, 0xCB, 0xC1, 0x95),
2053 MBEDTLS_BYTES_TO_T_UINT_8(0x35, 0xDC, 0x95, 0x16, 0xFE, 0x29, 0x70, 0x01),
2054 MBEDTLS_BYTES_TO_T_UINT_8(0x64, 0x33, 0xB1, 0xD6, 0x78, 0xB9, 0xE2, 0x36),
2055 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0xCE, 0x88, 0xC3, 0xFD, 0x7A, 0x6B, 0xB8),
2056 MBEDTLS_BYTES_TO_T_UINT_8(0x40, 0x1E, 0x50, 0x1E, 0xAF, 0xB1, 0x25, 0x2D),
2057 MBEDTLS_BYTES_TO_T_UINT_8(0xC1, 0xE7, 0xD7, 0xD5, 0xBD, 0x7A, 0x12, 0xF9),
2058 MBEDTLS_BYTES_TO_T_UINT_8(0x31, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002059};
2060static const mbedtls_mpi_uint secp521r1_T_28_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002061 MBEDTLS_BYTES_TO_T_UINT_8(0x22, 0xAA, 0xA2, 0x80, 0x5D, 0x8F, 0xCD, 0xC8),
2062 MBEDTLS_BYTES_TO_T_UINT_8(0x48, 0x39, 0x79, 0x64, 0xA1, 0x67, 0x3C, 0xB7),
2063 MBEDTLS_BYTES_TO_T_UINT_8(0x3D, 0xC7, 0x49, 0xFF, 0x7F, 0xAC, 0xAB, 0x55),
2064 MBEDTLS_BYTES_TO_T_UINT_8(0x81, 0x54, 0x3E, 0x83, 0xF0, 0x3D, 0xBC, 0xB5),
2065 MBEDTLS_BYTES_TO_T_UINT_8(0x87, 0x92, 0x4A, 0x38, 0x42, 0x8A, 0xAB, 0xF6),
2066 MBEDTLS_BYTES_TO_T_UINT_8(0xE7, 0x0B, 0x4F, 0xEE, 0x9E, 0x92, 0xA5, 0xBE),
2067 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0xDD, 0x19, 0x96, 0xF2, 0xF0, 0x6B, 0x2E),
2068 MBEDTLS_BYTES_TO_T_UINT_8(0xBE, 0xFC, 0xDD, 0xB2, 0x8A, 0xE5, 0x4C, 0x22),
2069 MBEDTLS_BYTES_TO_T_UINT_8(0xD4, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002070};
2071static const mbedtls_mpi_uint secp521r1_T_28_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002072 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0x06, 0x49, 0xAC, 0x99, 0x7E, 0xF8, 0x12),
2073 MBEDTLS_BYTES_TO_T_UINT_8(0x76, 0xC8, 0x01, 0x51, 0xEA, 0xF6, 0x52, 0xE7),
2074 MBEDTLS_BYTES_TO_T_UINT_8(0x43, 0x89, 0x66, 0x2B, 0x1F, 0x9B, 0x2A, 0xA3),
2075 MBEDTLS_BYTES_TO_T_UINT_8(0xDF, 0x0F, 0x95, 0x07, 0x2B, 0x6C, 0x6E, 0x9E),
2076 MBEDTLS_BYTES_TO_T_UINT_8(0x24, 0xC3, 0xB4, 0xBB, 0x91, 0x1F, 0xA3, 0x72),
2077 MBEDTLS_BYTES_TO_T_UINT_8(0x5F, 0x6E, 0x54, 0x28, 0x7B, 0x9C, 0x79, 0x2E),
2078 MBEDTLS_BYTES_TO_T_UINT_8(0x03, 0x45, 0xFF, 0xA6, 0xDA, 0xA2, 0x83, 0x71),
2079 MBEDTLS_BYTES_TO_T_UINT_8(0xEB, 0xDE, 0x8F, 0x17, 0x37, 0x82, 0xCB, 0xE2),
2080 MBEDTLS_BYTES_TO_T_UINT_8(0x30, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002081};
2082static const mbedtls_mpi_uint secp521r1_T_29_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002083 MBEDTLS_BYTES_TO_T_UINT_8(0xD8, 0x94, 0x3F, 0x26, 0xC9, 0x1D, 0xD9, 0xAE),
2084 MBEDTLS_BYTES_TO_T_UINT_8(0x09, 0x97, 0x28, 0x20, 0xCD, 0xC1, 0xF3, 0x40),
2085 MBEDTLS_BYTES_TO_T_UINT_8(0x95, 0xC9, 0xB5, 0x60, 0x9B, 0x1E, 0xDC, 0x74),
2086 MBEDTLS_BYTES_TO_T_UINT_8(0x5B, 0xB9, 0x5B, 0x7D, 0xA0, 0xB2, 0x8C, 0xF0),
2087 MBEDTLS_BYTES_TO_T_UINT_8(0x33, 0xD1, 0x42, 0xE6, 0x39, 0x33, 0x6D, 0xBB),
2088 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0xC0, 0xFC, 0xD2, 0x14, 0x5D, 0x3E, 0x3C),
2089 MBEDTLS_BYTES_TO_T_UINT_8(0x78, 0x4A, 0x3E, 0x40, 0x16, 0x93, 0x15, 0xCF),
2090 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0x24, 0xC1, 0x27, 0x27, 0xE5, 0x4B, 0xD8),
2091 MBEDTLS_BYTES_TO_T_UINT_8(0xD4, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002092};
2093static const mbedtls_mpi_uint secp521r1_T_29_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002094 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0x50, 0xD8, 0xBC, 0xC1, 0x46, 0x22, 0xBB),
2095 MBEDTLS_BYTES_TO_T_UINT_8(0xAD, 0x0E, 0x60, 0xA1, 0xB3, 0x50, 0xD4, 0x86),
2096 MBEDTLS_BYTES_TO_T_UINT_8(0x80, 0xB1, 0x26, 0xB6, 0x6D, 0x47, 0x5A, 0x6F),
2097 MBEDTLS_BYTES_TO_T_UINT_8(0x45, 0xAC, 0x11, 0x35, 0x3E, 0xB9, 0xF4, 0x01),
2098 MBEDTLS_BYTES_TO_T_UINT_8(0x58, 0x97, 0xFA, 0xBB, 0x6B, 0x39, 0x13, 0xD8),
2099 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0x7B, 0x34, 0x12, 0x75, 0x8E, 0x9B, 0xC6),
2100 MBEDTLS_BYTES_TO_T_UINT_8(0x2C, 0x9E, 0xCD, 0x29, 0xB6, 0xEF, 0x8D, 0x10),
2101 MBEDTLS_BYTES_TO_T_UINT_8(0x47, 0xAC, 0xE9, 0x25, 0x27, 0xBB, 0x78, 0x47),
2102 MBEDTLS_BYTES_TO_T_UINT_8(0x2F, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002103};
2104static const mbedtls_mpi_uint secp521r1_T_30_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002105 MBEDTLS_BYTES_TO_T_UINT_8(0x30, 0x7A, 0xA8, 0xD3, 0xE3, 0x66, 0xE5, 0x66),
2106 MBEDTLS_BYTES_TO_T_UINT_8(0x2F, 0x4C, 0xC4, 0x2C, 0x76, 0x81, 0x50, 0x32),
2107 MBEDTLS_BYTES_TO_T_UINT_8(0xEE, 0x71, 0x08, 0xB8, 0x52, 0x7C, 0xAF, 0xDC),
2108 MBEDTLS_BYTES_TO_T_UINT_8(0x45, 0x59, 0x24, 0xDD, 0xFB, 0x2F, 0xD0, 0xDA),
2109 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0xCD, 0x56, 0xE9, 0xAC, 0x91, 0xE6, 0xB9),
2110 MBEDTLS_BYTES_TO_T_UINT_8(0xE5, 0x64, 0x20, 0xC6, 0x9F, 0xE4, 0xEF, 0xDF),
2111 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0x2C, 0x8F, 0x8C, 0x97, 0xF6, 0x22, 0xC3),
2112 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0xF4, 0x88, 0xAA, 0xA8, 0xD7, 0xA5, 0x68),
2113 MBEDTLS_BYTES_TO_T_UINT_8(0xDE, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002114};
2115static const mbedtls_mpi_uint secp521r1_T_30_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002116 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0x6C, 0xAE, 0x83, 0xB1, 0x55, 0x55, 0xEE),
2117 MBEDTLS_BYTES_TO_T_UINT_8(0xB0, 0x67, 0x84, 0x47, 0x7C, 0x83, 0x5C, 0x89),
2118 MBEDTLS_BYTES_TO_T_UINT_8(0x5B, 0x10, 0x4D, 0xDD, 0x30, 0x60, 0xB0, 0xE6),
2119 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0xA7, 0x36, 0x76, 0x24, 0x32, 0x9F, 0x9D),
2120 MBEDTLS_BYTES_TO_T_UINT_8(0xDD, 0x42, 0x81, 0xFB, 0xA4, 0x2E, 0x13, 0x68),
2121 MBEDTLS_BYTES_TO_T_UINT_8(0x87, 0x94, 0x91, 0xFF, 0x99, 0xA0, 0x09, 0x61),
2122 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0x83, 0xA1, 0x76, 0xAF, 0x37, 0x5C, 0x77),
2123 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0xA8, 0x04, 0x86, 0xC4, 0xA9, 0x79, 0x42),
2124 MBEDTLS_BYTES_TO_T_UINT_8(0x93, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002125};
2126static const mbedtls_mpi_uint secp521r1_T_31_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002127 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x8C, 0xC2, 0x34, 0xFB, 0x83, 0x28, 0x27),
2128 MBEDTLS_BYTES_TO_T_UINT_8(0xA4, 0x03, 0x7D, 0x5E, 0x9E, 0x0E, 0xB0, 0x22),
2129 MBEDTLS_BYTES_TO_T_UINT_8(0xA2, 0x02, 0x46, 0x7F, 0xB9, 0xAC, 0xBB, 0x23),
2130 MBEDTLS_BYTES_TO_T_UINT_8(0x06, 0xED, 0x48, 0xC2, 0x96, 0x4D, 0x56, 0x27),
2131 MBEDTLS_BYTES_TO_T_UINT_8(0x44, 0xB5, 0xC5, 0xD1, 0xE6, 0x1C, 0x7E, 0x9B),
2132 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0x2E, 0x18, 0x71, 0x2D, 0x7B, 0xD7, 0xB3),
2133 MBEDTLS_BYTES_TO_T_UINT_8(0xAB, 0x46, 0x9D, 0xDE, 0xAA, 0x78, 0x8E, 0xB1),
2134 MBEDTLS_BYTES_TO_T_UINT_8(0x4D, 0xD7, 0x69, 0x2E, 0xE1, 0xD9, 0x48, 0xDE),
2135 MBEDTLS_BYTES_TO_T_UINT_8(0xFB, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002136};
2137static const mbedtls_mpi_uint secp521r1_T_31_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002138 MBEDTLS_BYTES_TO_T_UINT_8(0xAF, 0xFF, 0x9E, 0x09, 0x22, 0x22, 0xE6, 0x8D),
2139 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x14, 0x28, 0x13, 0x1B, 0x62, 0x12, 0x22),
2140 MBEDTLS_BYTES_TO_T_UINT_8(0xCC, 0x7F, 0x67, 0x03, 0xB0, 0xC0, 0xF3, 0x05),
2141 MBEDTLS_BYTES_TO_T_UINT_8(0xC0, 0xC3, 0x0F, 0xFB, 0x25, 0x48, 0x3E, 0xF4),
2142 MBEDTLS_BYTES_TO_T_UINT_8(0x0B, 0x6E, 0x53, 0x98, 0x36, 0xB3, 0xD3, 0x94),
2143 MBEDTLS_BYTES_TO_T_UINT_8(0xEB, 0x81, 0x54, 0x22, 0xA4, 0xCC, 0xC1, 0x22),
2144 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0xBA, 0xFC, 0xA9, 0xDF, 0x68, 0x86, 0x2B),
2145 MBEDTLS_BYTES_TO_T_UINT_8(0x71, 0x92, 0x0E, 0xC3, 0xF2, 0x58, 0xE8, 0x51),
2146 MBEDTLS_BYTES_TO_T_UINT_8(0xE9, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002147};
2148static const mbedtls_ecp_point secp521r1_T[32] = {
2149 ECP_POINT_INIT_XY_Z1(secp521r1_T_0_X, secp521r1_T_0_Y),
2150 ECP_POINT_INIT_XY_Z0(secp521r1_T_1_X, secp521r1_T_1_Y),
2151 ECP_POINT_INIT_XY_Z0(secp521r1_T_2_X, secp521r1_T_2_Y),
2152 ECP_POINT_INIT_XY_Z0(secp521r1_T_3_X, secp521r1_T_3_Y),
2153 ECP_POINT_INIT_XY_Z0(secp521r1_T_4_X, secp521r1_T_4_Y),
2154 ECP_POINT_INIT_XY_Z0(secp521r1_T_5_X, secp521r1_T_5_Y),
2155 ECP_POINT_INIT_XY_Z0(secp521r1_T_6_X, secp521r1_T_6_Y),
2156 ECP_POINT_INIT_XY_Z0(secp521r1_T_7_X, secp521r1_T_7_Y),
2157 ECP_POINT_INIT_XY_Z0(secp521r1_T_8_X, secp521r1_T_8_Y),
2158 ECP_POINT_INIT_XY_Z0(secp521r1_T_9_X, secp521r1_T_9_Y),
2159 ECP_POINT_INIT_XY_Z0(secp521r1_T_10_X, secp521r1_T_10_Y),
2160 ECP_POINT_INIT_XY_Z0(secp521r1_T_11_X, secp521r1_T_11_Y),
2161 ECP_POINT_INIT_XY_Z0(secp521r1_T_12_X, secp521r1_T_12_Y),
2162 ECP_POINT_INIT_XY_Z0(secp521r1_T_13_X, secp521r1_T_13_Y),
2163 ECP_POINT_INIT_XY_Z0(secp521r1_T_14_X, secp521r1_T_14_Y),
2164 ECP_POINT_INIT_XY_Z0(secp521r1_T_15_X, secp521r1_T_15_Y),
2165 ECP_POINT_INIT_XY_Z0(secp521r1_T_16_X, secp521r1_T_16_Y),
2166 ECP_POINT_INIT_XY_Z0(secp521r1_T_17_X, secp521r1_T_17_Y),
2167 ECP_POINT_INIT_XY_Z0(secp521r1_T_18_X, secp521r1_T_18_Y),
2168 ECP_POINT_INIT_XY_Z0(secp521r1_T_19_X, secp521r1_T_19_Y),
2169 ECP_POINT_INIT_XY_Z0(secp521r1_T_20_X, secp521r1_T_20_Y),
2170 ECP_POINT_INIT_XY_Z0(secp521r1_T_21_X, secp521r1_T_21_Y),
2171 ECP_POINT_INIT_XY_Z0(secp521r1_T_22_X, secp521r1_T_22_Y),
2172 ECP_POINT_INIT_XY_Z0(secp521r1_T_23_X, secp521r1_T_23_Y),
2173 ECP_POINT_INIT_XY_Z0(secp521r1_T_24_X, secp521r1_T_24_Y),
2174 ECP_POINT_INIT_XY_Z0(secp521r1_T_25_X, secp521r1_T_25_Y),
2175 ECP_POINT_INIT_XY_Z0(secp521r1_T_26_X, secp521r1_T_26_Y),
2176 ECP_POINT_INIT_XY_Z0(secp521r1_T_27_X, secp521r1_T_27_Y),
2177 ECP_POINT_INIT_XY_Z0(secp521r1_T_28_X, secp521r1_T_28_Y),
2178 ECP_POINT_INIT_XY_Z0(secp521r1_T_29_X, secp521r1_T_29_Y),
2179 ECP_POINT_INIT_XY_Z0(secp521r1_T_30_X, secp521r1_T_30_Y),
2180 ECP_POINT_INIT_XY_Z0(secp521r1_T_31_X, secp521r1_T_31_Y),
2181};
2182#else
2183#define secp521r1_T NULL
2184#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002185#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01002186
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002187#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
2188static const mbedtls_mpi_uint secp192k1_p[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002189 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0xEE, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF),
2190 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
2191 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002192};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002193static const mbedtls_mpi_uint secp192k1_a[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002194 MBEDTLS_BYTES_TO_T_UINT_2(0x00, 0x00),
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002195};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002196static const mbedtls_mpi_uint secp192k1_b[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002197 MBEDTLS_BYTES_TO_T_UINT_2(0x03, 0x00),
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002198};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002199static const mbedtls_mpi_uint secp192k1_gx[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002200 MBEDTLS_BYTES_TO_T_UINT_8(0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D),
2201 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26),
2202 MBEDTLS_BYTES_TO_T_UINT_8(0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB),
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002203};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002204static const mbedtls_mpi_uint secp192k1_gy[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002205 MBEDTLS_BYTES_TO_T_UINT_8(0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40),
2206 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84),
2207 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B),
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002208};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002209static const mbedtls_mpi_uint secp192k1_n[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002210 MBEDTLS_BYTES_TO_T_UINT_8(0x8D, 0xFD, 0xDE, 0x74, 0x6A, 0x46, 0x69, 0x0F),
2211 MBEDTLS_BYTES_TO_T_UINT_8(0x17, 0xFC, 0xF2, 0x26, 0xFE, 0xFF, 0xFF, 0xFF),
2212 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002213};
kXuanba9cb762021-04-08 14:32:06 +08002214
2215#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
2216static const mbedtls_mpi_uint secp192k1_T_0_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002217 MBEDTLS_BYTES_TO_T_UINT_8(0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D),
2218 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26),
2219 MBEDTLS_BYTES_TO_T_UINT_8(0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB),
kXuanba9cb762021-04-08 14:32:06 +08002220};
2221static const mbedtls_mpi_uint secp192k1_T_0_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002222 MBEDTLS_BYTES_TO_T_UINT_8(0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40),
2223 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84),
2224 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B),
kXuanba9cb762021-04-08 14:32:06 +08002225};
2226static const mbedtls_mpi_uint secp192k1_T_1_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002227 MBEDTLS_BYTES_TO_T_UINT_8(0x6F, 0x77, 0x3D, 0x0D, 0x85, 0x48, 0xA8, 0xA9),
2228 MBEDTLS_BYTES_TO_T_UINT_8(0x62, 0x07, 0xDF, 0x1D, 0xB3, 0xB3, 0x01, 0x54),
2229 MBEDTLS_BYTES_TO_T_UINT_8(0x05, 0x86, 0xF6, 0xAF, 0x19, 0x2A, 0x88, 0x2E),
kXuanba9cb762021-04-08 14:32:06 +08002230};
2231static const mbedtls_mpi_uint secp192k1_T_1_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002232 MBEDTLS_BYTES_TO_T_UINT_8(0x33, 0x90, 0xB6, 0x2F, 0x48, 0x36, 0x4C, 0x5B),
2233 MBEDTLS_BYTES_TO_T_UINT_8(0xDB, 0x11, 0x14, 0xA6, 0xCB, 0xBA, 0x15, 0xD9),
2234 MBEDTLS_BYTES_TO_T_UINT_8(0x7E, 0xB0, 0xF2, 0xD4, 0xC9, 0xDA, 0xBA, 0xD7),
kXuanba9cb762021-04-08 14:32:06 +08002235};
2236static const mbedtls_mpi_uint secp192k1_T_2_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002237 MBEDTLS_BYTES_TO_T_UINT_8(0xE4, 0xC1, 0x9C, 0xE6, 0xBB, 0xFB, 0xCF, 0x23),
2238 MBEDTLS_BYTES_TO_T_UINT_8(0x93, 0x19, 0xAC, 0x5A, 0xC9, 0x8A, 0x1C, 0x75),
2239 MBEDTLS_BYTES_TO_T_UINT_8(0xC1, 0xF6, 0x76, 0x86, 0x89, 0x27, 0x8D, 0x28),
kXuanba9cb762021-04-08 14:32:06 +08002240};
2241static const mbedtls_mpi_uint secp192k1_T_2_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002242 MBEDTLS_BYTES_TO_T_UINT_8(0x4B, 0xE0, 0x6F, 0x34, 0xBA, 0x5E, 0xD3, 0x96),
2243 MBEDTLS_BYTES_TO_T_UINT_8(0x6A, 0xDC, 0xA6, 0x87, 0xC9, 0x9D, 0xC0, 0x82),
2244 MBEDTLS_BYTES_TO_T_UINT_8(0x09, 0x11, 0x7E, 0xD6, 0xF7, 0x33, 0xFC, 0xE4),
kXuanba9cb762021-04-08 14:32:06 +08002245};
2246static const mbedtls_mpi_uint secp192k1_T_3_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002247 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0x37, 0x3E, 0xC0, 0x7F, 0x62, 0xE7, 0x54),
2248 MBEDTLS_BYTES_TO_T_UINT_8(0xA5, 0x3B, 0x69, 0x9D, 0x44, 0xBC, 0x82, 0x99),
2249 MBEDTLS_BYTES_TO_T_UINT_8(0xD4, 0x84, 0xB3, 0x5F, 0x2B, 0xA5, 0x9E, 0x2C),
kXuanba9cb762021-04-08 14:32:06 +08002250};
2251static const mbedtls_mpi_uint secp192k1_T_3_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002252 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0x95, 0xEB, 0x4C, 0x04, 0xB4, 0xF4, 0x75),
2253 MBEDTLS_BYTES_TO_T_UINT_8(0x55, 0xAD, 0x4B, 0xD5, 0x9A, 0xEB, 0xC4, 0x4E),
2254 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0xB1, 0xC5, 0x59, 0xE3, 0xD5, 0x16, 0x2A),
kXuanba9cb762021-04-08 14:32:06 +08002255};
2256static const mbedtls_mpi_uint secp192k1_T_4_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002257 MBEDTLS_BYTES_TO_T_UINT_8(0x48, 0x2A, 0xCC, 0xAC, 0xD0, 0xEE, 0x50, 0xEC),
2258 MBEDTLS_BYTES_TO_T_UINT_8(0x99, 0x83, 0xE0, 0x5B, 0x14, 0x44, 0x52, 0x20),
2259 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0x15, 0x2D, 0x78, 0xF6, 0x51, 0x32, 0xCF),
kXuanba9cb762021-04-08 14:32:06 +08002260};
2261static const mbedtls_mpi_uint secp192k1_T_4_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002262 MBEDTLS_BYTES_TO_T_UINT_8(0x86, 0x36, 0x9B, 0xDD, 0xF8, 0xDD, 0xEF, 0xB2),
2263 MBEDTLS_BYTES_TO_T_UINT_8(0x0B, 0xB1, 0x6A, 0x2B, 0xAF, 0xEB, 0x2B, 0xB1),
2264 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0x87, 0x7A, 0x66, 0x5D, 0x5B, 0xDF, 0x8F),
kXuanba9cb762021-04-08 14:32:06 +08002265};
2266static const mbedtls_mpi_uint secp192k1_T_5_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002267 MBEDTLS_BYTES_TO_T_UINT_8(0x62, 0x45, 0xE5, 0x81, 0x9B, 0xEB, 0x37, 0x23),
2268 MBEDTLS_BYTES_TO_T_UINT_8(0xB3, 0x29, 0xE2, 0x20, 0x64, 0x23, 0x6B, 0x6E),
2269 MBEDTLS_BYTES_TO_T_UINT_8(0xFE, 0x1D, 0x41, 0xE1, 0x9B, 0x61, 0x7B, 0xD9),
kXuanba9cb762021-04-08 14:32:06 +08002270};
2271static const mbedtls_mpi_uint secp192k1_T_5_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002272 MBEDTLS_BYTES_TO_T_UINT_8(0x75, 0x57, 0xA3, 0x0A, 0x13, 0xE4, 0x59, 0x15),
2273 MBEDTLS_BYTES_TO_T_UINT_8(0x79, 0x6E, 0x4A, 0x48, 0x84, 0x90, 0xAC, 0xC7),
2274 MBEDTLS_BYTES_TO_T_UINT_8(0x9C, 0xB8, 0xF5, 0xF3, 0xDE, 0xA0, 0xA1, 0x1D),
kXuanba9cb762021-04-08 14:32:06 +08002275};
2276static const mbedtls_mpi_uint secp192k1_T_6_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002277 MBEDTLS_BYTES_TO_T_UINT_8(0xA3, 0x32, 0x81, 0xA9, 0x91, 0x5A, 0x4E, 0x33),
2278 MBEDTLS_BYTES_TO_T_UINT_8(0xCB, 0xA8, 0x90, 0xBE, 0x0F, 0xEC, 0xC0, 0x85),
2279 MBEDTLS_BYTES_TO_T_UINT_8(0x80, 0x30, 0xD7, 0x08, 0xAE, 0xC4, 0x3A, 0xA5),
kXuanba9cb762021-04-08 14:32:06 +08002280};
2281static const mbedtls_mpi_uint secp192k1_T_6_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002282 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0x55, 0xE3, 0x76, 0xB3, 0x64, 0x74, 0x9F),
2283 MBEDTLS_BYTES_TO_T_UINT_8(0x3F, 0x75, 0xD4, 0xDB, 0x98, 0xD7, 0x39, 0xAE),
2284 MBEDTLS_BYTES_TO_T_UINT_8(0xD4, 0xEB, 0x8A, 0xAB, 0x16, 0xD9, 0xD4, 0x0B),
kXuanba9cb762021-04-08 14:32:06 +08002285};
2286static const mbedtls_mpi_uint secp192k1_T_7_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002287 MBEDTLS_BYTES_TO_T_UINT_8(0x41, 0xBE, 0xF9, 0xC7, 0xC7, 0xBA, 0xF3, 0xA1),
2288 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0x85, 0x59, 0xF3, 0x60, 0x41, 0x02, 0xD2),
2289 MBEDTLS_BYTES_TO_T_UINT_8(0x46, 0x1C, 0x4A, 0xA4, 0xC7, 0xED, 0x66, 0xBC),
kXuanba9cb762021-04-08 14:32:06 +08002290};
2291static const mbedtls_mpi_uint secp192k1_T_7_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002292 MBEDTLS_BYTES_TO_T_UINT_8(0xC3, 0x9C, 0x2E, 0x46, 0x52, 0x18, 0x87, 0x14),
2293 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0x35, 0x5A, 0x75, 0xAC, 0x4D, 0x75, 0x91),
2294 MBEDTLS_BYTES_TO_T_UINT_8(0xCE, 0x2F, 0xAC, 0xFC, 0xBC, 0xE6, 0x93, 0x5E),
kXuanba9cb762021-04-08 14:32:06 +08002295};
2296static const mbedtls_mpi_uint secp192k1_T_8_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002297 MBEDTLS_BYTES_TO_T_UINT_8(0x87, 0x4D, 0xC9, 0x18, 0xE9, 0x00, 0xEB, 0x33),
2298 MBEDTLS_BYTES_TO_T_UINT_8(0x1A, 0x69, 0x72, 0x07, 0x5A, 0x59, 0xA8, 0x26),
2299 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x65, 0x83, 0x20, 0x10, 0xF9, 0x69, 0x82),
kXuanba9cb762021-04-08 14:32:06 +08002300};
2301static const mbedtls_mpi_uint secp192k1_T_8_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002302 MBEDTLS_BYTES_TO_T_UINT_8(0x8B, 0x56, 0x7F, 0x9F, 0xBF, 0x46, 0x0C, 0x7E),
2303 MBEDTLS_BYTES_TO_T_UINT_8(0xFC, 0xCF, 0xF0, 0xDC, 0xDF, 0x2D, 0xE6, 0xE5),
2304 MBEDTLS_BYTES_TO_T_UINT_8(0x09, 0xF0, 0x72, 0x3A, 0x7A, 0x03, 0xE5, 0x22),
kXuanba9cb762021-04-08 14:32:06 +08002305};
2306static const mbedtls_mpi_uint secp192k1_T_9_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002307 MBEDTLS_BYTES_TO_T_UINT_8(0x3E, 0xAA, 0x57, 0x13, 0x37, 0xA7, 0x2C, 0xD4),
2308 MBEDTLS_BYTES_TO_T_UINT_8(0xA3, 0xAC, 0xA2, 0x23, 0xF9, 0x84, 0x60, 0xD3),
2309 MBEDTLS_BYTES_TO_T_UINT_8(0x32, 0xEB, 0x51, 0x70, 0x64, 0x78, 0xCA, 0x05),
kXuanba9cb762021-04-08 14:32:06 +08002310};
2311static const mbedtls_mpi_uint secp192k1_T_9_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002312 MBEDTLS_BYTES_TO_T_UINT_8(0x91, 0xCC, 0x30, 0x62, 0x93, 0x46, 0x13, 0xE9),
2313 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0x26, 0xCC, 0x6C, 0x3D, 0x5C, 0xDA, 0x2C),
2314 MBEDTLS_BYTES_TO_T_UINT_8(0xD5, 0xAA, 0xB8, 0x03, 0xA4, 0x1A, 0x00, 0x96),
kXuanba9cb762021-04-08 14:32:06 +08002315};
2316static const mbedtls_mpi_uint secp192k1_T_10_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002317 MBEDTLS_BYTES_TO_T_UINT_8(0xF9, 0x9D, 0xE6, 0xCC, 0x4E, 0x2E, 0xC2, 0xD5),
2318 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0xC3, 0x8A, 0xAE, 0x6F, 0x40, 0x05, 0xEB),
2319 MBEDTLS_BYTES_TO_T_UINT_8(0x9D, 0x8F, 0x4A, 0x4D, 0x35, 0xD3, 0x50, 0x9D),
kXuanba9cb762021-04-08 14:32:06 +08002320};
2321static const mbedtls_mpi_uint secp192k1_T_10_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002322 MBEDTLS_BYTES_TO_T_UINT_8(0x1F, 0xFD, 0x98, 0xAB, 0xC7, 0x03, 0xB4, 0x55),
2323 MBEDTLS_BYTES_TO_T_UINT_8(0x40, 0x40, 0xD2, 0x9F, 0xCA, 0xD0, 0x53, 0x00),
2324 MBEDTLS_BYTES_TO_T_UINT_8(0x1A, 0x84, 0x00, 0x6F, 0xC8, 0xAD, 0xED, 0x8D),
kXuanba9cb762021-04-08 14:32:06 +08002325};
2326static const mbedtls_mpi_uint secp192k1_T_11_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002327 MBEDTLS_BYTES_TO_T_UINT_8(0xCE, 0xD3, 0x57, 0xD7, 0xC3, 0x07, 0xBD, 0xD7),
2328 MBEDTLS_BYTES_TO_T_UINT_8(0x67, 0xBA, 0x47, 0x1D, 0x3D, 0xEF, 0x98, 0x6C),
2329 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0xC0, 0x6C, 0x7F, 0x12, 0xEE, 0x9F, 0x67),
kXuanba9cb762021-04-08 14:32:06 +08002330};
2331static const mbedtls_mpi_uint secp192k1_T_11_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002332 MBEDTLS_BYTES_TO_T_UINT_8(0xCA, 0x02, 0xDA, 0x79, 0xAA, 0xC9, 0x27, 0xC4),
2333 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0x79, 0xC7, 0x71, 0x84, 0xCB, 0xE5, 0x5A),
2334 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0x37, 0x06, 0xBA, 0xB5, 0xD5, 0x18, 0x4C),
kXuanba9cb762021-04-08 14:32:06 +08002335};
2336static const mbedtls_mpi_uint secp192k1_T_12_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002337 MBEDTLS_BYTES_TO_T_UINT_8(0xA1, 0x65, 0x72, 0x6C, 0xF2, 0x63, 0x27, 0x6A),
2338 MBEDTLS_BYTES_TO_T_UINT_8(0x69, 0xBC, 0x71, 0xDF, 0x75, 0xF8, 0x98, 0x4D),
2339 MBEDTLS_BYTES_TO_T_UINT_8(0x70, 0x70, 0x9B, 0xDC, 0xE7, 0x18, 0x71, 0xFF),
kXuanba9cb762021-04-08 14:32:06 +08002340};
2341static const mbedtls_mpi_uint secp192k1_T_12_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002342 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0x5B, 0x9F, 0x00, 0x5A, 0xB6, 0x80, 0x7A),
2343 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0xE0, 0xBB, 0xFC, 0x5E, 0x78, 0x9C, 0x89),
2344 MBEDTLS_BYTES_TO_T_UINT_8(0x60, 0x03, 0x68, 0x83, 0x3D, 0x2E, 0x4C, 0xDD),
kXuanba9cb762021-04-08 14:32:06 +08002345};
2346static const mbedtls_mpi_uint secp192k1_T_13_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002347 MBEDTLS_BYTES_TO_T_UINT_8(0x3B, 0x49, 0x23, 0xA8, 0xCB, 0x3B, 0x1A, 0xF6),
2348 MBEDTLS_BYTES_TO_T_UINT_8(0x8B, 0x3D, 0xA7, 0x46, 0xCF, 0x75, 0xB6, 0x2C),
2349 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0xFD, 0x30, 0x01, 0xB6, 0xEF, 0xF9, 0xE8),
kXuanba9cb762021-04-08 14:32:06 +08002350};
2351static const mbedtls_mpi_uint secp192k1_T_13_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002352 MBEDTLS_BYTES_TO_T_UINT_8(0xDC, 0xFA, 0xDA, 0xB8, 0x29, 0x42, 0xC9, 0xC7),
2353 MBEDTLS_BYTES_TO_T_UINT_8(0x06, 0xD7, 0xA0, 0xE6, 0x6B, 0x86, 0x61, 0x39),
2354 MBEDTLS_BYTES_TO_T_UINT_8(0xDB, 0xE9, 0xD3, 0x37, 0xD8, 0xE7, 0x35, 0xA9),
kXuanba9cb762021-04-08 14:32:06 +08002355};
2356static const mbedtls_mpi_uint secp192k1_T_14_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002357 MBEDTLS_BYTES_TO_T_UINT_8(0xFD, 0xC8, 0x8E, 0xB1, 0xCB, 0xB1, 0xB5, 0x4D),
2358 MBEDTLS_BYTES_TO_T_UINT_8(0x16, 0xD7, 0x46, 0x7D, 0xAF, 0xE2, 0xDC, 0xBB),
2359 MBEDTLS_BYTES_TO_T_UINT_8(0xD0, 0x46, 0xE7, 0xD8, 0x76, 0x31, 0x90, 0x76),
kXuanba9cb762021-04-08 14:32:06 +08002360};
2361static const mbedtls_mpi_uint secp192k1_T_14_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002362 MBEDTLS_BYTES_TO_T_UINT_8(0xEB, 0xD3, 0xF4, 0x74, 0xE1, 0x67, 0xD8, 0x66),
2363 MBEDTLS_BYTES_TO_T_UINT_8(0xE7, 0x70, 0x3C, 0xC8, 0xAF, 0x5F, 0xF4, 0x58),
2364 MBEDTLS_BYTES_TO_T_UINT_8(0x24, 0x4E, 0xED, 0x5C, 0x43, 0xB3, 0x16, 0x35),
kXuanba9cb762021-04-08 14:32:06 +08002365};
2366static const mbedtls_mpi_uint secp192k1_T_15_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002367 MBEDTLS_BYTES_TO_T_UINT_8(0x57, 0xAE, 0xD1, 0xDD, 0x31, 0x14, 0xD3, 0xF0),
2368 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0x14, 0x06, 0x13, 0x12, 0x1C, 0x81, 0xF5),
2369 MBEDTLS_BYTES_TO_T_UINT_8(0xA6, 0xF9, 0x0C, 0x91, 0xF7, 0x67, 0x59, 0x63),
kXuanba9cb762021-04-08 14:32:06 +08002370};
2371static const mbedtls_mpi_uint secp192k1_T_15_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002372 MBEDTLS_BYTES_TO_T_UINT_8(0xAB, 0x91, 0xE2, 0xF4, 0x9D, 0xEB, 0x88, 0x87),
2373 MBEDTLS_BYTES_TO_T_UINT_8(0xDB, 0x82, 0x30, 0x9C, 0xAE, 0x18, 0x4D, 0xB7),
2374 MBEDTLS_BYTES_TO_T_UINT_8(0x3C, 0x79, 0xCF, 0x17, 0xA5, 0x1E, 0xE8, 0xC8),
kXuanba9cb762021-04-08 14:32:06 +08002375};
2376static const mbedtls_ecp_point secp192k1_T[16] = {
2377 ECP_POINT_INIT_XY_Z1(secp192k1_T_0_X, secp192k1_T_0_Y),
2378 ECP_POINT_INIT_XY_Z0(secp192k1_T_1_X, secp192k1_T_1_Y),
2379 ECP_POINT_INIT_XY_Z0(secp192k1_T_2_X, secp192k1_T_2_Y),
2380 ECP_POINT_INIT_XY_Z0(secp192k1_T_3_X, secp192k1_T_3_Y),
2381 ECP_POINT_INIT_XY_Z0(secp192k1_T_4_X, secp192k1_T_4_Y),
2382 ECP_POINT_INIT_XY_Z0(secp192k1_T_5_X, secp192k1_T_5_Y),
2383 ECP_POINT_INIT_XY_Z0(secp192k1_T_6_X, secp192k1_T_6_Y),
2384 ECP_POINT_INIT_XY_Z0(secp192k1_T_7_X, secp192k1_T_7_Y),
2385 ECP_POINT_INIT_XY_Z0(secp192k1_T_8_X, secp192k1_T_8_Y),
2386 ECP_POINT_INIT_XY_Z0(secp192k1_T_9_X, secp192k1_T_9_Y),
2387 ECP_POINT_INIT_XY_Z0(secp192k1_T_10_X, secp192k1_T_10_Y),
2388 ECP_POINT_INIT_XY_Z0(secp192k1_T_11_X, secp192k1_T_11_Y),
2389 ECP_POINT_INIT_XY_Z0(secp192k1_T_12_X, secp192k1_T_12_Y),
2390 ECP_POINT_INIT_XY_Z0(secp192k1_T_13_X, secp192k1_T_13_Y),
2391 ECP_POINT_INIT_XY_Z0(secp192k1_T_14_X, secp192k1_T_14_Y),
2392 ECP_POINT_INIT_XY_Z0(secp192k1_T_15_X, secp192k1_T_15_Y),
2393};
2394#else
2395#define secp192k1_T NULL
2396#endif
2397
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002398#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002399
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002400#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
2401static const mbedtls_mpi_uint secp224k1_p[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002402 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0xE5, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF),
2403 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
2404 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
2405 MBEDTLS_BYTES_TO_T_UINT_4(0xFF, 0xFF, 0xFF, 0xFF),
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002406};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002407static const mbedtls_mpi_uint secp224k1_a[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002408 MBEDTLS_BYTES_TO_T_UINT_2(0x00, 0x00),
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002409};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002410static const mbedtls_mpi_uint secp224k1_b[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002411 MBEDTLS_BYTES_TO_T_UINT_2(0x05, 0x00),
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002412};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002413static const mbedtls_mpi_uint secp224k1_gx[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002414 MBEDTLS_BYTES_TO_T_UINT_8(0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F),
2415 MBEDTLS_BYTES_TO_T_UINT_8(0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69),
2416 MBEDTLS_BYTES_TO_T_UINT_8(0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D),
2417 MBEDTLS_BYTES_TO_T_UINT_4(0x33, 0x5B, 0x45, 0xA1),
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002418};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002419static const mbedtls_mpi_uint secp224k1_gy[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002420 MBEDTLS_BYTES_TO_T_UINT_8(0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2),
2421 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7),
2422 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F),
2423 MBEDTLS_BYTES_TO_T_UINT_4(0xED, 0x9F, 0x08, 0x7E),
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002424};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002425static const mbedtls_mpi_uint secp224k1_n[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002426 MBEDTLS_BYTES_TO_T_UINT_8(0xF7, 0xB1, 0x9F, 0x76, 0x71, 0xA9, 0xF0, 0xCA),
2427 MBEDTLS_BYTES_TO_T_UINT_8(0x84, 0x61, 0xEC, 0xD2, 0xE8, 0xDC, 0x01, 0x00),
2428 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00),
2429 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00),
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002430};
kXuanba9cb762021-04-08 14:32:06 +08002431
2432#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
2433static const mbedtls_mpi_uint secp224k1_T_0_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002434 MBEDTLS_BYTES_TO_T_UINT_8(0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F),
2435 MBEDTLS_BYTES_TO_T_UINT_8(0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69),
2436 MBEDTLS_BYTES_TO_T_UINT_8(0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D),
2437 MBEDTLS_BYTES_TO_T_UINT_8(0x33, 0x5B, 0x45, 0xA1, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002438};
2439static const mbedtls_mpi_uint secp224k1_T_0_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002440 MBEDTLS_BYTES_TO_T_UINT_8(0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2),
2441 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7),
2442 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F),
2443 MBEDTLS_BYTES_TO_T_UINT_8(0xED, 0x9F, 0x08, 0x7E, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002444};
2445static const mbedtls_mpi_uint secp224k1_T_1_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002446 MBEDTLS_BYTES_TO_T_UINT_8(0x99, 0x6C, 0x22, 0x22, 0x40, 0x89, 0xAE, 0x7A),
2447 MBEDTLS_BYTES_TO_T_UINT_8(0x2F, 0x92, 0xE1, 0x87, 0x56, 0x35, 0xAF, 0x9B),
2448 MBEDTLS_BYTES_TO_T_UINT_8(0x88, 0xAF, 0x08, 0x35, 0x27, 0xEA, 0x04, 0xED),
2449 MBEDTLS_BYTES_TO_T_UINT_8(0xF0, 0x53, 0xFD, 0xCF, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002450};
2451static const mbedtls_mpi_uint secp224k1_T_1_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002452 MBEDTLS_BYTES_TO_T_UINT_8(0xC1, 0xD0, 0x9F, 0x8D, 0xF3, 0x63, 0x54, 0x30),
2453 MBEDTLS_BYTES_TO_T_UINT_8(0x39, 0xDB, 0x0F, 0x61, 0x54, 0x26, 0xD1, 0x98),
2454 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0x21, 0xF7, 0x1B, 0xB5, 0x1D, 0xF6, 0x7E),
2455 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0x05, 0xDA, 0x8F, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002456};
2457static const mbedtls_mpi_uint secp224k1_T_2_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002458 MBEDTLS_BYTES_TO_T_UINT_8(0x10, 0x26, 0x73, 0xBC, 0xE4, 0x29, 0x62, 0x56),
2459 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0x95, 0x17, 0x8B, 0xC3, 0x9B, 0xAC, 0xCC),
2460 MBEDTLS_BYTES_TO_T_UINT_8(0xB1, 0xDB, 0x77, 0xDF, 0xDD, 0x13, 0x04, 0x98),
2461 MBEDTLS_BYTES_TO_T_UINT_8(0x02, 0xFC, 0x22, 0x93, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002462};
2463static const mbedtls_mpi_uint secp224k1_T_2_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002464 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0x65, 0xF1, 0x5A, 0x37, 0xEF, 0x79, 0xAD),
2465 MBEDTLS_BYTES_TO_T_UINT_8(0x99, 0x01, 0x37, 0xAC, 0x9A, 0x5B, 0x51, 0x65),
2466 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0x75, 0x13, 0xA9, 0x4A, 0xAD, 0xFE, 0x9B),
2467 MBEDTLS_BYTES_TO_T_UINT_8(0x32, 0x82, 0x6F, 0x66, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002468};
2469static const mbedtls_mpi_uint secp224k1_T_3_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002470 MBEDTLS_BYTES_TO_T_UINT_8(0x4D, 0x5E, 0xF0, 0x40, 0xC3, 0xA6, 0xE2, 0x1E),
2471 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0x9A, 0x6F, 0xCF, 0x11, 0x26, 0x66, 0x85),
2472 MBEDTLS_BYTES_TO_T_UINT_8(0x79, 0x73, 0xA8, 0xCF, 0x2B, 0x12, 0x36, 0x37),
2473 MBEDTLS_BYTES_TO_T_UINT_8(0xB9, 0xB3, 0x0A, 0x58, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002474};
2475static const mbedtls_mpi_uint secp224k1_T_3_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002476 MBEDTLS_BYTES_TO_T_UINT_8(0xD3, 0x79, 0x00, 0x55, 0x04, 0x34, 0x90, 0x1A),
2477 MBEDTLS_BYTES_TO_T_UINT_8(0x0A, 0x54, 0x1C, 0xC2, 0x45, 0x0C, 0x1B, 0x23),
2478 MBEDTLS_BYTES_TO_T_UINT_8(0x86, 0x19, 0xAB, 0xA8, 0xFC, 0x73, 0xDC, 0xEE),
2479 MBEDTLS_BYTES_TO_T_UINT_8(0x72, 0xFB, 0x93, 0xCE, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002480};
2481static const mbedtls_mpi_uint secp224k1_T_4_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002482 MBEDTLS_BYTES_TO_T_UINT_8(0xF8, 0x75, 0xD0, 0x66, 0x95, 0x86, 0xCA, 0x66),
2483 MBEDTLS_BYTES_TO_T_UINT_8(0x17, 0xEA, 0x29, 0x16, 0x6A, 0x38, 0xDF, 0x41),
2484 MBEDTLS_BYTES_TO_T_UINT_8(0xD8, 0xA2, 0x36, 0x2F, 0xDC, 0xBB, 0x5E, 0xF7),
2485 MBEDTLS_BYTES_TO_T_UINT_8(0xD4, 0x89, 0x59, 0x49, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002486};
2487static const mbedtls_mpi_uint secp224k1_T_4_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002488 MBEDTLS_BYTES_TO_T_UINT_8(0xCA, 0xA3, 0x99, 0x9D, 0xB8, 0x77, 0x9D, 0x1D),
2489 MBEDTLS_BYTES_TO_T_UINT_8(0x0A, 0x93, 0x43, 0x47, 0xC6, 0x5C, 0xF9, 0xFD),
2490 MBEDTLS_BYTES_TO_T_UINT_8(0xAA, 0x00, 0x79, 0x42, 0x64, 0xB8, 0x25, 0x3E),
2491 MBEDTLS_BYTES_TO_T_UINT_8(0x29, 0x54, 0xB4, 0x33, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002492};
2493static const mbedtls_mpi_uint secp224k1_T_5_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002494 MBEDTLS_BYTES_TO_T_UINT_8(0xD9, 0x0C, 0x42, 0x90, 0x83, 0x0B, 0x31, 0x5F),
2495 MBEDTLS_BYTES_TO_T_UINT_8(0x54, 0x2E, 0xAE, 0xC8, 0xC7, 0x5F, 0xD2, 0x70),
2496 MBEDTLS_BYTES_TO_T_UINT_8(0xA9, 0xBC, 0xAD, 0x41, 0xE7, 0x32, 0x3A, 0x81),
2497 MBEDTLS_BYTES_TO_T_UINT_8(0x8A, 0x97, 0x52, 0x83, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002498};
2499static const mbedtls_mpi_uint secp224k1_T_5_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002500 MBEDTLS_BYTES_TO_T_UINT_8(0x1A, 0x13, 0x7A, 0xBD, 0xAE, 0x94, 0x60, 0xFD),
2501 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0x9B, 0x95, 0xB4, 0x6E, 0x68, 0xB2, 0x1F),
2502 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0x49, 0xBE, 0x51, 0xFE, 0x66, 0x15, 0x74),
2503 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0x37, 0xE4, 0xFE, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002504};
2505static const mbedtls_mpi_uint secp224k1_T_6_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002506 MBEDTLS_BYTES_TO_T_UINT_8(0xF6, 0x9B, 0xEE, 0x64, 0xC9, 0x1B, 0xBD, 0x77),
2507 MBEDTLS_BYTES_TO_T_UINT_8(0xDA, 0x5F, 0x34, 0xA9, 0x0B, 0xB7, 0x25, 0x52),
2508 MBEDTLS_BYTES_TO_T_UINT_8(0x90, 0x13, 0xB1, 0x38, 0xFB, 0x9D, 0x78, 0xED),
2509 MBEDTLS_BYTES_TO_T_UINT_8(0x39, 0xE7, 0x1B, 0xFA, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002510};
2511static const mbedtls_mpi_uint secp224k1_T_6_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002512 MBEDTLS_BYTES_TO_T_UINT_8(0xFB, 0xB3, 0xB7, 0x44, 0x92, 0x6B, 0x00, 0x82),
2513 MBEDTLS_BYTES_TO_T_UINT_8(0x97, 0x82, 0x44, 0x3E, 0x18, 0x1A, 0x58, 0x6A),
2514 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0xF8, 0xC0, 0xE4, 0xEE, 0xC1, 0xBF, 0x44),
2515 MBEDTLS_BYTES_TO_T_UINT_8(0x7E, 0x32, 0x27, 0xB2, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002516};
2517static const mbedtls_mpi_uint secp224k1_T_7_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002518 MBEDTLS_BYTES_TO_T_UINT_8(0xF4, 0x9A, 0x42, 0x62, 0x8B, 0x26, 0x54, 0x21),
2519 MBEDTLS_BYTES_TO_T_UINT_8(0x24, 0x85, 0x74, 0xA0, 0x79, 0xA8, 0xEE, 0xBE),
2520 MBEDTLS_BYTES_TO_T_UINT_8(0x80, 0x36, 0x60, 0xB3, 0x28, 0x4D, 0x55, 0xBE),
2521 MBEDTLS_BYTES_TO_T_UINT_8(0x32, 0x27, 0x82, 0x29, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002522};
2523static const mbedtls_mpi_uint secp224k1_T_7_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002524 MBEDTLS_BYTES_TO_T_UINT_8(0x0D, 0xFC, 0x73, 0x77, 0xAF, 0x5C, 0xAC, 0x78),
2525 MBEDTLS_BYTES_TO_T_UINT_8(0xCC, 0xED, 0xE5, 0xF6, 0x1D, 0xA8, 0x67, 0x43),
2526 MBEDTLS_BYTES_TO_T_UINT_8(0xF8, 0xDE, 0x33, 0x1C, 0xF1, 0x80, 0x73, 0xF8),
2527 MBEDTLS_BYTES_TO_T_UINT_8(0x2A, 0xE2, 0xDE, 0x3C, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002528};
2529static const mbedtls_mpi_uint secp224k1_T_8_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002530 MBEDTLS_BYTES_TO_T_UINT_8(0x57, 0x3E, 0x6B, 0xFE, 0xF0, 0x04, 0x28, 0x01),
2531 MBEDTLS_BYTES_TO_T_UINT_8(0xBB, 0xB2, 0x14, 0x9D, 0x18, 0x11, 0x7D, 0x9D),
2532 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0xC4, 0xD6, 0x2E, 0x6E, 0x57, 0x4D, 0xE1),
2533 MBEDTLS_BYTES_TO_T_UINT_8(0xEA, 0x55, 0x1B, 0xDE, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002534};
2535static const mbedtls_mpi_uint secp224k1_T_8_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002536 MBEDTLS_BYTES_TO_T_UINT_8(0x07, 0xF7, 0x17, 0xBC, 0x45, 0xAB, 0x16, 0xAB),
2537 MBEDTLS_BYTES_TO_T_UINT_8(0xCD, 0xB0, 0xEF, 0x61, 0xE3, 0x20, 0x7C, 0xF8),
2538 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x85, 0x41, 0x4D, 0xF1, 0x7E, 0x4D, 0x41),
2539 MBEDTLS_BYTES_TO_T_UINT_8(0x99, 0xC2, 0x9B, 0x5E, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002540};
2541static const mbedtls_mpi_uint secp224k1_T_9_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002542 MBEDTLS_BYTES_TO_T_UINT_8(0x70, 0x2E, 0x49, 0x3D, 0x3E, 0x4B, 0xD3, 0x32),
2543 MBEDTLS_BYTES_TO_T_UINT_8(0xC8, 0x2B, 0x9D, 0xD5, 0x27, 0xFA, 0xCA, 0xE0),
2544 MBEDTLS_BYTES_TO_T_UINT_8(0xB3, 0xB3, 0x6A, 0xE0, 0x79, 0x14, 0x28, 0x0F),
2545 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x1E, 0xDC, 0xF5, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002546};
2547static const mbedtls_mpi_uint secp224k1_T_9_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002548 MBEDTLS_BYTES_TO_T_UINT_8(0xCA, 0x44, 0x56, 0xCD, 0xFC, 0x9F, 0x09, 0xFF),
2549 MBEDTLS_BYTES_TO_T_UINT_8(0x5C, 0x8C, 0x59, 0xA4, 0x64, 0x2A, 0x3A, 0xED),
2550 MBEDTLS_BYTES_TO_T_UINT_8(0x40, 0xA0, 0xB5, 0x86, 0x4E, 0x69, 0xDA, 0x06),
2551 MBEDTLS_BYTES_TO_T_UINT_8(0x08, 0x8B, 0x11, 0x38, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002552};
2553static const mbedtls_mpi_uint secp224k1_T_10_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002554 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0x17, 0x16, 0x12, 0x17, 0xDC, 0x00, 0x7E),
2555 MBEDTLS_BYTES_TO_T_UINT_8(0xE7, 0x76, 0x24, 0x6C, 0x97, 0x2C, 0xB5, 0xF9),
2556 MBEDTLS_BYTES_TO_T_UINT_8(0x82, 0x71, 0xE3, 0xB0, 0xBB, 0x4E, 0x50, 0x52),
2557 MBEDTLS_BYTES_TO_T_UINT_8(0x6E, 0x48, 0x26, 0xD5, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002558};
2559static const mbedtls_mpi_uint secp224k1_T_10_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002560 MBEDTLS_BYTES_TO_T_UINT_8(0x06, 0x5F, 0x28, 0xF6, 0x01, 0x5A, 0x60, 0x41),
2561 MBEDTLS_BYTES_TO_T_UINT_8(0xAE, 0x95, 0xFE, 0xD0, 0xAD, 0x15, 0xD4, 0xD9),
2562 MBEDTLS_BYTES_TO_T_UINT_8(0xAD, 0x5B, 0x7A, 0xFD, 0x80, 0xF7, 0x9F, 0x64),
2563 MBEDTLS_BYTES_TO_T_UINT_8(0x32, 0xBC, 0x1B, 0xDF, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002564};
2565static const mbedtls_mpi_uint secp224k1_T_11_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002566 MBEDTLS_BYTES_TO_T_UINT_8(0xBB, 0xE6, 0xDF, 0x14, 0x29, 0xF4, 0xD4, 0x14),
2567 MBEDTLS_BYTES_TO_T_UINT_8(0xE5, 0x12, 0xDD, 0xEC, 0x5B, 0x8A, 0x59, 0xE5),
2568 MBEDTLS_BYTES_TO_T_UINT_8(0x26, 0x92, 0x3E, 0x35, 0x08, 0xE9, 0xCF, 0x0E),
2569 MBEDTLS_BYTES_TO_T_UINT_8(0xE0, 0x35, 0x29, 0x97, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002570};
2571static const mbedtls_mpi_uint secp224k1_T_11_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002572 MBEDTLS_BYTES_TO_T_UINT_8(0x11, 0xDB, 0xD6, 0x6A, 0xC5, 0x43, 0xA4, 0xA1),
2573 MBEDTLS_BYTES_TO_T_UINT_8(0x61, 0x33, 0x50, 0x61, 0x70, 0xA1, 0xE9, 0xCE),
2574 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0x15, 0x6E, 0x5F, 0x01, 0x0C, 0x8C, 0xFA),
2575 MBEDTLS_BYTES_TO_T_UINT_8(0x85, 0xA1, 0x9A, 0x9D, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002576};
2577static const mbedtls_mpi_uint secp224k1_T_12_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002578 MBEDTLS_BYTES_TO_T_UINT_8(0x6E, 0xC6, 0xF7, 0xE2, 0x4A, 0xCD, 0x9B, 0x61),
2579 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0x4D, 0x5A, 0xB8, 0xE2, 0x6D, 0xA6, 0x50),
2580 MBEDTLS_BYTES_TO_T_UINT_8(0x32, 0x3F, 0xB6, 0x17, 0xE3, 0x2C, 0x6F, 0x65),
2581 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0xA4, 0x59, 0x51, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002582};
2583static const mbedtls_mpi_uint secp224k1_T_12_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002584 MBEDTLS_BYTES_TO_T_UINT_8(0x77, 0x4F, 0x7C, 0x49, 0xCD, 0x6E, 0xEB, 0x3C),
2585 MBEDTLS_BYTES_TO_T_UINT_8(0x05, 0xC9, 0x1F, 0xB7, 0x4D, 0x98, 0xC7, 0x67),
2586 MBEDTLS_BYTES_TO_T_UINT_8(0x4C, 0xFD, 0x98, 0x20, 0x95, 0xBB, 0x20, 0x3A),
2587 MBEDTLS_BYTES_TO_T_UINT_8(0xE0, 0xF2, 0x73, 0x92, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002588};
2589static const mbedtls_mpi_uint secp224k1_T_13_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002590 MBEDTLS_BYTES_TO_T_UINT_8(0xE2, 0xEF, 0xFB, 0x30, 0xFA, 0x12, 0x1A, 0xB0),
2591 MBEDTLS_BYTES_TO_T_UINT_8(0x7A, 0x4C, 0x24, 0xB4, 0x5B, 0xC9, 0x4C, 0x0F),
2592 MBEDTLS_BYTES_TO_T_UINT_8(0x7A, 0xDD, 0x5E, 0x84, 0x95, 0x4D, 0x26, 0xED),
2593 MBEDTLS_BYTES_TO_T_UINT_8(0xE3, 0xFA, 0xF9, 0x3A, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002594};
2595static const mbedtls_mpi_uint secp224k1_T_13_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002596 MBEDTLS_BYTES_TO_T_UINT_8(0x6A, 0xA3, 0x2E, 0x7A, 0xDC, 0xA7, 0x53, 0xA9),
2597 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0x9F, 0x81, 0x84, 0xB2, 0x0D, 0xFE, 0x31),
2598 MBEDTLS_BYTES_TO_T_UINT_8(0x61, 0x89, 0x1B, 0x77, 0x0C, 0x89, 0x71, 0xEC),
2599 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0xFF, 0x7F, 0xB2, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002600};
2601static const mbedtls_mpi_uint secp224k1_T_14_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002602 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0xE9, 0x2C, 0x79, 0xA6, 0x3C, 0xAD, 0x93),
2603 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0xE0, 0x23, 0x02, 0x86, 0x0F, 0x77, 0x2A),
2604 MBEDTLS_BYTES_TO_T_UINT_8(0x13, 0x93, 0x6D, 0xE9, 0xF9, 0x3C, 0xBE, 0xB9),
2605 MBEDTLS_BYTES_TO_T_UINT_8(0x04, 0xE7, 0x24, 0x92, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002606};
2607static const mbedtls_mpi_uint secp224k1_T_14_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002608 MBEDTLS_BYTES_TO_T_UINT_8(0xBB, 0x3C, 0x5B, 0x4B, 0x1B, 0x25, 0x37, 0xD6),
2609 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0xE8, 0x38, 0x1B, 0xA1, 0x5A, 0x2E, 0x68),
2610 MBEDTLS_BYTES_TO_T_UINT_8(0x03, 0x19, 0xFD, 0xF4, 0x78, 0x01, 0x6B, 0x44),
2611 MBEDTLS_BYTES_TO_T_UINT_8(0x0F, 0x69, 0x37, 0x4F, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002612};
2613static const mbedtls_mpi_uint secp224k1_T_15_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002614 MBEDTLS_BYTES_TO_T_UINT_8(0x1A, 0xE2, 0xBF, 0xD3, 0xEC, 0x95, 0x9C, 0x03),
2615 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0x7B, 0xFC, 0xD5, 0xD3, 0x25, 0x5E, 0x0F),
2616 MBEDTLS_BYTES_TO_T_UINT_8(0x39, 0x55, 0x09, 0xA2, 0x58, 0x6A, 0xC9, 0xFF),
2617 MBEDTLS_BYTES_TO_T_UINT_8(0x80, 0xCC, 0x3B, 0xD9, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002618};
2619static const mbedtls_mpi_uint secp224k1_T_15_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002620 MBEDTLS_BYTES_TO_T_UINT_8(0x8F, 0x08, 0x65, 0x5E, 0xCB, 0xAB, 0x48, 0xC8),
2621 MBEDTLS_BYTES_TO_T_UINT_8(0xEE, 0x79, 0x8B, 0xC0, 0x11, 0xC0, 0x69, 0x38),
2622 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0xE8, 0x8C, 0x4C, 0xC5, 0x28, 0xE4, 0xAE),
2623 MBEDTLS_BYTES_TO_T_UINT_8(0xA5, 0x1F, 0x34, 0x5C, 0x00, 0x00, 0x00, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08002624};
2625static const mbedtls_ecp_point secp224k1_T[16] = {
2626 ECP_POINT_INIT_XY_Z1(secp224k1_T_0_X, secp224k1_T_0_Y),
2627 ECP_POINT_INIT_XY_Z0(secp224k1_T_1_X, secp224k1_T_1_Y),
2628 ECP_POINT_INIT_XY_Z0(secp224k1_T_2_X, secp224k1_T_2_Y),
2629 ECP_POINT_INIT_XY_Z0(secp224k1_T_3_X, secp224k1_T_3_Y),
2630 ECP_POINT_INIT_XY_Z0(secp224k1_T_4_X, secp224k1_T_4_Y),
2631 ECP_POINT_INIT_XY_Z0(secp224k1_T_5_X, secp224k1_T_5_Y),
2632 ECP_POINT_INIT_XY_Z0(secp224k1_T_6_X, secp224k1_T_6_Y),
2633 ECP_POINT_INIT_XY_Z0(secp224k1_T_7_X, secp224k1_T_7_Y),
2634 ECP_POINT_INIT_XY_Z0(secp224k1_T_8_X, secp224k1_T_8_Y),
2635 ECP_POINT_INIT_XY_Z0(secp224k1_T_9_X, secp224k1_T_9_Y),
2636 ECP_POINT_INIT_XY_Z0(secp224k1_T_10_X, secp224k1_T_10_Y),
2637 ECP_POINT_INIT_XY_Z0(secp224k1_T_11_X, secp224k1_T_11_Y),
2638 ECP_POINT_INIT_XY_Z0(secp224k1_T_12_X, secp224k1_T_12_Y),
2639 ECP_POINT_INIT_XY_Z0(secp224k1_T_13_X, secp224k1_T_13_Y),
2640 ECP_POINT_INIT_XY_Z0(secp224k1_T_14_X, secp224k1_T_14_Y),
2641 ECP_POINT_INIT_XY_Z0(secp224k1_T_15_X, secp224k1_T_15_Y),
2642};
2643#else
2644#define secp224k1_T NULL
2645#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002646#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002647
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002648#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
2649static const mbedtls_mpi_uint secp256k1_p[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002650 MBEDTLS_BYTES_TO_T_UINT_8(0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF),
2651 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
2652 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
2653 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002654};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002655static const mbedtls_mpi_uint secp256k1_a[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002656 MBEDTLS_BYTES_TO_T_UINT_2(0x00, 0x00),
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002657};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002658static const mbedtls_mpi_uint secp256k1_b[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002659 MBEDTLS_BYTES_TO_T_UINT_2(0x07, 0x00),
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002660};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002661static const mbedtls_mpi_uint secp256k1_gx[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002662 MBEDTLS_BYTES_TO_T_UINT_8(0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59),
2663 MBEDTLS_BYTES_TO_T_UINT_8(0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02),
2664 MBEDTLS_BYTES_TO_T_UINT_8(0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55),
2665 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79),
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002666};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002667static const mbedtls_mpi_uint secp256k1_gy[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002668 MBEDTLS_BYTES_TO_T_UINT_8(0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C),
2669 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD),
2670 MBEDTLS_BYTES_TO_T_UINT_8(0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D),
2671 MBEDTLS_BYTES_TO_T_UINT_8(0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48),
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002672};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002673static const mbedtls_mpi_uint secp256k1_n[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002674 MBEDTLS_BYTES_TO_T_UINT_8(0x41, 0x41, 0x36, 0xD0, 0x8C, 0x5E, 0xD2, 0xBF),
2675 MBEDTLS_BYTES_TO_T_UINT_8(0x3B, 0xA0, 0x48, 0xAF, 0xE6, 0xDC, 0xAE, 0xBA),
2676 MBEDTLS_BYTES_TO_T_UINT_8(0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
2677 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF),
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002678};
kXuanba9cb762021-04-08 14:32:06 +08002679
2680#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
2681static const mbedtls_mpi_uint secp256k1_T_0_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002682 MBEDTLS_BYTES_TO_T_UINT_8(0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59),
2683 MBEDTLS_BYTES_TO_T_UINT_8(0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02),
2684 MBEDTLS_BYTES_TO_T_UINT_8(0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55),
2685 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79),
kXuanba9cb762021-04-08 14:32:06 +08002686};
2687static const mbedtls_mpi_uint secp256k1_T_0_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002688 MBEDTLS_BYTES_TO_T_UINT_8(0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C),
2689 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD),
2690 MBEDTLS_BYTES_TO_T_UINT_8(0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D),
2691 MBEDTLS_BYTES_TO_T_UINT_8(0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48),
kXuanba9cb762021-04-08 14:32:06 +08002692};
2693static const mbedtls_mpi_uint secp256k1_T_1_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002694 MBEDTLS_BYTES_TO_T_UINT_8(0xE7, 0xEE, 0xD7, 0x1E, 0x67, 0x86, 0x32, 0x74),
2695 MBEDTLS_BYTES_TO_T_UINT_8(0x23, 0x73, 0xB1, 0xA9, 0xD5, 0xCC, 0x27, 0x78),
2696 MBEDTLS_BYTES_TO_T_UINT_8(0x1F, 0x0E, 0x11, 0x01, 0x71, 0xFE, 0x92, 0x73),
2697 MBEDTLS_BYTES_TO_T_UINT_8(0xC6, 0x28, 0x63, 0x6D, 0x72, 0x09, 0xA6, 0xC0),
kXuanba9cb762021-04-08 14:32:06 +08002698};
2699static const mbedtls_mpi_uint secp256k1_T_1_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002700 MBEDTLS_BYTES_TO_T_UINT_8(0xCE, 0xE1, 0x69, 0xDC, 0x3E, 0x2C, 0x75, 0xC3),
2701 MBEDTLS_BYTES_TO_T_UINT_8(0xE5, 0xB7, 0x3F, 0x30, 0x26, 0x3C, 0xDF, 0x8E),
2702 MBEDTLS_BYTES_TO_T_UINT_8(0x3D, 0xBE, 0xB9, 0x5D, 0x0E, 0xE8, 0x5E, 0x14),
2703 MBEDTLS_BYTES_TO_T_UINT_8(0x01, 0xC3, 0x05, 0xD6, 0xB7, 0xD5, 0x24, 0xFC),
kXuanba9cb762021-04-08 14:32:06 +08002704};
2705static const mbedtls_mpi_uint secp256k1_T_2_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002706 MBEDTLS_BYTES_TO_T_UINT_8(0x13, 0xCF, 0x7B, 0xDC, 0xCD, 0xC3, 0x39, 0x9D),
2707 MBEDTLS_BYTES_TO_T_UINT_8(0x42, 0xDA, 0xB9, 0xE5, 0x64, 0xA7, 0x47, 0x91),
2708 MBEDTLS_BYTES_TO_T_UINT_8(0x76, 0x46, 0xA8, 0x61, 0xF6, 0x23, 0xEB, 0x58),
2709 MBEDTLS_BYTES_TO_T_UINT_8(0x5C, 0xC1, 0xFF, 0xE4, 0x55, 0xD5, 0xC2, 0xBF),
kXuanba9cb762021-04-08 14:32:06 +08002710};
2711static const mbedtls_mpi_uint secp256k1_T_2_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002712 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0xBE, 0xB9, 0x59, 0x24, 0x13, 0x4A, 0x2A),
2713 MBEDTLS_BYTES_TO_T_UINT_8(0x64, 0x45, 0x12, 0xDE, 0xBA, 0x4F, 0xEF, 0x56),
2714 MBEDTLS_BYTES_TO_T_UINT_8(0xBE, 0x08, 0xBF, 0xC1, 0x66, 0xAA, 0x0A, 0xBC),
2715 MBEDTLS_BYTES_TO_T_UINT_8(0x36, 0xFE, 0x30, 0x55, 0x31, 0x86, 0xA7, 0xB4),
kXuanba9cb762021-04-08 14:32:06 +08002716};
2717static const mbedtls_mpi_uint secp256k1_T_3_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002718 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0xBF, 0x18, 0x81, 0x67, 0x27, 0x42, 0xBD),
2719 MBEDTLS_BYTES_TO_T_UINT_8(0x08, 0x05, 0x83, 0xA4, 0xDD, 0x57, 0xD3, 0x50),
2720 MBEDTLS_BYTES_TO_T_UINT_8(0x20, 0x63, 0xAB, 0xE4, 0x90, 0x70, 0xD0, 0x7C),
2721 MBEDTLS_BYTES_TO_T_UINT_8(0x71, 0x5D, 0xFD, 0xA0, 0xEF, 0xCF, 0x1C, 0x54),
kXuanba9cb762021-04-08 14:32:06 +08002722};
2723static const mbedtls_mpi_uint secp256k1_T_3_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002724 MBEDTLS_BYTES_TO_T_UINT_8(0x13, 0x80, 0xE4, 0xF6, 0x09, 0xBC, 0x57, 0x90),
2725 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0x9F, 0x6E, 0x88, 0x54, 0x6E, 0x51, 0xF2),
2726 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0x5F, 0x85, 0xFB, 0x84, 0x3E, 0x4A, 0xAA),
2727 MBEDTLS_BYTES_TO_T_UINT_8(0xA8, 0x19, 0xF5, 0x55, 0xC9, 0x07, 0xD8, 0xCE),
kXuanba9cb762021-04-08 14:32:06 +08002728};
2729static const mbedtls_mpi_uint secp256k1_T_4_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002730 MBEDTLS_BYTES_TO_T_UINT_8(0x1A, 0xB4, 0xC3, 0xD9, 0x5C, 0xA0, 0xD4, 0x90),
2731 MBEDTLS_BYTES_TO_T_UINT_8(0x0D, 0x30, 0xAF, 0x59, 0x9B, 0xF8, 0x04, 0x85),
2732 MBEDTLS_BYTES_TO_T_UINT_8(0x4D, 0xA6, 0xFD, 0x66, 0x7B, 0xC3, 0x39, 0x85),
2733 MBEDTLS_BYTES_TO_T_UINT_8(0xE0, 0xBF, 0xF0, 0xC2, 0xE9, 0x71, 0xA4, 0x9E),
kXuanba9cb762021-04-08 14:32:06 +08002734};
2735static const mbedtls_mpi_uint secp256k1_T_4_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002736 MBEDTLS_BYTES_TO_T_UINT_8(0x14, 0x2D, 0xB9, 0x88, 0x28, 0xF1, 0xBE, 0x78),
2737 MBEDTLS_BYTES_TO_T_UINT_8(0x14, 0xF3, 0x1A, 0x0E, 0xB9, 0x01, 0x66, 0x34),
2738 MBEDTLS_BYTES_TO_T_UINT_8(0x77, 0xA7, 0xA4, 0xF4, 0x05, 0xD0, 0xAA, 0x53),
2739 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x39, 0x1E, 0x47, 0xE5, 0x68, 0xC8, 0xC0),
kXuanba9cb762021-04-08 14:32:06 +08002740};
2741static const mbedtls_mpi_uint secp256k1_T_5_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002742 MBEDTLS_BYTES_TO_T_UINT_8(0xDD, 0xB9, 0xFC, 0xE0, 0x33, 0x8A, 0x7D, 0x96),
2743 MBEDTLS_BYTES_TO_T_UINT_8(0x4F, 0x93, 0xA5, 0x53, 0x55, 0x16, 0xB4, 0x6E),
2744 MBEDTLS_BYTES_TO_T_UINT_8(0xE9, 0x5F, 0xEA, 0x9B, 0x29, 0x52, 0x71, 0xDA),
2745 MBEDTLS_BYTES_TO_T_UINT_8(0xB2, 0xF0, 0x24, 0xB8, 0x7D, 0xB7, 0xA0, 0x9B),
kXuanba9cb762021-04-08 14:32:06 +08002746};
2747static const mbedtls_mpi_uint secp256k1_T_5_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002748 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0x00, 0x27, 0xB2, 0xDF, 0x73, 0xA2, 0xE0),
2749 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0x2E, 0x4D, 0x7C, 0xDE, 0x7A, 0x23, 0x32),
2750 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0x65, 0x60, 0xC7, 0x97, 0x1E, 0xA4, 0x22),
2751 MBEDTLS_BYTES_TO_T_UINT_8(0xCD, 0x13, 0x5B, 0x77, 0x59, 0xCB, 0x36, 0xE1),
kXuanba9cb762021-04-08 14:32:06 +08002752};
2753static const mbedtls_mpi_uint secp256k1_T_6_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002754 MBEDTLS_BYTES_TO_T_UINT_8(0x99, 0xBC, 0x9F, 0x9E, 0x2D, 0x53, 0x2A, 0xA8),
2755 MBEDTLS_BYTES_TO_T_UINT_8(0x87, 0x5F, 0x64, 0x9F, 0x1A, 0x19, 0xE6, 0x77),
2756 MBEDTLS_BYTES_TO_T_UINT_8(0x9E, 0x7B, 0x39, 0xD2, 0xDB, 0x85, 0x84, 0xD5),
2757 MBEDTLS_BYTES_TO_T_UINT_8(0x83, 0xC7, 0x0D, 0x58, 0x6E, 0x3F, 0x52, 0x15),
kXuanba9cb762021-04-08 14:32:06 +08002758};
2759static const mbedtls_mpi_uint secp256k1_T_6_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002760 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0x68, 0x19, 0x0B, 0x68, 0xC9, 0x1E, 0xFB),
2761 MBEDTLS_BYTES_TO_T_UINT_8(0xD2, 0x4E, 0x21, 0x49, 0x3D, 0x55, 0xCC, 0x25),
2762 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0xF9, 0x25, 0x45, 0x54, 0x45, 0xB1, 0x0F),
2763 MBEDTLS_BYTES_TO_T_UINT_8(0xA9, 0xB3, 0xF7, 0xCD, 0x80, 0xA4, 0x04, 0x05),
kXuanba9cb762021-04-08 14:32:06 +08002764};
2765static const mbedtls_mpi_uint secp256k1_T_7_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002766 MBEDTLS_BYTES_TO_T_UINT_8(0xD4, 0x1E, 0x88, 0xC4, 0xAA, 0x18, 0x7E, 0x45),
2767 MBEDTLS_BYTES_TO_T_UINT_8(0x4B, 0xAC, 0xD9, 0xB2, 0xA1, 0xC0, 0x71, 0x5D),
2768 MBEDTLS_BYTES_TO_T_UINT_8(0xA9, 0xA2, 0xF1, 0x15, 0xA6, 0x5F, 0x6C, 0x86),
2769 MBEDTLS_BYTES_TO_T_UINT_8(0x4F, 0x5B, 0x05, 0xBC, 0xB7, 0xC6, 0x4E, 0x72),
kXuanba9cb762021-04-08 14:32:06 +08002770};
2771static const mbedtls_mpi_uint secp256k1_T_7_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002772 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0x80, 0xF8, 0x5C, 0x20, 0x2A, 0xE1, 0xE2),
2773 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0x48, 0x2E, 0x68, 0x82, 0x7F, 0xEB, 0x5F),
2774 MBEDTLS_BYTES_TO_T_UINT_8(0xA2, 0x3B, 0x25, 0xDB, 0x32, 0x4D, 0x88, 0x42),
2775 MBEDTLS_BYTES_TO_T_UINT_8(0xEE, 0x6E, 0xA6, 0xB6, 0x6D, 0x62, 0x78, 0x22),
kXuanba9cb762021-04-08 14:32:06 +08002776};
2777static const mbedtls_mpi_uint secp256k1_T_8_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002778 MBEDTLS_BYTES_TO_T_UINT_8(0x1F, 0x4D, 0x3E, 0x86, 0x58, 0xC3, 0xEB, 0xBA),
2779 MBEDTLS_BYTES_TO_T_UINT_8(0x1A, 0x89, 0x33, 0x18, 0x21, 0x1D, 0x9B, 0xE7),
2780 MBEDTLS_BYTES_TO_T_UINT_8(0x0B, 0x9D, 0xFF, 0xC3, 0x79, 0xC1, 0x88, 0xF8),
2781 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0xD4, 0x48, 0x53, 0xE8, 0xAD, 0x21, 0x16),
kXuanba9cb762021-04-08 14:32:06 +08002782};
2783static const mbedtls_mpi_uint secp256k1_T_8_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002784 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0x7B, 0xDE, 0xCB, 0xD8, 0x39, 0x17, 0x7C),
2785 MBEDTLS_BYTES_TO_T_UINT_8(0xD3, 0xF3, 0x03, 0xF2, 0x5C, 0xBC, 0xC8, 0x8A),
2786 MBEDTLS_BYTES_TO_T_UINT_8(0x27, 0xAE, 0x4C, 0xB0, 0x16, 0xA4, 0x93, 0x86),
2787 MBEDTLS_BYTES_TO_T_UINT_8(0x71, 0x8B, 0x6B, 0xDC, 0xD7, 0x9A, 0x3E, 0x7E),
kXuanba9cb762021-04-08 14:32:06 +08002788};
2789static const mbedtls_mpi_uint secp256k1_T_9_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002790 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0x2D, 0x7A, 0xD2, 0x59, 0x05, 0xA2, 0x82),
2791 MBEDTLS_BYTES_TO_T_UINT_8(0x57, 0x56, 0x09, 0x32, 0xF1, 0xE8, 0xE3, 0x72),
2792 MBEDTLS_BYTES_TO_T_UINT_8(0x03, 0xCA, 0xE5, 0x2E, 0xF0, 0xFB, 0x18, 0x19),
2793 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0x85, 0xA9, 0x23, 0x15, 0x31, 0x1F, 0x0E),
kXuanba9cb762021-04-08 14:32:06 +08002794};
2795static const mbedtls_mpi_uint secp256k1_T_9_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002796 MBEDTLS_BYTES_TO_T_UINT_8(0x76, 0xE5, 0xB1, 0x86, 0xB9, 0x6E, 0x8D, 0xD3),
2797 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x77, 0xFC, 0xC9, 0xA3, 0x3F, 0x89, 0xD2),
2798 MBEDTLS_BYTES_TO_T_UINT_8(0xDB, 0x6A, 0xDC, 0x25, 0xB0, 0xC7, 0x41, 0x54),
2799 MBEDTLS_BYTES_TO_T_UINT_8(0x02, 0x11, 0x6B, 0xA6, 0x11, 0x62, 0xD4, 0x2D),
kXuanba9cb762021-04-08 14:32:06 +08002800};
2801static const mbedtls_mpi_uint secp256k1_T_10_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002802 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0x7D, 0x34, 0xB3, 0x20, 0x7F, 0x37, 0xAA),
2803 MBEDTLS_BYTES_TO_T_UINT_8(0xBD, 0xD4, 0x45, 0xE8, 0xC2, 0xE9, 0xC5, 0xEA),
2804 MBEDTLS_BYTES_TO_T_UINT_8(0x5A, 0x32, 0x3B, 0x25, 0x7E, 0x79, 0xAF, 0xE7),
2805 MBEDTLS_BYTES_TO_T_UINT_8(0x3F, 0xE4, 0x54, 0x71, 0xBE, 0x35, 0x4E, 0xD0),
kXuanba9cb762021-04-08 14:32:06 +08002806};
2807static const mbedtls_mpi_uint secp256k1_T_10_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002808 MBEDTLS_BYTES_TO_T_UINT_8(0xB0, 0x94, 0xDD, 0x8F, 0xB5, 0xC2, 0xDD, 0x75),
2809 MBEDTLS_BYTES_TO_T_UINT_8(0x07, 0x49, 0xE9, 0x1C, 0x2F, 0x08, 0x49, 0xC6),
2810 MBEDTLS_BYTES_TO_T_UINT_8(0x77, 0xB6, 0x03, 0x88, 0x6F, 0xB8, 0x15, 0x67),
2811 MBEDTLS_BYTES_TO_T_UINT_8(0xA4, 0xD3, 0x1C, 0xF3, 0xA5, 0xEB, 0x79, 0x01),
kXuanba9cb762021-04-08 14:32:06 +08002812};
2813static const mbedtls_mpi_uint secp256k1_T_11_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002814 MBEDTLS_BYTES_TO_T_UINT_8(0x25, 0xF9, 0x43, 0x88, 0x89, 0x0D, 0x06, 0xEA),
2815 MBEDTLS_BYTES_TO_T_UINT_8(0x02, 0x2D, 0xF5, 0x98, 0x32, 0xF6, 0xB1, 0x05),
2816 MBEDTLS_BYTES_TO_T_UINT_8(0x23, 0x73, 0x8F, 0x2B, 0x50, 0x27, 0x0A, 0xE7),
2817 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0xE3, 0xBD, 0x16, 0x05, 0xC8, 0x93, 0x12),
kXuanba9cb762021-04-08 14:32:06 +08002818};
2819static const mbedtls_mpi_uint secp256k1_T_11_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002820 MBEDTLS_BYTES_TO_T_UINT_8(0x0A, 0x6A, 0xF7, 0xE3, 0x3D, 0xDE, 0x5F, 0x2F),
2821 MBEDTLS_BYTES_TO_T_UINT_8(0x47, 0xA3, 0x9C, 0x22, 0x3C, 0x33, 0x36, 0x5D),
2822 MBEDTLS_BYTES_TO_T_UINT_8(0x20, 0x24, 0x4C, 0x69, 0x45, 0x78, 0x14, 0xAE),
2823 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0xF8, 0xD4, 0xBF, 0xB8, 0xC0, 0xA1, 0x25),
kXuanba9cb762021-04-08 14:32:06 +08002824};
2825static const mbedtls_mpi_uint secp256k1_T_12_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002826 MBEDTLS_BYTES_TO_T_UINT_8(0x7E, 0x88, 0xE1, 0x91, 0x03, 0xEB, 0xB3, 0x2B),
2827 MBEDTLS_BYTES_TO_T_UINT_8(0x5C, 0x11, 0xA1, 0xEF, 0x14, 0x0D, 0xC4, 0x7D),
2828 MBEDTLS_BYTES_TO_T_UINT_8(0xFE, 0xD4, 0x0D, 0x1D, 0x96, 0x33, 0x5C, 0x19),
2829 MBEDTLS_BYTES_TO_T_UINT_8(0x70, 0x45, 0x2A, 0x1A, 0xE6, 0x57, 0x04, 0x9B),
kXuanba9cb762021-04-08 14:32:06 +08002830};
2831static const mbedtls_mpi_uint secp256k1_T_12_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002832 MBEDTLS_BYTES_TO_T_UINT_8(0x70, 0xB5, 0xA7, 0x80, 0xE9, 0x93, 0x97, 0x8D),
2833 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0xB9, 0x7C, 0xA0, 0xC9, 0x57, 0x26, 0x43),
2834 MBEDTLS_BYTES_TO_T_UINT_8(0x9E, 0xEF, 0x56, 0xDA, 0x66, 0xF6, 0x1B, 0x9A),
2835 MBEDTLS_BYTES_TO_T_UINT_8(0x1F, 0x89, 0x6B, 0x91, 0xE0, 0xA9, 0x65, 0x2B),
kXuanba9cb762021-04-08 14:32:06 +08002836};
2837static const mbedtls_mpi_uint secp256k1_T_13_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002838 MBEDTLS_BYTES_TO_T_UINT_8(0x91, 0x98, 0x96, 0x9B, 0x06, 0x7D, 0x5E, 0x5A),
2839 MBEDTLS_BYTES_TO_T_UINT_8(0x0A, 0xFA, 0xC1, 0x5F, 0x19, 0x37, 0x94, 0x9D),
2840 MBEDTLS_BYTES_TO_T_UINT_8(0xCF, 0xBE, 0x6B, 0x1A, 0x05, 0xE4, 0xBF, 0x9F),
2841 MBEDTLS_BYTES_TO_T_UINT_8(0x84, 0xCD, 0x5D, 0x35, 0xB4, 0x51, 0xF7, 0x64),
kXuanba9cb762021-04-08 14:32:06 +08002842};
2843static const mbedtls_mpi_uint secp256k1_T_13_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002844 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0xEF, 0x96, 0xDB, 0xF2, 0x61, 0x63, 0x59),
2845 MBEDTLS_BYTES_TO_T_UINT_8(0xCB, 0x04, 0x88, 0xC9, 0x9F, 0x1B, 0x94, 0xB9),
2846 MBEDTLS_BYTES_TO_T_UINT_8(0xDB, 0x30, 0x79, 0x7E, 0x24, 0xE7, 0x5F, 0xB8),
2847 MBEDTLS_BYTES_TO_T_UINT_8(0x3F, 0xB8, 0x90, 0xB7, 0x94, 0x25, 0xBB, 0x0F),
kXuanba9cb762021-04-08 14:32:06 +08002848};
2849static const mbedtls_mpi_uint secp256k1_T_14_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002850 MBEDTLS_BYTES_TO_T_UINT_8(0x62, 0x79, 0xEA, 0xAD, 0xC0, 0x6D, 0x18, 0x57),
2851 MBEDTLS_BYTES_TO_T_UINT_8(0xE9, 0xA4, 0x58, 0x2A, 0x8D, 0x95, 0xB3, 0xE6),
2852 MBEDTLS_BYTES_TO_T_UINT_8(0xC8, 0xC4, 0xC2, 0x12, 0x0D, 0x79, 0xE2, 0x2B),
2853 MBEDTLS_BYTES_TO_T_UINT_8(0x02, 0x6F, 0xBE, 0x97, 0x4D, 0xA4, 0x20, 0x07),
kXuanba9cb762021-04-08 14:32:06 +08002854};
2855static const mbedtls_mpi_uint secp256k1_T_14_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002856 MBEDTLS_BYTES_TO_T_UINT_8(0xCA, 0x31, 0x71, 0xC6, 0xA6, 0x91, 0xEB, 0x1F),
2857 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0x9B, 0xA8, 0x4A, 0xE7, 0x77, 0xE1, 0xAA),
2858 MBEDTLS_BYTES_TO_T_UINT_8(0xA9, 0x06, 0xD3, 0x3D, 0x94, 0x30, 0xEF, 0x8C),
2859 MBEDTLS_BYTES_TO_T_UINT_8(0xE7, 0xDF, 0xCA, 0xFA, 0xF5, 0x28, 0xF8, 0xC9),
kXuanba9cb762021-04-08 14:32:06 +08002860};
2861static const mbedtls_mpi_uint secp256k1_T_15_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002862 MBEDTLS_BYTES_TO_T_UINT_8(0xCC, 0xE1, 0x32, 0xFD, 0x3E, 0x81, 0xF8, 0x11),
2863 MBEDTLS_BYTES_TO_T_UINT_8(0xCD, 0xF2, 0x4B, 0x1D, 0x19, 0xC9, 0x0F, 0xCC),
2864 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0xB1, 0x8A, 0x22, 0x8B, 0x05, 0x6B, 0x56),
2865 MBEDTLS_BYTES_TO_T_UINT_8(0x35, 0x21, 0xEF, 0x30, 0xEC, 0x09, 0x2A, 0x89),
kXuanba9cb762021-04-08 14:32:06 +08002866};
2867static const mbedtls_mpi_uint secp256k1_T_15_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002868 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0x84, 0x4A, 0x46, 0x07, 0x6C, 0x3C, 0x4C),
2869 MBEDTLS_BYTES_TO_T_UINT_8(0xDD, 0x18, 0x3A, 0xF4, 0xCC, 0xF5, 0xB2, 0xF2),
2870 MBEDTLS_BYTES_TO_T_UINT_8(0x4F, 0x8F, 0xCD, 0x0A, 0x9C, 0xF4, 0xBD, 0x95),
2871 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0x89, 0x7F, 0x8A, 0xB1, 0x52, 0x3A, 0xAB),
kXuanba9cb762021-04-08 14:32:06 +08002872};
2873static const mbedtls_ecp_point secp256k1_T[16] = {
2874 ECP_POINT_INIT_XY_Z1(secp256k1_T_0_X, secp256k1_T_0_Y),
2875 ECP_POINT_INIT_XY_Z0(secp256k1_T_1_X, secp256k1_T_1_Y),
2876 ECP_POINT_INIT_XY_Z0(secp256k1_T_2_X, secp256k1_T_2_Y),
2877 ECP_POINT_INIT_XY_Z0(secp256k1_T_3_X, secp256k1_T_3_Y),
2878 ECP_POINT_INIT_XY_Z0(secp256k1_T_4_X, secp256k1_T_4_Y),
2879 ECP_POINT_INIT_XY_Z0(secp256k1_T_5_X, secp256k1_T_5_Y),
2880 ECP_POINT_INIT_XY_Z0(secp256k1_T_6_X, secp256k1_T_6_Y),
2881 ECP_POINT_INIT_XY_Z0(secp256k1_T_7_X, secp256k1_T_7_Y),
2882 ECP_POINT_INIT_XY_Z0(secp256k1_T_8_X, secp256k1_T_8_Y),
2883 ECP_POINT_INIT_XY_Z0(secp256k1_T_9_X, secp256k1_T_9_Y),
2884 ECP_POINT_INIT_XY_Z0(secp256k1_T_10_X, secp256k1_T_10_Y),
2885 ECP_POINT_INIT_XY_Z0(secp256k1_T_11_X, secp256k1_T_11_Y),
2886 ECP_POINT_INIT_XY_Z0(secp256k1_T_12_X, secp256k1_T_12_Y),
2887 ECP_POINT_INIT_XY_Z0(secp256k1_T_13_X, secp256k1_T_13_Y),
2888 ECP_POINT_INIT_XY_Z0(secp256k1_T_14_X, secp256k1_T_14_Y),
2889 ECP_POINT_INIT_XY_Z0(secp256k1_T_15_X, secp256k1_T_15_Y),
2890};
2891#else
2892#define secp256k1_T NULL
2893#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002894#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002895
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01002896/*
2897 * Domain parameters for brainpoolP256r1 (RFC 5639 3.4)
2898 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002899#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
2900static const mbedtls_mpi_uint brainpoolP256r1_p[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002901 MBEDTLS_BYTES_TO_T_UINT_8(0x77, 0x53, 0x6E, 0x1F, 0x1D, 0x48, 0x13, 0x20),
2902 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0x20, 0x26, 0xD5, 0x23, 0xF6, 0x3B, 0x6E),
2903 MBEDTLS_BYTES_TO_T_UINT_8(0x72, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E),
2904 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002905};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002906static const mbedtls_mpi_uint brainpoolP256r1_a[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002907 MBEDTLS_BYTES_TO_T_UINT_8(0xD9, 0xB5, 0x30, 0xF3, 0x44, 0x4B, 0x4A, 0xE9),
2908 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x5C, 0xDC, 0x26, 0xC1, 0x55, 0x80, 0xFB),
2909 MBEDTLS_BYTES_TO_T_UINT_8(0xE7, 0xFF, 0x7A, 0x41, 0x30, 0x75, 0xF6, 0xEE),
2910 MBEDTLS_BYTES_TO_T_UINT_8(0x57, 0x30, 0x2C, 0xFC, 0x75, 0x09, 0x5A, 0x7D),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002911};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002912static const mbedtls_mpi_uint brainpoolP256r1_b[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002913 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x07, 0x8C, 0xFF, 0x18, 0xDC, 0xCC, 0x6B),
2914 MBEDTLS_BYTES_TO_T_UINT_8(0xCE, 0xE1, 0xF7, 0x5C, 0x29, 0x16, 0x84, 0x95),
2915 MBEDTLS_BYTES_TO_T_UINT_8(0xBF, 0x7C, 0xD7, 0xBB, 0xD9, 0xB5, 0x30, 0xF3),
2916 MBEDTLS_BYTES_TO_T_UINT_8(0x44, 0x4B, 0x4A, 0xE9, 0x6C, 0x5C, 0xDC, 0x26),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002917};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002918static const mbedtls_mpi_uint brainpoolP256r1_gx[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002919 MBEDTLS_BYTES_TO_T_UINT_8(0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A),
2920 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9),
2921 MBEDTLS_BYTES_TO_T_UINT_8(0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C),
2922 MBEDTLS_BYTES_TO_T_UINT_8(0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002923};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002924static const mbedtls_mpi_uint brainpoolP256r1_gy[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002925 MBEDTLS_BYTES_TO_T_UINT_8(0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C),
2926 MBEDTLS_BYTES_TO_T_UINT_8(0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2),
2927 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97),
2928 MBEDTLS_BYTES_TO_T_UINT_8(0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002929};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002930static const mbedtls_mpi_uint brainpoolP256r1_n[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002931 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0x56, 0x48, 0x97, 0x82, 0x0E, 0x1E, 0x90),
2932 MBEDTLS_BYTES_TO_T_UINT_8(0xF7, 0xA6, 0x61, 0xB5, 0xA3, 0x7A, 0x39, 0x8C),
2933 MBEDTLS_BYTES_TO_T_UINT_8(0x71, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E),
2934 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002935};
kXuanba9cb762021-04-08 14:32:06 +08002936
2937#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
2938static const mbedtls_mpi_uint brainpoolP256r1_T_0_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002939 MBEDTLS_BYTES_TO_T_UINT_8(0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A),
2940 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9),
2941 MBEDTLS_BYTES_TO_T_UINT_8(0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C),
2942 MBEDTLS_BYTES_TO_T_UINT_8(0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B),
kXuanba9cb762021-04-08 14:32:06 +08002943};
2944static const mbedtls_mpi_uint brainpoolP256r1_T_0_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002945 MBEDTLS_BYTES_TO_T_UINT_8(0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C),
2946 MBEDTLS_BYTES_TO_T_UINT_8(0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2),
2947 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97),
2948 MBEDTLS_BYTES_TO_T_UINT_8(0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54),
kXuanba9cb762021-04-08 14:32:06 +08002949};
2950static const mbedtls_mpi_uint brainpoolP256r1_T_1_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002951 MBEDTLS_BYTES_TO_T_UINT_8(0x3C, 0xA2, 0xED, 0x52, 0xC9, 0x8C, 0xE3, 0xA5),
2952 MBEDTLS_BYTES_TO_T_UINT_8(0x72, 0xC9, 0xC4, 0x87, 0x3F, 0x93, 0x7A, 0xD1),
2953 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0x12, 0x53, 0x61, 0x3E, 0x76, 0x08, 0xCB),
2954 MBEDTLS_BYTES_TO_T_UINT_8(0x09, 0x8C, 0x74, 0xF4, 0x08, 0xC3, 0x76, 0x80),
kXuanba9cb762021-04-08 14:32:06 +08002955};
2956static const mbedtls_mpi_uint brainpoolP256r1_T_1_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002957 MBEDTLS_BYTES_TO_T_UINT_8(0x05, 0xDD, 0x09, 0xA6, 0xED, 0xEE, 0xC4, 0x38),
2958 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0xD9, 0xBE, 0x4B, 0xA5, 0xB7, 0x2B, 0x6E),
2959 MBEDTLS_BYTES_TO_T_UINT_8(0x42, 0x20, 0x12, 0xCA, 0x0A, 0x38, 0x24, 0xAB),
2960 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x72, 0x71, 0x90, 0x7A, 0x2E, 0xB7, 0x23),
kXuanba9cb762021-04-08 14:32:06 +08002961};
2962static const mbedtls_mpi_uint brainpoolP256r1_T_2_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002963 MBEDTLS_BYTES_TO_T_UINT_8(0x2C, 0x66, 0xA1, 0x93, 0x10, 0x2A, 0x51, 0x17),
2964 MBEDTLS_BYTES_TO_T_UINT_8(0x88, 0x10, 0x11, 0x12, 0xBC, 0xB0, 0xB6, 0x93),
2965 MBEDTLS_BYTES_TO_T_UINT_8(0x3C, 0x58, 0xD7, 0x0A, 0x84, 0x05, 0xA3, 0x9C),
2966 MBEDTLS_BYTES_TO_T_UINT_8(0xF7, 0x8E, 0x95, 0x61, 0xD3, 0x0B, 0xDF, 0x36),
kXuanba9cb762021-04-08 14:32:06 +08002967};
2968static const mbedtls_mpi_uint brainpoolP256r1_T_2_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002969 MBEDTLS_BYTES_TO_T_UINT_8(0xF9, 0x92, 0x12, 0x0F, 0x5E, 0x87, 0x70, 0x1B),
2970 MBEDTLS_BYTES_TO_T_UINT_8(0x38, 0xE9, 0x9B, 0xEB, 0x3A, 0xFB, 0xCF, 0xC4),
2971 MBEDTLS_BYTES_TO_T_UINT_8(0xDC, 0x92, 0xB9, 0xF7, 0x45, 0xD3, 0x06, 0xB6),
2972 MBEDTLS_BYTES_TO_T_UINT_8(0x82, 0x28, 0x65, 0xE1, 0xC5, 0x6C, 0x57, 0x18),
kXuanba9cb762021-04-08 14:32:06 +08002973};
2974static const mbedtls_mpi_uint brainpoolP256r1_T_3_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002975 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0x0E, 0x77, 0x01, 0x81, 0x9E, 0x38, 0x5C),
2976 MBEDTLS_BYTES_TO_T_UINT_8(0x71, 0xF0, 0xD5, 0xA5, 0x91, 0x2B, 0xDF, 0xC0),
2977 MBEDTLS_BYTES_TO_T_UINT_8(0xD8, 0xEE, 0xB6, 0x25, 0xD6, 0x98, 0xDE, 0x2D),
2978 MBEDTLS_BYTES_TO_T_UINT_8(0x7B, 0xA1, 0x55, 0x63, 0x39, 0xEB, 0xB5, 0x47),
kXuanba9cb762021-04-08 14:32:06 +08002979};
2980static const mbedtls_mpi_uint brainpoolP256r1_T_3_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002981 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0xD6, 0xB8, 0xE3, 0x13, 0xED, 0x7F, 0xA3),
2982 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0xE8, 0xAE, 0x36, 0xB8, 0xCD, 0x19, 0x02),
2983 MBEDTLS_BYTES_TO_T_UINT_8(0xF9, 0x82, 0x83, 0x7A, 0x7B, 0x46, 0x56, 0xE8),
2984 MBEDTLS_BYTES_TO_T_UINT_8(0x4E, 0x60, 0x46, 0x15, 0x5A, 0xAC, 0x99, 0x30),
kXuanba9cb762021-04-08 14:32:06 +08002985};
2986static const mbedtls_mpi_uint brainpoolP256r1_T_4_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002987 MBEDTLS_BYTES_TO_T_UINT_8(0xBF, 0x61, 0x50, 0xC6, 0xFF, 0x10, 0x7D, 0x04),
2988 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0x51, 0xDF, 0xA9, 0x7D, 0x78, 0x26, 0x74),
2989 MBEDTLS_BYTES_TO_T_UINT_8(0x56, 0x15, 0x9A, 0xF7, 0x01, 0xC1, 0xBB, 0x40),
2990 MBEDTLS_BYTES_TO_T_UINT_8(0x26, 0x0F, 0xE6, 0x2A, 0xBD, 0x4A, 0x9E, 0x87),
kXuanba9cb762021-04-08 14:32:06 +08002991};
2992static const mbedtls_mpi_uint brainpoolP256r1_T_4_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002993 MBEDTLS_BYTES_TO_T_UINT_8(0x57, 0xF8, 0xD1, 0x77, 0xD2, 0x49, 0xB3, 0xDD),
2994 MBEDTLS_BYTES_TO_T_UINT_8(0x36, 0x86, 0xFB, 0x9E, 0x1F, 0x5A, 0x60, 0x47),
2995 MBEDTLS_BYTES_TO_T_UINT_8(0x98, 0xC4, 0x8D, 0xCD, 0x86, 0x61, 0x2F, 0xF9),
2996 MBEDTLS_BYTES_TO_T_UINT_8(0x41, 0xF6, 0xB9, 0xAC, 0x37, 0x9D, 0xE9, 0x28),
kXuanba9cb762021-04-08 14:32:06 +08002997};
2998static const mbedtls_mpi_uint brainpoolP256r1_T_5_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01002999 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0x77, 0xAA, 0x97, 0x9C, 0x0B, 0x04, 0x20),
3000 MBEDTLS_BYTES_TO_T_UINT_8(0x80, 0xA6, 0x60, 0x81, 0xCE, 0x25, 0x13, 0x3E),
3001 MBEDTLS_BYTES_TO_T_UINT_8(0x24, 0x00, 0xF3, 0xBB, 0x82, 0x99, 0x95, 0xB7),
3002 MBEDTLS_BYTES_TO_T_UINT_8(0x47, 0x5A, 0xCE, 0x90, 0x71, 0x38, 0x2F, 0x10),
kXuanba9cb762021-04-08 14:32:06 +08003003};
3004static const mbedtls_mpi_uint brainpoolP256r1_T_5_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003005 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0x1A, 0xC0, 0x84, 0x27, 0xD6, 0x9D, 0xB7),
3006 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0x37, 0x52, 0x16, 0x13, 0x0E, 0xCE, 0x92),
3007 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0xBF, 0x5A, 0xDB, 0xDB, 0x6E, 0x1E, 0x69),
3008 MBEDTLS_BYTES_TO_T_UINT_8(0x3E, 0xB7, 0x5E, 0xF9, 0x86, 0xDD, 0x8A, 0x5C),
kXuanba9cb762021-04-08 14:32:06 +08003009};
3010static const mbedtls_mpi_uint brainpoolP256r1_T_6_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003011 MBEDTLS_BYTES_TO_T_UINT_8(0x3D, 0xAB, 0x5C, 0x8D, 0x1D, 0xF2, 0x2D, 0x1E),
3012 MBEDTLS_BYTES_TO_T_UINT_8(0x65, 0xC5, 0xF8, 0xF7, 0x1D, 0x96, 0x0B, 0x4D),
3013 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0x4C, 0xA7, 0x45, 0x20, 0x6A, 0x1E, 0x5B),
3014 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0x5D, 0xEF, 0xDE, 0xEE, 0x39, 0x44, 0x19),
kXuanba9cb762021-04-08 14:32:06 +08003015};
3016static const mbedtls_mpi_uint brainpoolP256r1_T_6_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003017 MBEDTLS_BYTES_TO_T_UINT_8(0x4B, 0x2F, 0x6D, 0x52, 0xC9, 0x58, 0x60, 0xE8),
3018 MBEDTLS_BYTES_TO_T_UINT_8(0xC3, 0xC9, 0x62, 0xCB, 0x38, 0x3C, 0x55, 0xCA),
3019 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xA5, 0x09, 0x10, 0x88, 0xDB, 0xE3, 0xBD),
3020 MBEDTLS_BYTES_TO_T_UINT_8(0x52, 0xE0, 0x3C, 0xCE, 0x06, 0x0B, 0x4B, 0x5D),
kXuanba9cb762021-04-08 14:32:06 +08003021};
3022static const mbedtls_mpi_uint brainpoolP256r1_T_7_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003023 MBEDTLS_BYTES_TO_T_UINT_8(0xB1, 0x1D, 0xB4, 0x10, 0x76, 0x8F, 0xBA, 0x09),
3024 MBEDTLS_BYTES_TO_T_UINT_8(0x57, 0x70, 0x5A, 0x07, 0xF5, 0x1A, 0x74, 0xC7),
3025 MBEDTLS_BYTES_TO_T_UINT_8(0x0B, 0xE9, 0x94, 0xA8, 0xC0, 0xD5, 0x4A, 0x4A),
3026 MBEDTLS_BYTES_TO_T_UINT_8(0x3E, 0x6D, 0xD4, 0xE8, 0x9B, 0xE9, 0x6D, 0x0E),
kXuanba9cb762021-04-08 14:32:06 +08003027};
3028static const mbedtls_mpi_uint brainpoolP256r1_T_7_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003029 MBEDTLS_BYTES_TO_T_UINT_8(0x65, 0x00, 0x32, 0x41, 0x57, 0x84, 0x89, 0x52),
3030 MBEDTLS_BYTES_TO_T_UINT_8(0xEE, 0xC7, 0x14, 0xEC, 0xE9, 0x27, 0xFF, 0xF3),
3031 MBEDTLS_BYTES_TO_T_UINT_8(0x9A, 0x67, 0x9E, 0xFB, 0xB6, 0xB8, 0x96, 0xF3),
3032 MBEDTLS_BYTES_TO_T_UINT_8(0xE5, 0x4A, 0xE3, 0x97, 0x4B, 0x58, 0xDE, 0x30),
kXuanba9cb762021-04-08 14:32:06 +08003033};
3034static const mbedtls_mpi_uint brainpoolP256r1_T_8_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003035 MBEDTLS_BYTES_TO_T_UINT_8(0xA6, 0x1E, 0x5C, 0xF5, 0x7F, 0xD5, 0xD4, 0xAA),
3036 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0x08, 0x7A, 0xF1, 0xBD, 0x89, 0xC7, 0x1E),
3037 MBEDTLS_BYTES_TO_T_UINT_8(0x3A, 0xF9, 0x11, 0x1B, 0xF5, 0x3C, 0x6D, 0x8C),
3038 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0x50, 0xE5, 0x69, 0x1D, 0x59, 0xFC, 0x0C),
kXuanba9cb762021-04-08 14:32:06 +08003039};
3040static const mbedtls_mpi_uint brainpoolP256r1_T_8_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003041 MBEDTLS_BYTES_TO_T_UINT_8(0xF1, 0x2F, 0xF8, 0x3F, 0xEC, 0x55, 0x99, 0x57),
3042 MBEDTLS_BYTES_TO_T_UINT_8(0x41, 0xA7, 0x29, 0x90, 0x43, 0x81, 0x31, 0x4C),
3043 MBEDTLS_BYTES_TO_T_UINT_8(0xC3, 0x18, 0x44, 0x50, 0x5D, 0x76, 0xCB, 0xDD),
3044 MBEDTLS_BYTES_TO_T_UINT_8(0xF0, 0xC5, 0x5B, 0x9A, 0x03, 0xE6, 0x17, 0x39),
kXuanba9cb762021-04-08 14:32:06 +08003045};
3046static const mbedtls_mpi_uint brainpoolP256r1_T_9_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003047 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0x89, 0xFC, 0x55, 0x94, 0x91, 0x6A, 0xA2),
3048 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0x46, 0x35, 0xF2, 0x3A, 0x42, 0x08, 0x2F),
3049 MBEDTLS_BYTES_TO_T_UINT_8(0xD3, 0xD2, 0x76, 0x49, 0x42, 0x87, 0xD3, 0x7F),
3050 MBEDTLS_BYTES_TO_T_UINT_8(0x90, 0xEA, 0xA0, 0x52, 0xF1, 0x6A, 0x30, 0x57),
kXuanba9cb762021-04-08 14:32:06 +08003051};
3052static const mbedtls_mpi_uint brainpoolP256r1_T_9_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003053 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0xB2, 0x57, 0xA3, 0x8A, 0x4D, 0x1B, 0x3C),
3054 MBEDTLS_BYTES_TO_T_UINT_8(0xFC, 0xA3, 0x99, 0x94, 0xB5, 0x3D, 0x64, 0x09),
3055 MBEDTLS_BYTES_TO_T_UINT_8(0x35, 0xC3, 0xD7, 0x53, 0xF6, 0x49, 0x1C, 0x60),
3056 MBEDTLS_BYTES_TO_T_UINT_8(0x27, 0x23, 0x41, 0x4D, 0xFB, 0x7A, 0x5C, 0x53),
kXuanba9cb762021-04-08 14:32:06 +08003057};
3058static const mbedtls_mpi_uint brainpoolP256r1_T_10_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003059 MBEDTLS_BYTES_TO_T_UINT_8(0xCA, 0xB8, 0x15, 0x65, 0x5C, 0x85, 0x94, 0xD7),
3060 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0x37, 0xC7, 0xF8, 0x7E, 0xAE, 0x6C, 0x10),
3061 MBEDTLS_BYTES_TO_T_UINT_8(0x53, 0xD8, 0x11, 0x54, 0x98, 0x44, 0xE3, 0xF1),
3062 MBEDTLS_BYTES_TO_T_UINT_8(0xE4, 0x4D, 0xA6, 0x4B, 0x28, 0xF2, 0x57, 0x9E),
kXuanba9cb762021-04-08 14:32:06 +08003063};
3064static const mbedtls_mpi_uint brainpoolP256r1_T_10_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003065 MBEDTLS_BYTES_TO_T_UINT_8(0xF6, 0xD0, 0xEB, 0x1E, 0xAA, 0x30, 0xD3, 0x6A),
3066 MBEDTLS_BYTES_TO_T_UINT_8(0x58, 0x9B, 0x4D, 0xA7, 0x73, 0x6E, 0xB6, 0x45),
3067 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0x47, 0xF6, 0xED, 0x37, 0xEF, 0x71, 0x4D),
3068 MBEDTLS_BYTES_TO_T_UINT_8(0xA8, 0xB5, 0x49, 0x61, 0x5E, 0x45, 0xF6, 0x4A),
kXuanba9cb762021-04-08 14:32:06 +08003069};
3070static const mbedtls_mpi_uint brainpoolP256r1_T_11_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003071 MBEDTLS_BYTES_TO_T_UINT_8(0xEF, 0x0E, 0xB3, 0x84, 0x3A, 0x63, 0x72, 0x84),
3072 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0x53, 0x5C, 0xA7, 0xC6, 0x2E, 0xAB, 0x9E),
3073 MBEDTLS_BYTES_TO_T_UINT_8(0xEB, 0x0F, 0x8F, 0x87, 0x50, 0x28, 0xB4, 0xAE),
3074 MBEDTLS_BYTES_TO_T_UINT_8(0x5C, 0x98, 0x4A, 0x98, 0x31, 0x86, 0xCA, 0x51),
kXuanba9cb762021-04-08 14:32:06 +08003075};
3076static const mbedtls_mpi_uint brainpoolP256r1_T_11_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003077 MBEDTLS_BYTES_TO_T_UINT_8(0xBE, 0xC9, 0xE2, 0xFD, 0x5D, 0x1F, 0xE8, 0xC2),
3078 MBEDTLS_BYTES_TO_T_UINT_8(0xD5, 0x90, 0x91, 0xC4, 0x84, 0xF0, 0xBA, 0xC5),
3079 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x5A, 0xB3, 0x4E, 0xFB, 0xE0, 0x57, 0xE8),
3080 MBEDTLS_BYTES_TO_T_UINT_8(0x6B, 0x0B, 0x90, 0xA6, 0xFD, 0x9D, 0x8E, 0x02),
kXuanba9cb762021-04-08 14:32:06 +08003081};
3082static const mbedtls_mpi_uint brainpoolP256r1_T_12_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003083 MBEDTLS_BYTES_TO_T_UINT_8(0xF8, 0x41, 0x8F, 0x31, 0xFA, 0x5A, 0xF6, 0x33),
3084 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0xE9, 0xE3, 0xF6, 0xE0, 0x4A, 0xE7, 0xD2),
3085 MBEDTLS_BYTES_TO_T_UINT_8(0x84, 0x4E, 0xCD, 0xA2, 0x22, 0x14, 0xD4, 0x12),
3086 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0xED, 0x21, 0xB7, 0x0F, 0x53, 0x10, 0x17),
kXuanba9cb762021-04-08 14:32:06 +08003087};
3088static const mbedtls_mpi_uint brainpoolP256r1_T_12_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003089 MBEDTLS_BYTES_TO_T_UINT_8(0x05, 0x06, 0x24, 0x2C, 0x4E, 0xD1, 0x1E, 0x9F),
3090 MBEDTLS_BYTES_TO_T_UINT_8(0xD7, 0x3F, 0xC1, 0x9F, 0xAB, 0xF0, 0x37, 0x95),
3091 MBEDTLS_BYTES_TO_T_UINT_8(0x03, 0x5E, 0x12, 0xCE, 0x83, 0x1B, 0x2A, 0x18),
3092 MBEDTLS_BYTES_TO_T_UINT_8(0x61, 0x65, 0xCF, 0xE8, 0x5C, 0xA5, 0xA2, 0x70),
kXuanba9cb762021-04-08 14:32:06 +08003093};
3094static const mbedtls_mpi_uint brainpoolP256r1_T_13_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003095 MBEDTLS_BYTES_TO_T_UINT_8(0xB8, 0x86, 0x76, 0x3A, 0x94, 0xF6, 0x1D, 0xC1),
3096 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0xDA, 0xC9, 0xA6, 0x29, 0x93, 0x15, 0x10),
3097 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0x61, 0x6A, 0x7D, 0xC7, 0xA9, 0xF3, 0x76),
3098 MBEDTLS_BYTES_TO_T_UINT_8(0x4A, 0x03, 0x71, 0xA2, 0x15, 0xCE, 0x50, 0x72),
kXuanba9cb762021-04-08 14:32:06 +08003099};
3100static const mbedtls_mpi_uint brainpoolP256r1_T_13_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003101 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0xD0, 0xA8, 0x1E, 0x91, 0xC4, 0x4F, 0x24),
3102 MBEDTLS_BYTES_TO_T_UINT_8(0x2D, 0x4B, 0x7E, 0xD7, 0x71, 0x58, 0x7E, 0x1E),
3103 MBEDTLS_BYTES_TO_T_UINT_8(0x93, 0x45, 0xAF, 0x2A, 0x18, 0x93, 0x95, 0x3B),
3104 MBEDTLS_BYTES_TO_T_UINT_8(0x1B, 0x8F, 0xC7, 0xFA, 0x4C, 0x7A, 0x86, 0x54),
kXuanba9cb762021-04-08 14:32:06 +08003105};
3106static const mbedtls_mpi_uint brainpoolP256r1_T_14_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003107 MBEDTLS_BYTES_TO_T_UINT_8(0x97, 0xAF, 0x68, 0x3A, 0x23, 0xC1, 0x2E, 0xBF),
3108 MBEDTLS_BYTES_TO_T_UINT_8(0x89, 0x50, 0x11, 0x67, 0x39, 0xB9, 0xAF, 0x48),
3109 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0x86, 0xAA, 0x1E, 0x88, 0x21, 0x29, 0x8B),
3110 MBEDTLS_BYTES_TO_T_UINT_8(0xCD, 0x28, 0xA4, 0x9D, 0x89, 0xA9, 0x9A, 0x10),
kXuanba9cb762021-04-08 14:32:06 +08003111};
3112static const mbedtls_mpi_uint brainpoolP256r1_T_14_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003113 MBEDTLS_BYTES_TO_T_UINT_8(0x91, 0xBA, 0x04, 0x67, 0xB7, 0x01, 0x40, 0x38),
3114 MBEDTLS_BYTES_TO_T_UINT_8(0x08, 0xE9, 0x09, 0xA3, 0xCA, 0xA6, 0x37, 0xF6),
3115 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x97, 0xA8, 0xB6, 0x3C, 0xEE, 0x90, 0x3D),
3116 MBEDTLS_BYTES_TO_T_UINT_8(0xDC, 0xED, 0xC4, 0xF7, 0xC3, 0x95, 0xEC, 0x85),
kXuanba9cb762021-04-08 14:32:06 +08003117};
3118static const mbedtls_mpi_uint brainpoolP256r1_T_15_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003119 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0x84, 0xBD, 0xEB, 0xD5, 0x64, 0xBB, 0x9D),
3120 MBEDTLS_BYTES_TO_T_UINT_8(0xDB, 0x9B, 0xE2, 0x28, 0x50, 0xC2, 0x72, 0x40),
3121 MBEDTLS_BYTES_TO_T_UINT_8(0x39, 0xF2, 0x74, 0xD1, 0x26, 0xBF, 0x32, 0x68),
3122 MBEDTLS_BYTES_TO_T_UINT_8(0x36, 0xCB, 0xAF, 0x72, 0xDB, 0x6D, 0x30, 0x98),
kXuanba9cb762021-04-08 14:32:06 +08003123};
3124static const mbedtls_mpi_uint brainpoolP256r1_T_15_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003125 MBEDTLS_BYTES_TO_T_UINT_8(0xB3, 0x50, 0x85, 0xF4, 0x2B, 0x48, 0xC1, 0xAD),
3126 MBEDTLS_BYTES_TO_T_UINT_8(0xC0, 0x28, 0xBB, 0x11, 0xBA, 0x5B, 0x22, 0x6C),
3127 MBEDTLS_BYTES_TO_T_UINT_8(0xAD, 0xA1, 0xE5, 0x5C, 0xC9, 0x1D, 0x44, 0x45),
3128 MBEDTLS_BYTES_TO_T_UINT_8(0xD4, 0xE8, 0xE6, 0x6F, 0xBB, 0xC1, 0x81, 0x7F),
kXuanba9cb762021-04-08 14:32:06 +08003129};
3130static const mbedtls_ecp_point brainpoolP256r1_T[16] = {
3131 ECP_POINT_INIT_XY_Z1(brainpoolP256r1_T_0_X, brainpoolP256r1_T_0_Y),
3132 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_1_X, brainpoolP256r1_T_1_Y),
3133 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_2_X, brainpoolP256r1_T_2_Y),
3134 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_3_X, brainpoolP256r1_T_3_Y),
3135 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_4_X, brainpoolP256r1_T_4_Y),
3136 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_5_X, brainpoolP256r1_T_5_Y),
3137 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_6_X, brainpoolP256r1_T_6_Y),
3138 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_7_X, brainpoolP256r1_T_7_Y),
3139 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_8_X, brainpoolP256r1_T_8_Y),
3140 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_9_X, brainpoolP256r1_T_9_Y),
3141 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_10_X, brainpoolP256r1_T_10_Y),
3142 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_11_X, brainpoolP256r1_T_11_Y),
3143 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_12_X, brainpoolP256r1_T_12_Y),
3144 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_13_X, brainpoolP256r1_T_13_Y),
3145 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_14_X, brainpoolP256r1_T_14_Y),
3146 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_15_X, brainpoolP256r1_T_15_Y),
3147};
3148#else
3149#define brainpoolP256r1_T NULL
3150#endif
3151
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003152#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01003153
3154/*
3155 * Domain parameters for brainpoolP384r1 (RFC 5639 3.6)
3156 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003157#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
3158static const mbedtls_mpi_uint brainpoolP384r1_p[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003159 MBEDTLS_BYTES_TO_T_UINT_8(0x53, 0xEC, 0x07, 0x31, 0x13, 0x00, 0x47, 0x87),
3160 MBEDTLS_BYTES_TO_T_UINT_8(0x71, 0x1A, 0x1D, 0x90, 0x29, 0xA7, 0xD3, 0xAC),
3161 MBEDTLS_BYTES_TO_T_UINT_8(0x23, 0x11, 0xB7, 0x7F, 0x19, 0xDA, 0xB1, 0x12),
3162 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15),
3163 MBEDTLS_BYTES_TO_T_UINT_8(0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F),
3164 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003165};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003166static const mbedtls_mpi_uint brainpoolP384r1_a[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003167 MBEDTLS_BYTES_TO_T_UINT_8(0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04),
3168 MBEDTLS_BYTES_TO_T_UINT_8(0xEB, 0xD4, 0x3A, 0x50, 0x4A, 0x81, 0xA5, 0x8A),
3169 MBEDTLS_BYTES_TO_T_UINT_8(0x0F, 0xF9, 0x91, 0xBA, 0xEF, 0x65, 0x91, 0x13),
3170 MBEDTLS_BYTES_TO_T_UINT_8(0x87, 0x27, 0xB2, 0x4F, 0x8E, 0xA2, 0xBE, 0xC2),
3171 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0xAF, 0x05, 0xCE, 0x0A, 0x08, 0x72, 0x3C),
3172 MBEDTLS_BYTES_TO_T_UINT_8(0x0C, 0x15, 0x8C, 0x3D, 0xC6, 0x82, 0xC3, 0x7B),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003173};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003174static const mbedtls_mpi_uint brainpoolP384r1_b[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003175 MBEDTLS_BYTES_TO_T_UINT_8(0x11, 0x4C, 0x50, 0xFA, 0x96, 0x86, 0xB7, 0x3A),
3176 MBEDTLS_BYTES_TO_T_UINT_8(0x94, 0xC9, 0xDB, 0x95, 0x02, 0x39, 0xB4, 0x7C),
3177 MBEDTLS_BYTES_TO_T_UINT_8(0xD5, 0x62, 0xEB, 0x3E, 0xA5, 0x0E, 0x88, 0x2E),
3178 MBEDTLS_BYTES_TO_T_UINT_8(0xA6, 0xD2, 0xDC, 0x07, 0xE1, 0x7D, 0xB7, 0x2F),
3179 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0x44, 0xF0, 0x16, 0x54, 0xB5, 0x39, 0x8B),
3180 MBEDTLS_BYTES_TO_T_UINT_8(0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003181};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003182static const mbedtls_mpi_uint brainpoolP384r1_gx[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003183 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF),
3184 MBEDTLS_BYTES_TO_T_UINT_8(0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8),
3185 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB),
3186 MBEDTLS_BYTES_TO_T_UINT_8(0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88),
3187 MBEDTLS_BYTES_TO_T_UINT_8(0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2),
3188 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003189};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003190static const mbedtls_mpi_uint brainpoolP384r1_gy[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003191 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42),
3192 MBEDTLS_BYTES_TO_T_UINT_8(0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E),
3193 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1),
3194 MBEDTLS_BYTES_TO_T_UINT_8(0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62),
3195 MBEDTLS_BYTES_TO_T_UINT_8(0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C),
3196 MBEDTLS_BYTES_TO_T_UINT_8(0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003197};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003198static const mbedtls_mpi_uint brainpoolP384r1_n[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003199 MBEDTLS_BYTES_TO_T_UINT_8(0x65, 0x65, 0x04, 0xE9, 0x02, 0x32, 0x88, 0x3B),
3200 MBEDTLS_BYTES_TO_T_UINT_8(0x10, 0xC3, 0x7F, 0x6B, 0xAF, 0xB6, 0x3A, 0xCF),
3201 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0x25, 0x04, 0xAC, 0x6C, 0x6E, 0x16, 0x1F),
3202 MBEDTLS_BYTES_TO_T_UINT_8(0xB3, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15),
3203 MBEDTLS_BYTES_TO_T_UINT_8(0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F),
3204 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003205};
kXuanba9cb762021-04-08 14:32:06 +08003206
3207#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
3208static const mbedtls_mpi_uint brainpoolP384r1_T_0_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003209 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF),
3210 MBEDTLS_BYTES_TO_T_UINT_8(0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8),
3211 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB),
3212 MBEDTLS_BYTES_TO_T_UINT_8(0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88),
3213 MBEDTLS_BYTES_TO_T_UINT_8(0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2),
3214 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D),
kXuanba9cb762021-04-08 14:32:06 +08003215};
3216static const mbedtls_mpi_uint brainpoolP384r1_T_0_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003217 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42),
3218 MBEDTLS_BYTES_TO_T_UINT_8(0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E),
3219 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1),
3220 MBEDTLS_BYTES_TO_T_UINT_8(0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62),
3221 MBEDTLS_BYTES_TO_T_UINT_8(0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C),
3222 MBEDTLS_BYTES_TO_T_UINT_8(0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A),
kXuanba9cb762021-04-08 14:32:06 +08003223};
3224static const mbedtls_mpi_uint brainpoolP384r1_T_1_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003225 MBEDTLS_BYTES_TO_T_UINT_8(0x93, 0xD8, 0x8A, 0x54, 0x41, 0xD6, 0x6B, 0x1D),
3226 MBEDTLS_BYTES_TO_T_UINT_8(0xE2, 0x3B, 0xF1, 0x22, 0xFD, 0x2D, 0x4B, 0x03),
3227 MBEDTLS_BYTES_TO_T_UINT_8(0x01, 0x55, 0xE3, 0x33, 0xF0, 0x73, 0x52, 0x5A),
3228 MBEDTLS_BYTES_TO_T_UINT_8(0xC1, 0x3F, 0x30, 0x26, 0xCA, 0x7F, 0x52, 0xA3),
3229 MBEDTLS_BYTES_TO_T_UINT_8(0xD3, 0x6E, 0x17, 0x9B, 0xD5, 0x2A, 0x4A, 0x31),
3230 MBEDTLS_BYTES_TO_T_UINT_8(0x86, 0xDA, 0x6B, 0xE5, 0x03, 0x07, 0x1D, 0x2E),
kXuanba9cb762021-04-08 14:32:06 +08003231};
3232static const mbedtls_mpi_uint brainpoolP384r1_T_1_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003233 MBEDTLS_BYTES_TO_T_UINT_8(0x51, 0x7A, 0xAF, 0x98, 0xE3, 0xA4, 0xF6, 0x19),
3234 MBEDTLS_BYTES_TO_T_UINT_8(0xEC, 0x7D, 0xFE, 0x51, 0x40, 0x3B, 0x47, 0xD2),
3235 MBEDTLS_BYTES_TO_T_UINT_8(0xFC, 0x88, 0xEC, 0xC4, 0xE2, 0x8F, 0xCB, 0xA4),
3236 MBEDTLS_BYTES_TO_T_UINT_8(0x30, 0xE2, 0x88, 0x2D, 0x4E, 0x50, 0xEB, 0x9A),
3237 MBEDTLS_BYTES_TO_T_UINT_8(0x13, 0x54, 0x94, 0x5E, 0xF4, 0x7F, 0x3A, 0x04),
3238 MBEDTLS_BYTES_TO_T_UINT_8(0xCD, 0x07, 0x1C, 0xE1, 0xBD, 0x0F, 0xF8, 0x63),
kXuanba9cb762021-04-08 14:32:06 +08003239};
3240static const mbedtls_mpi_uint brainpoolP384r1_T_2_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003241 MBEDTLS_BYTES_TO_T_UINT_8(0x94, 0x92, 0x28, 0x2E, 0x32, 0x04, 0xB1, 0x4D),
3242 MBEDTLS_BYTES_TO_T_UINT_8(0x25, 0x82, 0x44, 0x43, 0x76, 0x0D, 0x55, 0xBF),
3243 MBEDTLS_BYTES_TO_T_UINT_8(0x5B, 0xE3, 0xFF, 0x89, 0x46, 0xDE, 0x4E, 0xFE),
3244 MBEDTLS_BYTES_TO_T_UINT_8(0x5B, 0x22, 0xBB, 0x67, 0x1A, 0x81, 0xEE, 0x27),
3245 MBEDTLS_BYTES_TO_T_UINT_8(0xC8, 0x54, 0xE2, 0x7A, 0xAE, 0xDA, 0x2C, 0xD0),
3246 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0x9A, 0x90, 0xAA, 0x6E, 0x8B, 0xCC, 0x5F),
kXuanba9cb762021-04-08 14:32:06 +08003247};
3248static const mbedtls_mpi_uint brainpoolP384r1_T_2_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003249 MBEDTLS_BYTES_TO_T_UINT_8(0x16, 0x40, 0xAC, 0xED, 0x7D, 0x37, 0x87, 0xAC),
3250 MBEDTLS_BYTES_TO_T_UINT_8(0x98, 0xF8, 0xB1, 0x80, 0x4C, 0x8C, 0x04, 0x42),
3251 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0x98, 0x2C, 0xAD, 0x30, 0x69, 0x35, 0xC0),
3252 MBEDTLS_BYTES_TO_T_UINT_8(0x32, 0x2E, 0x00, 0x2F, 0x44, 0x8C, 0xF0, 0xC0),
3253 MBEDTLS_BYTES_TO_T_UINT_8(0x16, 0x58, 0x07, 0xD7, 0xCD, 0x60, 0xA1, 0x5B),
3254 MBEDTLS_BYTES_TO_T_UINT_8(0xAF, 0xFB, 0x7B, 0x03, 0x05, 0x5E, 0x79, 0x73),
kXuanba9cb762021-04-08 14:32:06 +08003255};
3256static const mbedtls_mpi_uint brainpoolP384r1_T_3_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003257 MBEDTLS_BYTES_TO_T_UINT_8(0xC8, 0x17, 0xCE, 0x38, 0x4B, 0x5E, 0x5B, 0xC8),
3258 MBEDTLS_BYTES_TO_T_UINT_8(0x60, 0x0E, 0x0A, 0x61, 0x9D, 0x7C, 0x62, 0x08),
3259 MBEDTLS_BYTES_TO_T_UINT_8(0x25, 0xF0, 0x98, 0x71, 0x7F, 0x17, 0x26, 0xD7),
3260 MBEDTLS_BYTES_TO_T_UINT_8(0x83, 0xD3, 0xFA, 0x3C, 0xF0, 0x70, 0x07, 0x82),
3261 MBEDTLS_BYTES_TO_T_UINT_8(0x29, 0x47, 0x5C, 0x09, 0x43, 0xB7, 0x65, 0x15),
3262 MBEDTLS_BYTES_TO_T_UINT_8(0x0E, 0xA9, 0xA7, 0x3E, 0xFA, 0xF3, 0xEC, 0x22),
kXuanba9cb762021-04-08 14:32:06 +08003263};
3264static const mbedtls_mpi_uint brainpoolP384r1_T_3_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003265 MBEDTLS_BYTES_TO_T_UINT_8(0xDA, 0x78, 0x22, 0x2B, 0x58, 0x71, 0xFA, 0xAA),
3266 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x30, 0xCE, 0x6A, 0xB3, 0xB0, 0x4F, 0x83),
3267 MBEDTLS_BYTES_TO_T_UINT_8(0xCF, 0x95, 0x20, 0xA9, 0x23, 0xC2, 0x65, 0xE7),
3268 MBEDTLS_BYTES_TO_T_UINT_8(0x55, 0xCF, 0x03, 0x5B, 0x8A, 0x80, 0x44, 0xBB),
3269 MBEDTLS_BYTES_TO_T_UINT_8(0x5C, 0xF8, 0x91, 0xF7, 0xD5, 0xED, 0xEA, 0x81),
3270 MBEDTLS_BYTES_TO_T_UINT_8(0x40, 0x5B, 0x16, 0x10, 0x25, 0xAC, 0x2A, 0x17),
kXuanba9cb762021-04-08 14:32:06 +08003271};
3272static const mbedtls_mpi_uint brainpoolP384r1_T_4_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003273 MBEDTLS_BYTES_TO_T_UINT_8(0xF2, 0xEC, 0xDC, 0xC4, 0x7B, 0x8C, 0x6B, 0xE9),
3274 MBEDTLS_BYTES_TO_T_UINT_8(0x2B, 0xBB, 0x1C, 0xD3, 0x5A, 0xEE, 0xD9, 0x97),
3275 MBEDTLS_BYTES_TO_T_UINT_8(0x64, 0x5D, 0x30, 0x5E, 0xF7, 0xB2, 0x41, 0x9D),
3276 MBEDTLS_BYTES_TO_T_UINT_8(0xED, 0xCE, 0x0F, 0x1A, 0xC6, 0x41, 0x64, 0x62),
3277 MBEDTLS_BYTES_TO_T_UINT_8(0xF2, 0x18, 0xE1, 0xE3, 0x82, 0x15, 0x66, 0x4B),
3278 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0xE2, 0x24, 0x04, 0x72, 0x39, 0xA0, 0x7C),
kXuanba9cb762021-04-08 14:32:06 +08003279};
3280static const mbedtls_mpi_uint brainpoolP384r1_T_4_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003281 MBEDTLS_BYTES_TO_T_UINT_8(0x2B, 0x51, 0xA2, 0x58, 0x88, 0x62, 0xE1, 0x02),
3282 MBEDTLS_BYTES_TO_T_UINT_8(0x58, 0xD2, 0x65, 0x14, 0xE9, 0x4C, 0x82, 0x30),
3283 MBEDTLS_BYTES_TO_T_UINT_8(0xDC, 0xE1, 0xAC, 0x87, 0xAE, 0x31, 0x1A, 0x7A),
3284 MBEDTLS_BYTES_TO_T_UINT_8(0x85, 0x4F, 0x96, 0x1E, 0x85, 0x7A, 0xC3, 0x2B),
3285 MBEDTLS_BYTES_TO_T_UINT_8(0xF0, 0x86, 0xBB, 0xF0, 0xC0, 0x9D, 0x08, 0x7B),
3286 MBEDTLS_BYTES_TO_T_UINT_8(0xBD, 0x53, 0x03, 0x09, 0x80, 0x91, 0xEF, 0x68),
kXuanba9cb762021-04-08 14:32:06 +08003287};
3288static const mbedtls_mpi_uint brainpoolP384r1_T_5_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003289 MBEDTLS_BYTES_TO_T_UINT_8(0x2D, 0xD7, 0xAF, 0x6F, 0x69, 0x7B, 0x88, 0xA1),
3290 MBEDTLS_BYTES_TO_T_UINT_8(0xAF, 0x13, 0xE4, 0x30, 0xA2, 0x47, 0xB5, 0xC1),
3291 MBEDTLS_BYTES_TO_T_UINT_8(0x0F, 0xD2, 0xC0, 0xDD, 0x8A, 0x1C, 0x3C, 0xF2),
3292 MBEDTLS_BYTES_TO_T_UINT_8(0xF9, 0x8C, 0xB3, 0x4C, 0xBA, 0x8B, 0x6D, 0xCF),
3293 MBEDTLS_BYTES_TO_T_UINT_8(0x6B, 0xC7, 0xA1, 0xA8, 0x6E, 0x3C, 0x4F, 0xF1),
3294 MBEDTLS_BYTES_TO_T_UINT_8(0x94, 0x4A, 0x97, 0xC8, 0x03, 0x6F, 0x01, 0x82),
kXuanba9cb762021-04-08 14:32:06 +08003295};
3296static const mbedtls_mpi_uint brainpoolP384r1_T_5_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003297 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0x18, 0x12, 0xA9, 0x39, 0xD5, 0x22, 0x26),
3298 MBEDTLS_BYTES_TO_T_UINT_8(0x47, 0xA7, 0xC0, 0xBD, 0x9D, 0x8D, 0x78, 0x38),
3299 MBEDTLS_BYTES_TO_T_UINT_8(0xA9, 0xB3, 0xD0, 0x7F, 0xDF, 0xD0, 0x30, 0xDE),
3300 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0x25, 0x73, 0x96, 0xEC, 0xA8, 0x1D, 0x7C),
3301 MBEDTLS_BYTES_TO_T_UINT_8(0x91, 0xD1, 0x65, 0x66, 0xDC, 0xD9, 0xCF, 0xDF),
3302 MBEDTLS_BYTES_TO_T_UINT_8(0x95, 0xED, 0x7B, 0x37, 0xAD, 0xE2, 0xBE, 0x2D),
kXuanba9cb762021-04-08 14:32:06 +08003303};
3304static const mbedtls_mpi_uint brainpoolP384r1_T_6_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003305 MBEDTLS_BYTES_TO_T_UINT_8(0x50, 0x79, 0x42, 0x6A, 0x07, 0x66, 0xB1, 0xBD),
3306 MBEDTLS_BYTES_TO_T_UINT_8(0x45, 0x53, 0x62, 0x65, 0x92, 0x09, 0x4C, 0xA1),
3307 MBEDTLS_BYTES_TO_T_UINT_8(0x06, 0xAF, 0xC3, 0x03, 0xF6, 0xF4, 0x2D, 0x9B),
3308 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0xCA, 0x41, 0xD9, 0xA2, 0x69, 0x9B, 0xC9),
3309 MBEDTLS_BYTES_TO_T_UINT_8(0x4B, 0xB2, 0xA6, 0x8D, 0xE1, 0xAA, 0x61, 0x76),
3310 MBEDTLS_BYTES_TO_T_UINT_8(0x11, 0xBA, 0x4D, 0x12, 0xB6, 0xBE, 0xF3, 0x7E),
kXuanba9cb762021-04-08 14:32:06 +08003311};
3312static const mbedtls_mpi_uint brainpoolP384r1_T_6_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003313 MBEDTLS_BYTES_TO_T_UINT_8(0xCA, 0xD9, 0x92, 0x22, 0x07, 0xCE, 0xC9, 0x26),
3314 MBEDTLS_BYTES_TO_T_UINT_8(0x62, 0xA1, 0x7C, 0x91, 0xDB, 0x32, 0xF7, 0xE5),
3315 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0x49, 0x4B, 0x6D, 0xFB, 0xD9, 0x70, 0x3B),
3316 MBEDTLS_BYTES_TO_T_UINT_8(0x1C, 0xFB, 0x4E, 0x4C, 0x5E, 0x66, 0x81, 0x1D),
3317 MBEDTLS_BYTES_TO_T_UINT_8(0xA5, 0xB3, 0xE1, 0x00, 0xB7, 0xD9, 0xCC, 0x58),
3318 MBEDTLS_BYTES_TO_T_UINT_8(0xF3, 0x36, 0x8B, 0xC4, 0x39, 0x20, 0xFD, 0x30),
kXuanba9cb762021-04-08 14:32:06 +08003319};
3320static const mbedtls_mpi_uint brainpoolP384r1_T_7_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003321 MBEDTLS_BYTES_TO_T_UINT_8(0x94, 0x1F, 0x60, 0x03, 0xBB, 0xD7, 0x60, 0x57),
3322 MBEDTLS_BYTES_TO_T_UINT_8(0x72, 0x3C, 0x62, 0xDD, 0x71, 0x95, 0xE9, 0x61),
3323 MBEDTLS_BYTES_TO_T_UINT_8(0xB0, 0x5B, 0x7A, 0x5F, 0x68, 0x81, 0xC5, 0x90),
3324 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0xAF, 0xB5, 0xB9, 0x98, 0x42, 0x28, 0xA5),
3325 MBEDTLS_BYTES_TO_T_UINT_8(0x0C, 0x29, 0x8E, 0x11, 0x49, 0xB4, 0xD7, 0x20),
3326 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0x3E, 0xD2, 0x30, 0xA1, 0xBA, 0xCA, 0x03),
kXuanba9cb762021-04-08 14:32:06 +08003327};
3328static const mbedtls_mpi_uint brainpoolP384r1_T_7_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003329 MBEDTLS_BYTES_TO_T_UINT_8(0x29, 0x37, 0x64, 0x44, 0x2F, 0x03, 0xE5, 0x41),
3330 MBEDTLS_BYTES_TO_T_UINT_8(0x4A, 0x42, 0xBC, 0xFF, 0xA2, 0x1A, 0x5F, 0x06),
3331 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0x04, 0xAB, 0x04, 0xE0, 0x24, 0xAD, 0x2A),
3332 MBEDTLS_BYTES_TO_T_UINT_8(0x3D, 0x45, 0x17, 0x67, 0x1F, 0x3E, 0x53, 0xF8),
3333 MBEDTLS_BYTES_TO_T_UINT_8(0xED, 0x0F, 0xB3, 0x1B, 0x57, 0x54, 0xC2, 0x03),
3334 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0xD3, 0xF8, 0xC4, 0x1B, 0x9B, 0xFA, 0x30),
kXuanba9cb762021-04-08 14:32:06 +08003335};
3336static const mbedtls_mpi_uint brainpoolP384r1_T_8_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003337 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0x90, 0xFD, 0xFB, 0xCA, 0x49, 0x38, 0x4E),
3338 MBEDTLS_BYTES_TO_T_UINT_8(0xC3, 0xCF, 0xC6, 0xDD, 0xF0, 0xFF, 0x8C, 0x11),
3339 MBEDTLS_BYTES_TO_T_UINT_8(0xD7, 0x69, 0x9D, 0xBD, 0x5F, 0x33, 0xE9, 0xB4),
3340 MBEDTLS_BYTES_TO_T_UINT_8(0x47, 0x19, 0x82, 0x3D, 0xAC, 0x1C, 0x40, 0x23),
3341 MBEDTLS_BYTES_TO_T_UINT_8(0x40, 0xC7, 0x02, 0x46, 0x14, 0x77, 0x00, 0xBE),
3342 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0x05, 0xF2, 0x77, 0x3A, 0x66, 0x5C, 0x39),
kXuanba9cb762021-04-08 14:32:06 +08003343};
3344static const mbedtls_mpi_uint brainpoolP384r1_T_8_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003345 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0xE6, 0x17, 0xDE, 0xB2, 0xA1, 0xE5, 0xB8),
3346 MBEDTLS_BYTES_TO_T_UINT_8(0xC7, 0x71, 0xEC, 0x9D, 0xD8, 0xF5, 0xD4, 0x66),
3347 MBEDTLS_BYTES_TO_T_UINT_8(0xAA, 0xC6, 0x42, 0x5E, 0xE7, 0x18, 0xBA, 0xD0),
3348 MBEDTLS_BYTES_TO_T_UINT_8(0xC5, 0x21, 0x68, 0x5A, 0x26, 0xFB, 0xD7, 0x17),
3349 MBEDTLS_BYTES_TO_T_UINT_8(0x26, 0x00, 0x5C, 0xBA, 0x8A, 0x34, 0xEC, 0x75),
3350 MBEDTLS_BYTES_TO_T_UINT_8(0xC3, 0x9C, 0x3C, 0xAF, 0x53, 0xE8, 0x65, 0x35),
kXuanba9cb762021-04-08 14:32:06 +08003351};
3352static const mbedtls_mpi_uint brainpoolP384r1_T_9_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003353 MBEDTLS_BYTES_TO_T_UINT_8(0xBE, 0xEF, 0x28, 0xDC, 0x67, 0x05, 0xC8, 0xDF),
3354 MBEDTLS_BYTES_TO_T_UINT_8(0x0B, 0x78, 0xC3, 0x85, 0x49, 0xA0, 0xBC, 0x0F),
3355 MBEDTLS_BYTES_TO_T_UINT_8(0x10, 0x3E, 0x2D, 0xA0, 0xCF, 0xD4, 0x7A, 0xF5),
3356 MBEDTLS_BYTES_TO_T_UINT_8(0x36, 0x93, 0xFE, 0x60, 0xB3, 0x6E, 0x99, 0xE2),
3357 MBEDTLS_BYTES_TO_T_UINT_8(0x62, 0xAD, 0x04, 0xE7, 0x49, 0xAF, 0x5E, 0xE3),
3358 MBEDTLS_BYTES_TO_T_UINT_8(0x54, 0x7A, 0xED, 0xA6, 0x9E, 0x18, 0x09, 0x31),
kXuanba9cb762021-04-08 14:32:06 +08003359};
3360static const mbedtls_mpi_uint brainpoolP384r1_T_9_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003361 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0x05, 0x94, 0x44, 0xDC, 0xB8, 0x85, 0x94),
3362 MBEDTLS_BYTES_TO_T_UINT_8(0x14, 0xB7, 0x37, 0xC2, 0x50, 0x75, 0x15, 0xDA),
3363 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0xC6, 0x0F, 0xB2, 0xA9, 0x91, 0x3E, 0xE8),
3364 MBEDTLS_BYTES_TO_T_UINT_8(0xB9, 0x81, 0xAD, 0x25, 0xA1, 0x26, 0x73, 0x15),
3365 MBEDTLS_BYTES_TO_T_UINT_8(0xFD, 0xF1, 0xD1, 0x61, 0x7C, 0x76, 0x8F, 0x13),
3366 MBEDTLS_BYTES_TO_T_UINT_8(0x06, 0xDB, 0x4A, 0xFF, 0x14, 0xA7, 0x48, 0x0B),
kXuanba9cb762021-04-08 14:32:06 +08003367};
3368static const mbedtls_mpi_uint brainpoolP384r1_T_10_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003369 MBEDTLS_BYTES_TO_T_UINT_8(0x2A, 0x73, 0xC6, 0xC2, 0xCC, 0xF1, 0x57, 0x04),
3370 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0xED, 0x73, 0x27, 0x70, 0x82, 0xB6, 0x5E),
3371 MBEDTLS_BYTES_TO_T_UINT_8(0x0B, 0xBA, 0xAC, 0x3A, 0xCF, 0xF4, 0xEA, 0xA6),
3372 MBEDTLS_BYTES_TO_T_UINT_8(0x99, 0xD6, 0xB1, 0x8F, 0x0E, 0x08, 0x2C, 0x5E),
3373 MBEDTLS_BYTES_TO_T_UINT_8(0x17, 0xE3, 0x8F, 0x2F, 0x0E, 0xA1, 0xF3, 0x07),
3374 MBEDTLS_BYTES_TO_T_UINT_8(0x1A, 0xF5, 0x7C, 0x9B, 0x29, 0x0A, 0xF6, 0x28),
kXuanba9cb762021-04-08 14:32:06 +08003375};
3376static const mbedtls_mpi_uint brainpoolP384r1_T_10_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003377 MBEDTLS_BYTES_TO_T_UINT_8(0xBD, 0xEE, 0x17, 0x47, 0x34, 0x15, 0xA3, 0xAF),
3378 MBEDTLS_BYTES_TO_T_UINT_8(0xFB, 0xBE, 0x88, 0x48, 0xE7, 0xA2, 0xBB, 0xDE),
3379 MBEDTLS_BYTES_TO_T_UINT_8(0xC5, 0xAD, 0xDC, 0x65, 0x61, 0x37, 0x0F, 0xC1),
3380 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0x67, 0xAD, 0xA2, 0x3A, 0x1C, 0x91, 0x78),
3381 MBEDTLS_BYTES_TO_T_UINT_8(0x55, 0x07, 0x0C, 0x3A, 0x41, 0x6E, 0x13, 0x28),
3382 MBEDTLS_BYTES_TO_T_UINT_8(0x73, 0xBD, 0x7E, 0xED, 0xAA, 0x14, 0xDD, 0x61),
kXuanba9cb762021-04-08 14:32:06 +08003383};
3384static const mbedtls_mpi_uint brainpoolP384r1_T_11_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003385 MBEDTLS_BYTES_TO_T_UINT_8(0xC3, 0xDC, 0x20, 0x01, 0x72, 0x11, 0x48, 0x55),
3386 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0xC4, 0x7B, 0xF8, 0x62, 0x3D, 0xF0, 0x9F),
3387 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0xC2, 0x3D, 0x2E, 0x52, 0xA3, 0x4A, 0x89),
3388 MBEDTLS_BYTES_TO_T_UINT_8(0xCE, 0xE2, 0x53, 0x46, 0x5E, 0x21, 0xF8, 0xCE),
3389 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0xC7, 0x8F, 0xA9, 0x26, 0x42, 0x32, 0x3A),
3390 MBEDTLS_BYTES_TO_T_UINT_8(0xFB, 0xA6, 0xA0, 0x8D, 0x4B, 0x9A, 0x19, 0x03),
kXuanba9cb762021-04-08 14:32:06 +08003391};
3392static const mbedtls_mpi_uint brainpoolP384r1_T_11_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003393 MBEDTLS_BYTES_TO_T_UINT_8(0xEA, 0xAB, 0x6D, 0x1E, 0xFB, 0xEE, 0x60, 0x0C),
3394 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x56, 0x3C, 0xC5, 0x5D, 0x10, 0x79, 0x1C),
3395 MBEDTLS_BYTES_TO_T_UINT_8(0x25, 0xBC, 0x41, 0x9F, 0x71, 0xEF, 0x02, 0xF9),
3396 MBEDTLS_BYTES_TO_T_UINT_8(0xA2, 0x36, 0xC4, 0xD0, 0x88, 0x9B, 0x32, 0xFC),
3397 MBEDTLS_BYTES_TO_T_UINT_8(0x9C, 0xD4, 0x5D, 0x17, 0x39, 0xE6, 0x22, 0x2C),
3398 MBEDTLS_BYTES_TO_T_UINT_8(0x7B, 0x26, 0x01, 0xCE, 0xBE, 0x4A, 0x9C, 0x27),
kXuanba9cb762021-04-08 14:32:06 +08003399};
3400static const mbedtls_mpi_uint brainpoolP384r1_T_12_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003401 MBEDTLS_BYTES_TO_T_UINT_8(0xEF, 0x6D, 0x11, 0xCA, 0x6C, 0x5A, 0x93, 0x0C),
3402 MBEDTLS_BYTES_TO_T_UINT_8(0xEB, 0x96, 0x26, 0xAF, 0x2F, 0xE4, 0x30, 0x98),
3403 MBEDTLS_BYTES_TO_T_UINT_8(0x35, 0xC1, 0x4C, 0xC6, 0x30, 0x1F, 0x5C, 0x04),
3404 MBEDTLS_BYTES_TO_T_UINT_8(0x59, 0xB3, 0xE8, 0xFC, 0x35, 0xEB, 0x63, 0x6C),
3405 MBEDTLS_BYTES_TO_T_UINT_8(0x9C, 0x1D, 0xCA, 0xFC, 0x50, 0x36, 0x4B, 0x96),
3406 MBEDTLS_BYTES_TO_T_UINT_8(0xE4, 0x0E, 0x23, 0x5B, 0xAF, 0xEB, 0x2D, 0x31),
kXuanba9cb762021-04-08 14:32:06 +08003407};
3408static const mbedtls_mpi_uint brainpoolP384r1_T_12_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003409 MBEDTLS_BYTES_TO_T_UINT_8(0xC6, 0x88, 0xB6, 0xD7, 0x74, 0x4A, 0x23, 0xB6),
3410 MBEDTLS_BYTES_TO_T_UINT_8(0xEF, 0x66, 0xE2, 0xBB, 0x29, 0xA6, 0x4F, 0x55),
3411 MBEDTLS_BYTES_TO_T_UINT_8(0xE9, 0x6F, 0x7E, 0x68, 0x6E, 0xA0, 0x14, 0x94),
3412 MBEDTLS_BYTES_TO_T_UINT_8(0x3B, 0x73, 0xD4, 0xE8, 0xAB, 0x5B, 0xF6, 0x0D),
3413 MBEDTLS_BYTES_TO_T_UINT_8(0x46, 0xE0, 0x3C, 0x24, 0x00, 0x95, 0xE9, 0xAD),
3414 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0x0D, 0x4F, 0x81, 0xD0, 0xF2, 0x3F, 0x00),
kXuanba9cb762021-04-08 14:32:06 +08003415};
3416static const mbedtls_mpi_uint brainpoolP384r1_T_13_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003417 MBEDTLS_BYTES_TO_T_UINT_8(0x99, 0x1D, 0xCD, 0x78, 0x39, 0xC4, 0x6B, 0xD9),
3418 MBEDTLS_BYTES_TO_T_UINT_8(0x81, 0x45, 0xC7, 0xB8, 0x2F, 0xAA, 0x5D, 0xE3),
3419 MBEDTLS_BYTES_TO_T_UINT_8(0x33, 0x8C, 0x6E, 0xA3, 0x24, 0xB2, 0xDB, 0x4B),
3420 MBEDTLS_BYTES_TO_T_UINT_8(0x69, 0x2D, 0xD9, 0xF1, 0xC7, 0x9B, 0x8A, 0xAF),
3421 MBEDTLS_BYTES_TO_T_UINT_8(0x67, 0xE1, 0x2C, 0xB9, 0x40, 0x37, 0x91, 0x75),
3422 MBEDTLS_BYTES_TO_T_UINT_8(0x81, 0x2C, 0xB5, 0x23, 0x03, 0x2B, 0xAF, 0x2F),
kXuanba9cb762021-04-08 14:32:06 +08003423};
3424static const mbedtls_mpi_uint brainpoolP384r1_T_13_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003425 MBEDTLS_BYTES_TO_T_UINT_8(0x2F, 0x9D, 0x5A, 0x20, 0x10, 0xA9, 0x84, 0xDA),
3426 MBEDTLS_BYTES_TO_T_UINT_8(0x61, 0x30, 0x89, 0x20, 0x13, 0xE9, 0xB2, 0xCA),
3427 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x6E, 0x52, 0xEB, 0x03, 0x18, 0x1F, 0xA6),
3428 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x9E, 0x1C, 0x35, 0x87, 0x92, 0x69, 0xC7),
3429 MBEDTLS_BYTES_TO_T_UINT_8(0xA1, 0xC9, 0x88, 0xAF, 0xC6, 0x6C, 0x83, 0x72),
3430 MBEDTLS_BYTES_TO_T_UINT_8(0xCB, 0xD5, 0x7A, 0x54, 0x34, 0x99, 0xB6, 0x6F),
kXuanba9cb762021-04-08 14:32:06 +08003431};
3432static const mbedtls_mpi_uint brainpoolP384r1_T_14_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003433 MBEDTLS_BYTES_TO_T_UINT_8(0xDF, 0xAD, 0x45, 0x9B, 0x4B, 0x41, 0x4D, 0x50),
3434 MBEDTLS_BYTES_TO_T_UINT_8(0x1B, 0x5D, 0xAB, 0x7F, 0x35, 0x34, 0xE9, 0x29),
3435 MBEDTLS_BYTES_TO_T_UINT_8(0x73, 0xBE, 0x78, 0x34, 0x44, 0xF3, 0x4A, 0x87),
3436 MBEDTLS_BYTES_TO_T_UINT_8(0xFB, 0xDE, 0xE3, 0xC4, 0xEE, 0x0B, 0xF9, 0xEB),
3437 MBEDTLS_BYTES_TO_T_UINT_8(0x5E, 0x86, 0x16, 0x48, 0x32, 0xB8, 0x74, 0x41),
3438 MBEDTLS_BYTES_TO_T_UINT_8(0xF2, 0xEE, 0x7C, 0xBA, 0xBD, 0x81, 0xE3, 0x55),
kXuanba9cb762021-04-08 14:32:06 +08003439};
3440static const mbedtls_mpi_uint brainpoolP384r1_T_14_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003441 MBEDTLS_BYTES_TO_T_UINT_8(0xF8, 0x6A, 0xFA, 0x84, 0xDA, 0xB8, 0xD5, 0x14),
3442 MBEDTLS_BYTES_TO_T_UINT_8(0xB2, 0x9F, 0x8A, 0xD5, 0x1B, 0x2E, 0x1A, 0x0B),
3443 MBEDTLS_BYTES_TO_T_UINT_8(0x5F, 0x0C, 0x61, 0xE2, 0xFF, 0x5B, 0xE6, 0xD5),
3444 MBEDTLS_BYTES_TO_T_UINT_8(0x0E, 0x62, 0xC1, 0x87, 0x53, 0x1B, 0x92, 0xA3),
3445 MBEDTLS_BYTES_TO_T_UINT_8(0x54, 0x90, 0x00, 0xD1, 0x6A, 0x0C, 0x0E, 0x28),
3446 MBEDTLS_BYTES_TO_T_UINT_8(0x8B, 0x2E, 0xB5, 0x3B, 0x44, 0xB5, 0xA0, 0x78),
kXuanba9cb762021-04-08 14:32:06 +08003447};
3448static const mbedtls_mpi_uint brainpoolP384r1_T_15_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003449 MBEDTLS_BYTES_TO_T_UINT_8(0xB8, 0x5D, 0x02, 0x58, 0xB5, 0xBE, 0x45, 0x14),
3450 MBEDTLS_BYTES_TO_T_UINT_8(0xAD, 0xEF, 0x8E, 0x90, 0x4D, 0x2A, 0x32, 0xAC),
3451 MBEDTLS_BYTES_TO_T_UINT_8(0x48, 0x99, 0x75, 0x5C, 0x0A, 0x33, 0x8F, 0x36),
3452 MBEDTLS_BYTES_TO_T_UINT_8(0xC8, 0x6C, 0x95, 0xD4, 0x1F, 0xF3, 0xEB, 0xDA),
3453 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0xE4, 0x4C, 0x91, 0x20, 0xF3, 0x25, 0xEB),
3454 MBEDTLS_BYTES_TO_T_UINT_8(0xF1, 0x95, 0xEB, 0x29, 0x6F, 0x20, 0x34, 0x81),
kXuanba9cb762021-04-08 14:32:06 +08003455};
3456static const mbedtls_mpi_uint brainpoolP384r1_T_15_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003457 MBEDTLS_BYTES_TO_T_UINT_8(0x2D, 0x15, 0xE5, 0x13, 0x7E, 0x64, 0x8B, 0xAD),
3458 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0xBC, 0x0D, 0x18, 0x7E, 0x37, 0x9E, 0xFA),
3459 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0x82, 0x20, 0xF7, 0x2D, 0x7A, 0x77, 0x52),
3460 MBEDTLS_BYTES_TO_T_UINT_8(0xCB, 0x29, 0xA2, 0xDB, 0x7A, 0xE6, 0x6F, 0xA5),
3461 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0xC6, 0x50, 0x5C, 0xBC, 0xE6, 0x4F, 0xBD),
3462 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0x9F, 0xD5, 0xE8, 0xC5, 0x3D, 0xB7, 0x30),
kXuanba9cb762021-04-08 14:32:06 +08003463};
3464static const mbedtls_mpi_uint brainpoolP384r1_T_16_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003465 MBEDTLS_BYTES_TO_T_UINT_8(0x45, 0x03, 0x55, 0x10, 0xDB, 0xA6, 0x8B, 0x22),
3466 MBEDTLS_BYTES_TO_T_UINT_8(0x4E, 0x17, 0xAE, 0x78, 0xC9, 0x1D, 0x43, 0xCA),
3467 MBEDTLS_BYTES_TO_T_UINT_8(0x4E, 0x35, 0x49, 0xD4, 0x47, 0x84, 0x8D, 0x20),
3468 MBEDTLS_BYTES_TO_T_UINT_8(0xF3, 0x95, 0x2F, 0xEA, 0xBC, 0xB4, 0x18, 0xB3),
3469 MBEDTLS_BYTES_TO_T_UINT_8(0xD4, 0x48, 0xAE, 0x89, 0xF5, 0x65, 0x3D, 0x89),
3470 MBEDTLS_BYTES_TO_T_UINT_8(0x86, 0xF2, 0x2B, 0x20, 0xD1, 0x75, 0x50, 0x63),
kXuanba9cb762021-04-08 14:32:06 +08003471};
3472static const mbedtls_mpi_uint brainpoolP384r1_T_16_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003473 MBEDTLS_BYTES_TO_T_UINT_8(0xAD, 0xE6, 0x5C, 0x2C, 0xE0, 0x7D, 0xDF, 0x2D),
3474 MBEDTLS_BYTES_TO_T_UINT_8(0x3E, 0x07, 0x3E, 0xCE, 0x9F, 0x18, 0xB6, 0x05),
3475 MBEDTLS_BYTES_TO_T_UINT_8(0x9A, 0xF8, 0xF0, 0xD5, 0xFA, 0x42, 0x1D, 0x6D),
3476 MBEDTLS_BYTES_TO_T_UINT_8(0x41, 0x6C, 0x1D, 0x03, 0xC9, 0x0E, 0x2B, 0x2F),
3477 MBEDTLS_BYTES_TO_T_UINT_8(0x43, 0x18, 0x52, 0xA5, 0xB4, 0x63, 0xE1, 0x06),
3478 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0x0A, 0xD9, 0xC4, 0xFD, 0x16, 0x60, 0x54),
kXuanba9cb762021-04-08 14:32:06 +08003479};
3480static const mbedtls_mpi_uint brainpoolP384r1_T_17_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003481 MBEDTLS_BYTES_TO_T_UINT_8(0x43, 0x7D, 0xDE, 0xDF, 0x4B, 0x4A, 0xB0, 0xCB),
3482 MBEDTLS_BYTES_TO_T_UINT_8(0xB0, 0x4E, 0x8C, 0x94, 0xC1, 0xE2, 0x85, 0xDF),
3483 MBEDTLS_BYTES_TO_T_UINT_8(0x4F, 0xF0, 0xEA, 0xB5, 0x9B, 0x70, 0xEF, 0x10),
3484 MBEDTLS_BYTES_TO_T_UINT_8(0x56, 0xC2, 0x39, 0x5D, 0xF3, 0x2C, 0xD9, 0x2C),
3485 MBEDTLS_BYTES_TO_T_UINT_8(0x0D, 0x1C, 0x2E, 0xCC, 0x2F, 0x54, 0x87, 0x80),
3486 MBEDTLS_BYTES_TO_T_UINT_8(0xB0, 0x72, 0xC7, 0xB5, 0x50, 0xA3, 0x84, 0x77),
kXuanba9cb762021-04-08 14:32:06 +08003487};
3488static const mbedtls_mpi_uint brainpoolP384r1_T_17_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003489 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0xD1, 0xAF, 0xA9, 0xB4, 0x8B, 0x5D, 0xFA),
3490 MBEDTLS_BYTES_TO_T_UINT_8(0xC8, 0xF6, 0x52, 0x8A, 0xC3, 0x56, 0xA5, 0x5E),
3491 MBEDTLS_BYTES_TO_T_UINT_8(0x3B, 0x52, 0xFF, 0xEA, 0x05, 0x42, 0x77, 0x83),
3492 MBEDTLS_BYTES_TO_T_UINT_8(0x29, 0x08, 0x90, 0x72, 0x86, 0xC4, 0xC3, 0xB8),
3493 MBEDTLS_BYTES_TO_T_UINT_8(0x4D, 0x15, 0xF8, 0xF1, 0x16, 0x67, 0xC6, 0xD5),
3494 MBEDTLS_BYTES_TO_T_UINT_8(0x75, 0x87, 0xAC, 0x8F, 0x71, 0xEC, 0x83, 0x81),
kXuanba9cb762021-04-08 14:32:06 +08003495};
3496static const mbedtls_mpi_uint brainpoolP384r1_T_18_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003497 MBEDTLS_BYTES_TO_T_UINT_8(0x91, 0xE1, 0xE6, 0x2D, 0x0E, 0x11, 0xA1, 0x62),
3498 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0xE2, 0xA8, 0x32, 0xE6, 0xE3, 0x83, 0xD1),
3499 MBEDTLS_BYTES_TO_T_UINT_8(0x50, 0x56, 0xE5, 0xCD, 0xB7, 0x2B, 0x67, 0x6F),
3500 MBEDTLS_BYTES_TO_T_UINT_8(0xE5, 0xED, 0xC9, 0x65, 0x6D, 0x87, 0xE1, 0x8E),
3501 MBEDTLS_BYTES_TO_T_UINT_8(0x50, 0x8E, 0xFD, 0x9A, 0x53, 0x0E, 0xFA, 0xA3),
3502 MBEDTLS_BYTES_TO_T_UINT_8(0x49, 0x4C, 0x4A, 0xE2, 0x23, 0x84, 0xFA, 0x01),
kXuanba9cb762021-04-08 14:32:06 +08003503};
3504static const mbedtls_mpi_uint brainpoolP384r1_T_18_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003505 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0xFE, 0x49, 0x81, 0xD1, 0x3E, 0xF4, 0x7C),
3506 MBEDTLS_BYTES_TO_T_UINT_8(0x45, 0x72, 0xE0, 0xEF, 0x0D, 0xB8, 0x3E, 0x6F),
3507 MBEDTLS_BYTES_TO_T_UINT_8(0x3C, 0x00, 0x0F, 0x5F, 0xCE, 0x60, 0x72, 0x2C),
3508 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0xCC, 0xD8, 0x03, 0x07, 0x6E, 0x5A, 0xCD),
3509 MBEDTLS_BYTES_TO_T_UINT_8(0x27, 0x3A, 0x35, 0x50, 0x4E, 0x1F, 0xCA, 0x5F),
3510 MBEDTLS_BYTES_TO_T_UINT_8(0x58, 0xEA, 0x88, 0x55, 0xBD, 0x6E, 0x05, 0x7F),
kXuanba9cb762021-04-08 14:32:06 +08003511};
3512static const mbedtls_mpi_uint brainpoolP384r1_T_19_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003513 MBEDTLS_BYTES_TO_T_UINT_8(0xB1, 0x6D, 0xF1, 0x97, 0xA6, 0x69, 0x39, 0x24),
3514 MBEDTLS_BYTES_TO_T_UINT_8(0x0B, 0x41, 0x99, 0xFF, 0x3B, 0xA1, 0x26, 0xEC),
3515 MBEDTLS_BYTES_TO_T_UINT_8(0x95, 0x2F, 0x95, 0x80, 0x12, 0x4A, 0x1B, 0xCB),
3516 MBEDTLS_BYTES_TO_T_UINT_8(0xEA, 0xBF, 0x51, 0xAA, 0xAE, 0x2D, 0xDA, 0xCF),
3517 MBEDTLS_BYTES_TO_T_UINT_8(0x0C, 0x1C, 0xB3, 0x52, 0x36, 0x49, 0xD4, 0x86),
3518 MBEDTLS_BYTES_TO_T_UINT_8(0x99, 0xC1, 0x1F, 0x3A, 0xD3, 0x3E, 0x5C, 0x1A),
kXuanba9cb762021-04-08 14:32:06 +08003519};
3520static const mbedtls_mpi_uint brainpoolP384r1_T_19_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003521 MBEDTLS_BYTES_TO_T_UINT_8(0x73, 0x51, 0xF7, 0x2B, 0xC8, 0xA9, 0xA7, 0x15),
3522 MBEDTLS_BYTES_TO_T_UINT_8(0x12, 0x4E, 0x7F, 0x98, 0x41, 0x66, 0xB0, 0x03),
3523 MBEDTLS_BYTES_TO_T_UINT_8(0x91, 0x1D, 0xC0, 0x42, 0xCD, 0xF8, 0xC3, 0x2B),
3524 MBEDTLS_BYTES_TO_T_UINT_8(0xCC, 0x41, 0x91, 0x7D, 0xCC, 0x8B, 0xCC, 0x41),
3525 MBEDTLS_BYTES_TO_T_UINT_8(0x2A, 0xAE, 0x76, 0xED, 0x56, 0x18, 0xC5, 0xAB),
3526 MBEDTLS_BYTES_TO_T_UINT_8(0xAB, 0x6A, 0x06, 0xA3, 0x7F, 0x65, 0x10, 0x1F),
kXuanba9cb762021-04-08 14:32:06 +08003527};
3528static const mbedtls_mpi_uint brainpoolP384r1_T_20_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003529 MBEDTLS_BYTES_TO_T_UINT_8(0x0C, 0xEC, 0x3C, 0x05, 0x05, 0xCA, 0xF6, 0xED),
3530 MBEDTLS_BYTES_TO_T_UINT_8(0x48, 0xCD, 0x02, 0x51, 0x12, 0x16, 0x3C, 0x63),
3531 MBEDTLS_BYTES_TO_T_UINT_8(0xA8, 0xEB, 0xB3, 0x43, 0x7B, 0xDD, 0xB2, 0x7C),
3532 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x59, 0x90, 0x41, 0xDB, 0xE4, 0xF5, 0x91),
3533 MBEDTLS_BYTES_TO_T_UINT_8(0xD0, 0x0E, 0x18, 0x2A, 0x5A, 0x83, 0x7C, 0x2F),
3534 MBEDTLS_BYTES_TO_T_UINT_8(0xE1, 0x37, 0xA1, 0x0D, 0xF1, 0x2F, 0x63, 0x79),
kXuanba9cb762021-04-08 14:32:06 +08003535};
3536static const mbedtls_mpi_uint brainpoolP384r1_T_20_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003537 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0xC0, 0xFA, 0x6F, 0x1F, 0x67, 0xCF, 0xEC),
3538 MBEDTLS_BYTES_TO_T_UINT_8(0x98, 0x34, 0x45, 0xBB, 0xF4, 0xF9, 0x9B, 0x89),
3539 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0x69, 0xFE, 0x67, 0x1D, 0x64, 0x8F, 0xB9),
3540 MBEDTLS_BYTES_TO_T_UINT_8(0xDB, 0x39, 0xBF, 0xD8, 0xB3, 0xC7, 0xAD, 0x8A),
3541 MBEDTLS_BYTES_TO_T_UINT_8(0x8C, 0x93, 0xFF, 0xF3, 0x28, 0xFA, 0x39, 0xF6),
3542 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0xF9, 0xC3, 0x85, 0x26, 0x7A, 0x88, 0x89),
kXuanba9cb762021-04-08 14:32:06 +08003543};
3544static const mbedtls_mpi_uint brainpoolP384r1_T_21_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003545 MBEDTLS_BYTES_TO_T_UINT_8(0x4D, 0xD5, 0x79, 0xD8, 0x11, 0xDE, 0xEB, 0x4E),
3546 MBEDTLS_BYTES_TO_T_UINT_8(0x1C, 0x46, 0xA4, 0x6A, 0xDA, 0x74, 0x34, 0xA8),
3547 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0xBD, 0xD3, 0xF5, 0x14, 0xEE, 0xFE, 0xAE),
3548 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0x4C, 0xA3, 0x71, 0x43, 0x65, 0xF8, 0x94),
3549 MBEDTLS_BYTES_TO_T_UINT_8(0x72, 0x6C, 0x35, 0xFA, 0x90, 0x25, 0xD8, 0xE2),
3550 MBEDTLS_BYTES_TO_T_UINT_8(0xBB, 0x34, 0x84, 0x96, 0xA1, 0x43, 0x03, 0x4D),
kXuanba9cb762021-04-08 14:32:06 +08003551};
3552static const mbedtls_mpi_uint brainpoolP384r1_T_21_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003553 MBEDTLS_BYTES_TO_T_UINT_8(0xF1, 0x3B, 0x3B, 0x2F, 0xCA, 0x59, 0xF2, 0x42),
3554 MBEDTLS_BYTES_TO_T_UINT_8(0xCD, 0x48, 0x24, 0x74, 0xD8, 0x72, 0x90, 0xA3),
3555 MBEDTLS_BYTES_TO_T_UINT_8(0x83, 0x42, 0x74, 0x8C, 0x6F, 0x52, 0x19, 0x3D),
3556 MBEDTLS_BYTES_TO_T_UINT_8(0x40, 0x9E, 0x41, 0x63, 0x68, 0x78, 0x4C, 0x2F),
3557 MBEDTLS_BYTES_TO_T_UINT_8(0x53, 0x94, 0xB6, 0x6B, 0x38, 0x52, 0xA8, 0x9F),
3558 MBEDTLS_BYTES_TO_T_UINT_8(0x81, 0x30, 0x25, 0x93, 0xA1, 0x6F, 0x6E, 0x68),
kXuanba9cb762021-04-08 14:32:06 +08003559};
3560static const mbedtls_mpi_uint brainpoolP384r1_T_22_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003561 MBEDTLS_BYTES_TO_T_UINT_8(0xFC, 0x2F, 0x4B, 0x64, 0x79, 0x50, 0xFF, 0x01),
3562 MBEDTLS_BYTES_TO_T_UINT_8(0xD4, 0x36, 0xED, 0x57, 0x39, 0x3B, 0xE7, 0xF3),
3563 MBEDTLS_BYTES_TO_T_UINT_8(0xF1, 0x85, 0xEA, 0x35, 0xD6, 0xC0, 0xA0, 0x52),
3564 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0x89, 0x3A, 0xCC, 0x22, 0x1C, 0x46, 0x02),
3565 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x7A, 0xB0, 0xA1, 0x1B, 0x69, 0x62, 0x55),
3566 MBEDTLS_BYTES_TO_T_UINT_8(0x57, 0xB8, 0x8A, 0x6C, 0x18, 0x85, 0x0D, 0x88),
kXuanba9cb762021-04-08 14:32:06 +08003567};
3568static const mbedtls_mpi_uint brainpoolP384r1_T_22_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003569 MBEDTLS_BYTES_TO_T_UINT_8(0xFD, 0xB6, 0x50, 0xE9, 0x4E, 0x7F, 0xE8, 0x07),
3570 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0x5B, 0x5C, 0xD1, 0x4B, 0x11, 0x9A, 0xD8),
3571 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0x25, 0x56, 0x74, 0x51, 0x9C, 0xEC, 0x9C),
3572 MBEDTLS_BYTES_TO_T_UINT_8(0x55, 0x7F, 0xB6, 0x8A, 0xCB, 0x3A, 0x10, 0x6A),
3573 MBEDTLS_BYTES_TO_T_UINT_8(0x60, 0x33, 0x07, 0x01, 0xE9, 0x49, 0x59, 0xE6),
3574 MBEDTLS_BYTES_TO_T_UINT_8(0xC6, 0xA5, 0x2E, 0xF2, 0xBA, 0x32, 0x63, 0x44),
kXuanba9cb762021-04-08 14:32:06 +08003575};
3576static const mbedtls_mpi_uint brainpoolP384r1_T_23_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003577 MBEDTLS_BYTES_TO_T_UINT_8(0xF8, 0x06, 0x0B, 0xA5, 0x44, 0x27, 0x7F, 0x22),
3578 MBEDTLS_BYTES_TO_T_UINT_8(0x30, 0x74, 0xAC, 0x0F, 0xCC, 0x4F, 0x13, 0x61),
3579 MBEDTLS_BYTES_TO_T_UINT_8(0xFD, 0xB1, 0xBF, 0x97, 0x49, 0xA5, 0x1C, 0x1D),
3580 MBEDTLS_BYTES_TO_T_UINT_8(0x8A, 0x64, 0x68, 0x7B, 0x0F, 0xCC, 0x77, 0xF8),
3581 MBEDTLS_BYTES_TO_T_UINT_8(0xBB, 0x39, 0xF9, 0x4E, 0x84, 0x9C, 0xF6, 0x96),
3582 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0xCF, 0x6D, 0xE2, 0xA1, 0x2D, 0xF9, 0x2B),
kXuanba9cb762021-04-08 14:32:06 +08003583};
3584static const mbedtls_mpi_uint brainpoolP384r1_T_23_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003585 MBEDTLS_BYTES_TO_T_UINT_8(0x95, 0xC4, 0x90, 0x57, 0x31, 0x01, 0x05, 0x5E),
3586 MBEDTLS_BYTES_TO_T_UINT_8(0xCC, 0x1E, 0xBB, 0xBF, 0x98, 0xA4, 0x7C, 0xE3),
3587 MBEDTLS_BYTES_TO_T_UINT_8(0x89, 0xE3, 0xA0, 0xB2, 0xCD, 0x39, 0x9A, 0x3F),
3588 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0x34, 0x60, 0x7A, 0x89, 0x98, 0xB5, 0x52),
3589 MBEDTLS_BYTES_TO_T_UINT_8(0x8D, 0x20, 0x3D, 0x3A, 0x04, 0x8F, 0x5A, 0xAC),
3590 MBEDTLS_BYTES_TO_T_UINT_8(0xA3, 0x26, 0xB6, 0x49, 0x09, 0x9C, 0x0F, 0x59),
kXuanba9cb762021-04-08 14:32:06 +08003591};
3592static const mbedtls_mpi_uint brainpoolP384r1_T_24_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003593 MBEDTLS_BYTES_TO_T_UINT_8(0x72, 0x66, 0xD2, 0x38, 0x2A, 0x62, 0x81, 0xCA),
3594 MBEDTLS_BYTES_TO_T_UINT_8(0xC5, 0xC8, 0x20, 0x5E, 0x28, 0xA3, 0x81, 0xA7),
3595 MBEDTLS_BYTES_TO_T_UINT_8(0x20, 0x31, 0xA4, 0xF1, 0xEA, 0x7D, 0x87, 0x45),
3596 MBEDTLS_BYTES_TO_T_UINT_8(0x8F, 0x2C, 0x99, 0x09, 0x6F, 0x63, 0xEB, 0x2F),
3597 MBEDTLS_BYTES_TO_T_UINT_8(0x73, 0x76, 0xDA, 0x1A, 0x06, 0xBE, 0xDE, 0xA2),
3598 MBEDTLS_BYTES_TO_T_UINT_8(0x29, 0x09, 0x2E, 0x75, 0x39, 0x30, 0x2D, 0x42),
kXuanba9cb762021-04-08 14:32:06 +08003599};
3600static const mbedtls_mpi_uint brainpoolP384r1_T_24_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003601 MBEDTLS_BYTES_TO_T_UINT_8(0x41, 0x9B, 0xC1, 0x5A, 0x17, 0xC3, 0x8C, 0x31),
3602 MBEDTLS_BYTES_TO_T_UINT_8(0x58, 0x8D, 0x94, 0x4D, 0x3D, 0xAB, 0x60, 0xD4),
3603 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xFD, 0x1E, 0x0F, 0x43, 0xAE, 0x9D, 0x62),
3604 MBEDTLS_BYTES_TO_T_UINT_8(0x8E, 0xF2, 0xF3, 0x20, 0x1B, 0xAA, 0xB7, 0x41),
3605 MBEDTLS_BYTES_TO_T_UINT_8(0x9D, 0x5B, 0xA4, 0xF4, 0x90, 0x3B, 0xE3, 0x71),
3606 MBEDTLS_BYTES_TO_T_UINT_8(0xF7, 0x78, 0x72, 0xBD, 0x65, 0x09, 0x0B, 0x01),
kXuanba9cb762021-04-08 14:32:06 +08003607};
3608static const mbedtls_mpi_uint brainpoolP384r1_T_25_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003609 MBEDTLS_BYTES_TO_T_UINT_8(0xCA, 0x37, 0x2A, 0x6C, 0x16, 0x4F, 0x64, 0x59),
3610 MBEDTLS_BYTES_TO_T_UINT_8(0x5A, 0xCE, 0xA3, 0x90, 0xB4, 0x9A, 0xBC, 0xF7),
3611 MBEDTLS_BYTES_TO_T_UINT_8(0x27, 0x38, 0x55, 0x63, 0x1D, 0x3A, 0x6E, 0x18),
3612 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0xB4, 0xAA, 0x99, 0x22, 0x45, 0x89, 0x2C),
3613 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0x7C, 0x8C, 0xA6, 0x3D, 0xA7, 0x3E, 0xE8),
3614 MBEDTLS_BYTES_TO_T_UINT_8(0x70, 0x06, 0x42, 0xDC, 0xA6, 0xE3, 0xC6, 0x12),
kXuanba9cb762021-04-08 14:32:06 +08003615};
3616static const mbedtls_mpi_uint brainpoolP384r1_T_25_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003617 MBEDTLS_BYTES_TO_T_UINT_8(0x55, 0x8C, 0x3D, 0x5D, 0x47, 0x31, 0x7C, 0xEB),
3618 MBEDTLS_BYTES_TO_T_UINT_8(0x46, 0x85, 0xEE, 0x46, 0x7E, 0x13, 0x04, 0x41),
3619 MBEDTLS_BYTES_TO_T_UINT_8(0x9E, 0x3C, 0x8B, 0x43, 0x2E, 0x74, 0xF5, 0xF6),
3620 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0x88, 0x8E, 0x07, 0x29, 0x08, 0x03, 0x26),
3621 MBEDTLS_BYTES_TO_T_UINT_8(0xEA, 0x9B, 0x89, 0xEB, 0x08, 0xE8, 0x43, 0xB5),
3622 MBEDTLS_BYTES_TO_T_UINT_8(0x17, 0x07, 0x67, 0xFD, 0xD9, 0x73, 0x6F, 0x18),
kXuanba9cb762021-04-08 14:32:06 +08003623};
3624static const mbedtls_mpi_uint brainpoolP384r1_T_26_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003625 MBEDTLS_BYTES_TO_T_UINT_8(0x29, 0xEB, 0x21, 0x8D, 0x98, 0x43, 0x74, 0x98),
3626 MBEDTLS_BYTES_TO_T_UINT_8(0x88, 0xCC, 0x14, 0xD8, 0x08, 0xBB, 0xA6, 0xE3),
3627 MBEDTLS_BYTES_TO_T_UINT_8(0xC4, 0x98, 0xF2, 0x6A, 0x18, 0xC3, 0xDD, 0x9E),
3628 MBEDTLS_BYTES_TO_T_UINT_8(0xC7, 0x38, 0x91, 0xA0, 0x03, 0xF2, 0x04, 0x62),
3629 MBEDTLS_BYTES_TO_T_UINT_8(0x7A, 0xAF, 0xE8, 0xFD, 0xFB, 0x13, 0x70, 0x74),
3630 MBEDTLS_BYTES_TO_T_UINT_8(0xD0, 0x93, 0x87, 0x98, 0x4A, 0xE0, 0x00, 0x12),
kXuanba9cb762021-04-08 14:32:06 +08003631};
3632static const mbedtls_mpi_uint brainpoolP384r1_T_26_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003633 MBEDTLS_BYTES_TO_T_UINT_8(0x97, 0x2E, 0x69, 0x9C, 0xA2, 0x2D, 0x03, 0x3F),
3634 MBEDTLS_BYTES_TO_T_UINT_8(0x79, 0xFE, 0xF3, 0xB9, 0xC1, 0x85, 0x2A, 0xEE),
3635 MBEDTLS_BYTES_TO_T_UINT_8(0xCE, 0xFD, 0x86, 0xB1, 0xCD, 0xBF, 0x41, 0xB7),
3636 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0xD8, 0x9A, 0x21, 0xF3, 0xFE, 0xCB, 0xF1),
3637 MBEDTLS_BYTES_TO_T_UINT_8(0x95, 0x78, 0x04, 0x60, 0xB7, 0xA9, 0xA2, 0x84),
3638 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0x1E, 0x66, 0x2A, 0x54, 0x51, 0xBD, 0x8B),
kXuanba9cb762021-04-08 14:32:06 +08003639};
3640static const mbedtls_mpi_uint brainpoolP384r1_T_27_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003641 MBEDTLS_BYTES_TO_T_UINT_8(0x8E, 0x16, 0x36, 0xEF, 0x61, 0x2D, 0xEE, 0x3B),
3642 MBEDTLS_BYTES_TO_T_UINT_8(0x45, 0x5F, 0x88, 0xA0, 0x13, 0x12, 0xF7, 0x23),
3643 MBEDTLS_BYTES_TO_T_UINT_8(0xA9, 0xC6, 0xAD, 0x4A, 0x4A, 0x07, 0x01, 0x5B),
3644 MBEDTLS_BYTES_TO_T_UINT_8(0xB8, 0x74, 0xB1, 0x4F, 0xEB, 0xBD, 0xD5, 0x6B),
3645 MBEDTLS_BYTES_TO_T_UINT_8(0x57, 0xF9, 0x71, 0xA2, 0x06, 0x4F, 0xD7, 0xBC),
3646 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0x8B, 0x4D, 0x48, 0xE0, 0x98, 0xFB, 0x6A),
kXuanba9cb762021-04-08 14:32:06 +08003647};
3648static const mbedtls_mpi_uint brainpoolP384r1_T_27_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003649 MBEDTLS_BYTES_TO_T_UINT_8(0xC4, 0xBA, 0x10, 0xA3, 0x0D, 0x52, 0xAC, 0x3A),
3650 MBEDTLS_BYTES_TO_T_UINT_8(0x11, 0xD0, 0xE0, 0x36, 0xE6, 0x07, 0x3A, 0x30),
3651 MBEDTLS_BYTES_TO_T_UINT_8(0x7E, 0x80, 0xF0, 0xAA, 0x49, 0x22, 0x4B, 0xDD),
3652 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xC7, 0xAB, 0x1C, 0x89, 0xCD, 0x24, 0x40),
3653 MBEDTLS_BYTES_TO_T_UINT_8(0x82, 0x2A, 0xFC, 0xB3, 0x6D, 0x45, 0x96, 0x49),
3654 MBEDTLS_BYTES_TO_T_UINT_8(0x63, 0xE4, 0xDB, 0x52, 0x3F, 0xC4, 0xB4, 0x19),
kXuanba9cb762021-04-08 14:32:06 +08003655};
3656static const mbedtls_mpi_uint brainpoolP384r1_T_28_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003657 MBEDTLS_BYTES_TO_T_UINT_8(0x5B, 0xCC, 0xC8, 0x7F, 0xBB, 0x6B, 0x87, 0x47),
3658 MBEDTLS_BYTES_TO_T_UINT_8(0xC0, 0x21, 0x3C, 0x69, 0x7D, 0x38, 0x57, 0x50),
3659 MBEDTLS_BYTES_TO_T_UINT_8(0x52, 0x4C, 0x18, 0x3C, 0x53, 0xA5, 0x48, 0x6D),
3660 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0xC3, 0x64, 0x45, 0xDB, 0xC4, 0x6D, 0x15),
3661 MBEDTLS_BYTES_TO_T_UINT_8(0x49, 0xCC, 0xD1, 0xBB, 0x17, 0xB8, 0x34, 0x2D),
3662 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x69, 0x71, 0xFA, 0xA0, 0x28, 0x4A, 0x3D),
kXuanba9cb762021-04-08 14:32:06 +08003663};
3664static const mbedtls_mpi_uint brainpoolP384r1_T_28_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003665 MBEDTLS_BYTES_TO_T_UINT_8(0xED, 0xE8, 0x9E, 0x39, 0xEA, 0x8D, 0x38, 0xDB),
3666 MBEDTLS_BYTES_TO_T_UINT_8(0xCC, 0x9C, 0xBB, 0xCD, 0x80, 0x1A, 0xEE, 0xB7),
3667 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0xA0, 0x45, 0xBF, 0xD9, 0x22, 0x11, 0x32),
3668 MBEDTLS_BYTES_TO_T_UINT_8(0xDA, 0x7C, 0x5C, 0xD9, 0xC0, 0x9F, 0x69, 0xF5),
3669 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0x8A, 0xA6, 0x79, 0x4E, 0x35, 0xB9, 0xD5),
3670 MBEDTLS_BYTES_TO_T_UINT_8(0xCC, 0x8B, 0x9A, 0x3E, 0xA1, 0xB8, 0x28, 0x10),
kXuanba9cb762021-04-08 14:32:06 +08003671};
3672static const mbedtls_mpi_uint brainpoolP384r1_T_29_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003673 MBEDTLS_BYTES_TO_T_UINT_8(0x55, 0x2F, 0xEF, 0xBB, 0xA9, 0x72, 0x7F, 0xEA),
3674 MBEDTLS_BYTES_TO_T_UINT_8(0xB5, 0x34, 0xB7, 0x12, 0xB9, 0xE7, 0xC3, 0x2A),
3675 MBEDTLS_BYTES_TO_T_UINT_8(0xF8, 0x1D, 0xD9, 0x42, 0x77, 0x0C, 0x71, 0x6E),
3676 MBEDTLS_BYTES_TO_T_UINT_8(0xEC, 0x01, 0x59, 0xA7, 0x56, 0x03, 0x91, 0x8D),
3677 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x91, 0x99, 0x33, 0x30, 0x3E, 0xEF, 0x13),
3678 MBEDTLS_BYTES_TO_T_UINT_8(0x87, 0xC9, 0x5A, 0x9A, 0x54, 0x66, 0xF1, 0x70),
kXuanba9cb762021-04-08 14:32:06 +08003679};
3680static const mbedtls_mpi_uint brainpoolP384r1_T_29_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003681 MBEDTLS_BYTES_TO_T_UINT_8(0x64, 0x2C, 0xB7, 0x6E, 0x71, 0x7D, 0x35, 0x30),
3682 MBEDTLS_BYTES_TO_T_UINT_8(0x1A, 0x0D, 0xEF, 0xD1, 0x2D, 0x99, 0x63, 0x2F),
3683 MBEDTLS_BYTES_TO_T_UINT_8(0xE4, 0x31, 0xAF, 0x2D, 0xC9, 0xC6, 0xC2, 0xAE),
3684 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0xC0, 0xDF, 0x80, 0x54, 0xC4, 0xAC, 0xF3),
3685 MBEDTLS_BYTES_TO_T_UINT_8(0xE3, 0x6B, 0xA0, 0x84, 0x96, 0xF7, 0x31, 0xC8),
3686 MBEDTLS_BYTES_TO_T_UINT_8(0x93, 0xE2, 0x7C, 0x7A, 0x41, 0x45, 0x75, 0x6A),
kXuanba9cb762021-04-08 14:32:06 +08003687};
3688static const mbedtls_mpi_uint brainpoolP384r1_T_30_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003689 MBEDTLS_BYTES_TO_T_UINT_8(0xAE, 0xEE, 0x58, 0x31, 0xE8, 0x68, 0xD6, 0x76),
3690 MBEDTLS_BYTES_TO_T_UINT_8(0xD2, 0x2E, 0x48, 0xB7, 0x09, 0x9F, 0xD4, 0xCA),
3691 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0xA9, 0x5C, 0xE7, 0x64, 0x43, 0x5D, 0xC9),
3692 MBEDTLS_BYTES_TO_T_UINT_8(0x9E, 0x58, 0x9F, 0x50, 0xAB, 0x68, 0xFF, 0x6D),
3693 MBEDTLS_BYTES_TO_T_UINT_8(0x87, 0x88, 0x2D, 0xBA, 0x12, 0xBF, 0x8D, 0x7D),
3694 MBEDTLS_BYTES_TO_T_UINT_8(0xD4, 0xDF, 0x6F, 0xB3, 0x75, 0xA4, 0x55, 0x73),
kXuanba9cb762021-04-08 14:32:06 +08003695};
3696static const mbedtls_mpi_uint brainpoolP384r1_T_30_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003697 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0x17, 0x92, 0x39, 0xB7, 0x13, 0x37, 0x6F),
3698 MBEDTLS_BYTES_TO_T_UINT_8(0x5E, 0x43, 0x71, 0xA7, 0xCA, 0x17, 0x1B, 0x32),
3699 MBEDTLS_BYTES_TO_T_UINT_8(0xE7, 0xB9, 0xB0, 0x78, 0xEF, 0xA0, 0xDA, 0x83),
3700 MBEDTLS_BYTES_TO_T_UINT_8(0x9A, 0x84, 0xF2, 0x0F, 0x85, 0xA2, 0xB6, 0x1F),
3701 MBEDTLS_BYTES_TO_T_UINT_8(0x72, 0x65, 0x2E, 0x6E, 0x45, 0xB9, 0x4C, 0x3C),
3702 MBEDTLS_BYTES_TO_T_UINT_8(0xFE, 0x6A, 0x8C, 0x2B, 0x77, 0x96, 0x36, 0x22),
kXuanba9cb762021-04-08 14:32:06 +08003703};
3704static const mbedtls_mpi_uint brainpoolP384r1_T_31_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003705 MBEDTLS_BYTES_TO_T_UINT_8(0x68, 0x7A, 0x13, 0x4A, 0x97, 0x63, 0x02, 0x10),
3706 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0x1E, 0x06, 0x03, 0x8F, 0xB9, 0xEE, 0x64),
3707 MBEDTLS_BYTES_TO_T_UINT_8(0x68, 0xEE, 0x8B, 0x89, 0xA9, 0x70, 0xDB, 0xCE),
3708 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0x7B, 0x81, 0xC9, 0x70, 0x8D, 0x62, 0x32),
3709 MBEDTLS_BYTES_TO_T_UINT_8(0x75, 0xDA, 0x46, 0xF8, 0xF9, 0x3A, 0xBE, 0x55),
3710 MBEDTLS_BYTES_TO_T_UINT_8(0x9F, 0x9C, 0x7A, 0x97, 0x62, 0xEB, 0xFA, 0x0F),
kXuanba9cb762021-04-08 14:32:06 +08003711};
3712static const mbedtls_mpi_uint brainpoolP384r1_T_31_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003713 MBEDTLS_BYTES_TO_T_UINT_8(0xB2, 0x03, 0x3D, 0x3C, 0x46, 0x27, 0x9E, 0x65),
3714 MBEDTLS_BYTES_TO_T_UINT_8(0xA4, 0x08, 0x1C, 0xD5, 0x25, 0xAF, 0xE9, 0x40),
3715 MBEDTLS_BYTES_TO_T_UINT_8(0xFE, 0x69, 0xDC, 0x59, 0xF4, 0x8A, 0x7C, 0x1F),
3716 MBEDTLS_BYTES_TO_T_UINT_8(0xFC, 0x9A, 0x7A, 0x99, 0x21, 0x0C, 0x4E, 0xE3),
3717 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0xCE, 0x85, 0x5F, 0xAC, 0xAA, 0x82, 0x10),
3718 MBEDTLS_BYTES_TO_T_UINT_8(0x83, 0x57, 0x69, 0x90, 0x76, 0xF3, 0x53, 0x3F),
kXuanba9cb762021-04-08 14:32:06 +08003719};
3720static const mbedtls_ecp_point brainpoolP384r1_T[32] = {
3721 ECP_POINT_INIT_XY_Z1(brainpoolP384r1_T_0_X, brainpoolP384r1_T_0_Y),
3722 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_1_X, brainpoolP384r1_T_1_Y),
3723 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_2_X, brainpoolP384r1_T_2_Y),
3724 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_3_X, brainpoolP384r1_T_3_Y),
3725 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_4_X, brainpoolP384r1_T_4_Y),
3726 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_5_X, brainpoolP384r1_T_5_Y),
3727 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_6_X, brainpoolP384r1_T_6_Y),
3728 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_7_X, brainpoolP384r1_T_7_Y),
3729 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_8_X, brainpoolP384r1_T_8_Y),
3730 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_9_X, brainpoolP384r1_T_9_Y),
3731 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_10_X, brainpoolP384r1_T_10_Y),
3732 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_11_X, brainpoolP384r1_T_11_Y),
3733 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_12_X, brainpoolP384r1_T_12_Y),
3734 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_13_X, brainpoolP384r1_T_13_Y),
3735 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_14_X, brainpoolP384r1_T_14_Y),
3736 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_15_X, brainpoolP384r1_T_15_Y),
3737 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_16_X, brainpoolP384r1_T_16_Y),
3738 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_17_X, brainpoolP384r1_T_17_Y),
3739 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_18_X, brainpoolP384r1_T_18_Y),
3740 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_19_X, brainpoolP384r1_T_19_Y),
3741 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_20_X, brainpoolP384r1_T_20_Y),
3742 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_21_X, brainpoolP384r1_T_21_Y),
3743 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_22_X, brainpoolP384r1_T_22_Y),
3744 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_23_X, brainpoolP384r1_T_23_Y),
3745 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_24_X, brainpoolP384r1_T_24_Y),
3746 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_25_X, brainpoolP384r1_T_25_Y),
3747 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_26_X, brainpoolP384r1_T_26_Y),
3748 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_27_X, brainpoolP384r1_T_27_Y),
3749 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_28_X, brainpoolP384r1_T_28_Y),
3750 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_29_X, brainpoolP384r1_T_29_Y),
3751 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_30_X, brainpoolP384r1_T_30_Y),
3752 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_31_X, brainpoolP384r1_T_31_Y),
3753};
3754#else
3755#define brainpoolP384r1_T NULL
3756#endif
3757
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003758#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01003759
3760/*
3761 * Domain parameters for brainpoolP512r1 (RFC 5639 3.7)
3762 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003763#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
3764static const mbedtls_mpi_uint brainpoolP512r1_p[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003765 MBEDTLS_BYTES_TO_T_UINT_8(0xF3, 0x48, 0x3A, 0x58, 0x56, 0x60, 0xAA, 0x28),
3766 MBEDTLS_BYTES_TO_T_UINT_8(0x85, 0xC6, 0x82, 0x2D, 0x2F, 0xFF, 0x81, 0x28),
3767 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0x80, 0xA3, 0xE6, 0x2A, 0xA1, 0xCD, 0xAE),
3768 MBEDTLS_BYTES_TO_T_UINT_8(0x42, 0x68, 0xC6, 0x9B, 0x00, 0x9B, 0x4D, 0x7D),
3769 MBEDTLS_BYTES_TO_T_UINT_8(0x71, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6),
3770 MBEDTLS_BYTES_TO_T_UINT_8(0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB),
3771 MBEDTLS_BYTES_TO_T_UINT_8(0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F),
3772 MBEDTLS_BYTES_TO_T_UINT_8(0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003773};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003774static const mbedtls_mpi_uint brainpoolP512r1_a[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003775 MBEDTLS_BYTES_TO_T_UINT_8(0xCA, 0x94, 0xFC, 0x77, 0x4D, 0xAC, 0xC1, 0xE7),
3776 MBEDTLS_BYTES_TO_T_UINT_8(0xB9, 0xC7, 0xF2, 0x2B, 0xA7, 0x17, 0x11, 0x7F),
3777 MBEDTLS_BYTES_TO_T_UINT_8(0xB5, 0xC8, 0x9A, 0x8B, 0xC9, 0xF1, 0x2E, 0x0A),
3778 MBEDTLS_BYTES_TO_T_UINT_8(0xA1, 0x3A, 0x25, 0xA8, 0x5A, 0x5D, 0xED, 0x2D),
3779 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0x63, 0x98, 0xEA, 0xCA, 0x41, 0x34, 0xA8),
3780 MBEDTLS_BYTES_TO_T_UINT_8(0x10, 0x16, 0xF9, 0x3D, 0x8D, 0xDD, 0xCB, 0x94),
3781 MBEDTLS_BYTES_TO_T_UINT_8(0xC5, 0x4C, 0x23, 0xAC, 0x45, 0x71, 0x32, 0xE2),
3782 MBEDTLS_BYTES_TO_T_UINT_8(0x89, 0x3B, 0x60, 0x8B, 0x31, 0xA3, 0x30, 0x78),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003783};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003784static const mbedtls_mpi_uint brainpoolP512r1_b[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003785 MBEDTLS_BYTES_TO_T_UINT_8(0x23, 0xF7, 0x16, 0x80, 0x63, 0xBD, 0x09, 0x28),
3786 MBEDTLS_BYTES_TO_T_UINT_8(0xDD, 0xE5, 0xBA, 0x5E, 0xB7, 0x50, 0x40, 0x98),
3787 MBEDTLS_BYTES_TO_T_UINT_8(0x67, 0x3E, 0x08, 0xDC, 0xCA, 0x94, 0xFC, 0x77),
3788 MBEDTLS_BYTES_TO_T_UINT_8(0x4D, 0xAC, 0xC1, 0xE7, 0xB9, 0xC7, 0xF2, 0x2B),
3789 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0x17, 0x11, 0x7F, 0xB5, 0xC8, 0x9A, 0x8B),
3790 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0xF1, 0x2E, 0x0A, 0xA1, 0x3A, 0x25, 0xA8),
3791 MBEDTLS_BYTES_TO_T_UINT_8(0x5A, 0x5D, 0xED, 0x2D, 0xBC, 0x63, 0x98, 0xEA),
3792 MBEDTLS_BYTES_TO_T_UINT_8(0xCA, 0x41, 0x34, 0xA8, 0x10, 0x16, 0xF9, 0x3D),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003793};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003794static const mbedtls_mpi_uint brainpoolP512r1_gx[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003795 MBEDTLS_BYTES_TO_T_UINT_8(0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B),
3796 MBEDTLS_BYTES_TO_T_UINT_8(0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C),
3797 MBEDTLS_BYTES_TO_T_UINT_8(0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50),
3798 MBEDTLS_BYTES_TO_T_UINT_8(0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF),
3799 MBEDTLS_BYTES_TO_T_UINT_8(0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4),
3800 MBEDTLS_BYTES_TO_T_UINT_8(0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85),
3801 MBEDTLS_BYTES_TO_T_UINT_8(0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A),
3802 MBEDTLS_BYTES_TO_T_UINT_8(0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003803};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003804static const mbedtls_mpi_uint brainpoolP512r1_gy[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003805 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78),
3806 MBEDTLS_BYTES_TO_T_UINT_8(0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1),
3807 MBEDTLS_BYTES_TO_T_UINT_8(0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B),
3808 MBEDTLS_BYTES_TO_T_UINT_8(0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2),
3809 MBEDTLS_BYTES_TO_T_UINT_8(0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0),
3810 MBEDTLS_BYTES_TO_T_UINT_8(0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2),
3811 MBEDTLS_BYTES_TO_T_UINT_8(0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0),
3812 MBEDTLS_BYTES_TO_T_UINT_8(0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003813};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003814static const mbedtls_mpi_uint brainpoolP512r1_n[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003815 MBEDTLS_BYTES_TO_T_UINT_8(0x69, 0x00, 0xA9, 0x9C, 0x82, 0x96, 0x87, 0xB5),
3816 MBEDTLS_BYTES_TO_T_UINT_8(0xDD, 0xDA, 0x5D, 0x08, 0x81, 0xD3, 0xB1, 0x1D),
3817 MBEDTLS_BYTES_TO_T_UINT_8(0x47, 0x10, 0xAC, 0x7F, 0x19, 0x61, 0x86, 0x41),
3818 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0x26, 0xA9, 0x4C, 0x41, 0x5C, 0x3E, 0x55),
3819 MBEDTLS_BYTES_TO_T_UINT_8(0x70, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6),
3820 MBEDTLS_BYTES_TO_T_UINT_8(0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB),
3821 MBEDTLS_BYTES_TO_T_UINT_8(0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F),
3822 MBEDTLS_BYTES_TO_T_UINT_8(0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003823};
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01003824
kXuanba9cb762021-04-08 14:32:06 +08003825#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
3826static const mbedtls_mpi_uint brainpoolP512r1_T_0_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003827 MBEDTLS_BYTES_TO_T_UINT_8(0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B),
3828 MBEDTLS_BYTES_TO_T_UINT_8(0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C),
3829 MBEDTLS_BYTES_TO_T_UINT_8(0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50),
3830 MBEDTLS_BYTES_TO_T_UINT_8(0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF),
3831 MBEDTLS_BYTES_TO_T_UINT_8(0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4),
3832 MBEDTLS_BYTES_TO_T_UINT_8(0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85),
3833 MBEDTLS_BYTES_TO_T_UINT_8(0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A),
3834 MBEDTLS_BYTES_TO_T_UINT_8(0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81),
kXuanba9cb762021-04-08 14:32:06 +08003835};
3836static const mbedtls_mpi_uint brainpoolP512r1_T_0_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003837 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78),
3838 MBEDTLS_BYTES_TO_T_UINT_8(0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1),
3839 MBEDTLS_BYTES_TO_T_UINT_8(0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B),
3840 MBEDTLS_BYTES_TO_T_UINT_8(0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2),
3841 MBEDTLS_BYTES_TO_T_UINT_8(0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0),
3842 MBEDTLS_BYTES_TO_T_UINT_8(0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2),
3843 MBEDTLS_BYTES_TO_T_UINT_8(0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0),
3844 MBEDTLS_BYTES_TO_T_UINT_8(0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D),
kXuanba9cb762021-04-08 14:32:06 +08003845};
3846static const mbedtls_mpi_uint brainpoolP512r1_T_1_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003847 MBEDTLS_BYTES_TO_T_UINT_8(0xEA, 0xE9, 0x6B, 0x8C, 0x6F, 0x9D, 0x88, 0x43),
3848 MBEDTLS_BYTES_TO_T_UINT_8(0xBB, 0x4F, 0x86, 0x96, 0xA7, 0x56, 0xD1, 0x37),
3849 MBEDTLS_BYTES_TO_T_UINT_8(0x9D, 0xAB, 0xFA, 0xEE, 0xA7, 0xF5, 0x0E, 0xA6),
3850 MBEDTLS_BYTES_TO_T_UINT_8(0xE3, 0x40, 0xEF, 0x9E, 0x6D, 0xD6, 0x32, 0x33),
3851 MBEDTLS_BYTES_TO_T_UINT_8(0xE3, 0xED, 0x56, 0x14, 0x57, 0x1A, 0x8D, 0x69),
3852 MBEDTLS_BYTES_TO_T_UINT_8(0xA4, 0xED, 0x4D, 0x3A, 0xFA, 0x71, 0x75, 0x6B),
3853 MBEDTLS_BYTES_TO_T_UINT_8(0x66, 0xC5, 0x76, 0x1C, 0x14, 0xBE, 0xB5, 0xCD),
3854 MBEDTLS_BYTES_TO_T_UINT_8(0xE1, 0x5A, 0xCB, 0xE7, 0x36, 0x1D, 0x52, 0x1C),
kXuanba9cb762021-04-08 14:32:06 +08003855};
3856static const mbedtls_mpi_uint brainpoolP512r1_T_1_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003857 MBEDTLS_BYTES_TO_T_UINT_8(0x6B, 0x8D, 0x7A, 0xEB, 0xA3, 0x8B, 0xD5, 0xB0),
3858 MBEDTLS_BYTES_TO_T_UINT_8(0x1F, 0xA3, 0x41, 0xF8, 0xAC, 0x9E, 0xAB, 0x74),
3859 MBEDTLS_BYTES_TO_T_UINT_8(0x12, 0xE3, 0x65, 0x0D, 0x1C, 0xFE, 0x09, 0x2B),
3860 MBEDTLS_BYTES_TO_T_UINT_8(0x3F, 0xCA, 0x13, 0x3F, 0xC5, 0xF9, 0x7E, 0xEC),
3861 MBEDTLS_BYTES_TO_T_UINT_8(0x2C, 0x5D, 0x63, 0x28, 0xA6, 0x89, 0xD3, 0x91),
3862 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0x95, 0x3F, 0x7A, 0x82, 0xD4, 0x77, 0xE3),
3863 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0xBB, 0x92, 0x32, 0x00, 0xF4, 0x66, 0x42),
3864 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0x58, 0x31, 0xD1, 0x17, 0x9F, 0x2A, 0x22),
kXuanba9cb762021-04-08 14:32:06 +08003865};
3866static const mbedtls_mpi_uint brainpoolP512r1_T_2_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003867 MBEDTLS_BYTES_TO_T_UINT_8(0x52, 0x36, 0xA9, 0xCD, 0x80, 0xA5, 0x2D, 0x78),
3868 MBEDTLS_BYTES_TO_T_UINT_8(0x91, 0x44, 0xAB, 0xCE, 0x71, 0xFF, 0x0C, 0x9B),
3869 MBEDTLS_BYTES_TO_T_UINT_8(0x18, 0x24, 0x58, 0x35, 0x5A, 0x21, 0x32, 0x93),
3870 MBEDTLS_BYTES_TO_T_UINT_8(0x1B, 0xA6, 0x28, 0xF8, 0x7A, 0x97, 0xAE, 0x8B),
3871 MBEDTLS_BYTES_TO_T_UINT_8(0x84, 0xE7, 0x08, 0xFA, 0x47, 0xC9, 0x55, 0x09),
3872 MBEDTLS_BYTES_TO_T_UINT_8(0x8D, 0xAC, 0x2E, 0x84, 0xA4, 0xF5, 0x52, 0xC4),
3873 MBEDTLS_BYTES_TO_T_UINT_8(0xD9, 0x58, 0x05, 0x9D, 0xA7, 0xC8, 0x71, 0xBF),
3874 MBEDTLS_BYTES_TO_T_UINT_8(0xB3, 0x92, 0xB4, 0x92, 0xC1, 0x92, 0xEC, 0x6B),
kXuanba9cb762021-04-08 14:32:06 +08003875};
3876static const mbedtls_mpi_uint brainpoolP512r1_T_2_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003877 MBEDTLS_BYTES_TO_T_UINT_8(0x4A, 0x48, 0x2D, 0x79, 0x5E, 0x58, 0xE5, 0x69),
3878 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0x85, 0x26, 0xEC, 0xE9, 0x6E, 0xD4, 0x06),
3879 MBEDTLS_BYTES_TO_T_UINT_8(0x98, 0x68, 0x26, 0x87, 0x38, 0xA2, 0xD2, 0x0B),
3880 MBEDTLS_BYTES_TO_T_UINT_8(0xF7, 0x17, 0x60, 0xCE, 0x75, 0xF8, 0xA5, 0x6F),
3881 MBEDTLS_BYTES_TO_T_UINT_8(0x20, 0x51, 0xDB, 0xA9, 0xAE, 0x87, 0xF1, 0x15),
3882 MBEDTLS_BYTES_TO_T_UINT_8(0xDD, 0x49, 0x92, 0x3B, 0x19, 0x96, 0xF5, 0xB0),
3883 MBEDTLS_BYTES_TO_T_UINT_8(0xC4, 0xD5, 0x52, 0x52, 0x8C, 0xCE, 0xFD, 0xFA),
3884 MBEDTLS_BYTES_TO_T_UINT_8(0x24, 0x18, 0x0A, 0xE6, 0xF6, 0xAE, 0x08, 0x41),
kXuanba9cb762021-04-08 14:32:06 +08003885};
3886static const mbedtls_mpi_uint brainpoolP512r1_T_3_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003887 MBEDTLS_BYTES_TO_T_UINT_8(0x7E, 0x2B, 0xD8, 0x54, 0xCE, 0xB0, 0x57, 0xFE),
3888 MBEDTLS_BYTES_TO_T_UINT_8(0x8A, 0xB0, 0xF8, 0x9E, 0x03, 0x03, 0x3C, 0x5D),
3889 MBEDTLS_BYTES_TO_T_UINT_8(0x93, 0x0E, 0x29, 0x29, 0x00, 0xF3, 0x70, 0xBF),
3890 MBEDTLS_BYTES_TO_T_UINT_8(0x54, 0x33, 0x99, 0x0E, 0x00, 0x5D, 0xFE, 0x4B),
3891 MBEDTLS_BYTES_TO_T_UINT_8(0x46, 0x2D, 0xF2, 0x59, 0x32, 0xCF, 0x03, 0xF4),
3892 MBEDTLS_BYTES_TO_T_UINT_8(0x3B, 0xC9, 0x72, 0xAE, 0x0C, 0xEF, 0xD1, 0x5B),
3893 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x5A, 0x27, 0xBF, 0x2F, 0x45, 0xF9, 0x51),
3894 MBEDTLS_BYTES_TO_T_UINT_8(0xD4, 0xBE, 0xE5, 0x2C, 0xFF, 0x5B, 0x1E, 0x88),
kXuanba9cb762021-04-08 14:32:06 +08003895};
3896static const mbedtls_mpi_uint brainpoolP512r1_T_3_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003897 MBEDTLS_BYTES_TO_T_UINT_8(0xAA, 0xAC, 0xBB, 0xD8, 0x83, 0xC2, 0x46, 0xF6),
3898 MBEDTLS_BYTES_TO_T_UINT_8(0xCF, 0xDC, 0xCE, 0x15, 0xB4, 0xEF, 0xCF, 0x46),
3899 MBEDTLS_BYTES_TO_T_UINT_8(0x46, 0xDB, 0x5E, 0x94, 0x31, 0x0B, 0xB2, 0x7A),
3900 MBEDTLS_BYTES_TO_T_UINT_8(0x3C, 0xB9, 0xE3, 0xE3, 0x11, 0x71, 0x41, 0x1E),
3901 MBEDTLS_BYTES_TO_T_UINT_8(0x36, 0xE3, 0x01, 0xB7, 0x7D, 0xBC, 0x65, 0xBE),
3902 MBEDTLS_BYTES_TO_T_UINT_8(0xFC, 0x07, 0x65, 0x87, 0xA7, 0xE8, 0x48, 0xE3),
3903 MBEDTLS_BYTES_TO_T_UINT_8(0x66, 0x48, 0x8F, 0xD4, 0x30, 0x8E, 0xB4, 0x6C),
3904 MBEDTLS_BYTES_TO_T_UINT_8(0x86, 0xE0, 0x73, 0xBE, 0x1E, 0xBF, 0x56, 0x36),
kXuanba9cb762021-04-08 14:32:06 +08003905};
3906static const mbedtls_mpi_uint brainpoolP512r1_T_4_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003907 MBEDTLS_BYTES_TO_T_UINT_8(0xFE, 0x0E, 0x5E, 0x87, 0xC5, 0xAB, 0x0E, 0x3C),
3908 MBEDTLS_BYTES_TO_T_UINT_8(0xB9, 0xF9, 0x5F, 0x80, 0x24, 0x4C, 0x2A, 0xF1),
3909 MBEDTLS_BYTES_TO_T_UINT_8(0xDE, 0x15, 0x21, 0x54, 0x92, 0x84, 0x8D, 0x6A),
3910 MBEDTLS_BYTES_TO_T_UINT_8(0xA8, 0x8A, 0x47, 0x74, 0xDC, 0x42, 0xB1, 0xF8),
3911 MBEDTLS_BYTES_TO_T_UINT_8(0x81, 0xF7, 0x30, 0xFD, 0xC1, 0x9B, 0x0C, 0x5B),
3912 MBEDTLS_BYTES_TO_T_UINT_8(0x4E, 0x6C, 0xCC, 0xDF, 0xC5, 0xE3, 0xA9, 0xD5),
3913 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0x67, 0x59, 0x10, 0x5C, 0x51, 0x54, 0x40),
3914 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0x37, 0xFB, 0x6E, 0xB0, 0x78, 0x63, 0x8E),
kXuanba9cb762021-04-08 14:32:06 +08003915};
3916static const mbedtls_mpi_uint brainpoolP512r1_T_4_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003917 MBEDTLS_BYTES_TO_T_UINT_8(0xA5, 0xEF, 0xC4, 0x39, 0x20, 0xF1, 0x46, 0x66),
3918 MBEDTLS_BYTES_TO_T_UINT_8(0xE2, 0x62, 0xAE, 0xFF, 0x10, 0xE4, 0xE2, 0xE9),
3919 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0x5C, 0xF5, 0x2E, 0x22, 0x89, 0xE5, 0x82),
3920 MBEDTLS_BYTES_TO_T_UINT_8(0x89, 0x0C, 0x29, 0xA8, 0x62, 0xAE, 0xDB, 0x65),
3921 MBEDTLS_BYTES_TO_T_UINT_8(0xD7, 0x9E, 0x0F, 0xCA, 0x87, 0x2A, 0x6F, 0x7B),
3922 MBEDTLS_BYTES_TO_T_UINT_8(0xCE, 0xDC, 0x9B, 0x9F, 0x65, 0xD4, 0xAD, 0x27),
3923 MBEDTLS_BYTES_TO_T_UINT_8(0xED, 0xC3, 0x08, 0x0F, 0xCF, 0x67, 0xE9, 0xF4),
3924 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0x5C, 0xD7, 0xFF, 0x41, 0x9C, 0xCB, 0x26),
kXuanba9cb762021-04-08 14:32:06 +08003925};
3926static const mbedtls_mpi_uint brainpoolP512r1_T_5_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003927 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0x25, 0x05, 0x12, 0xAD, 0x73, 0x63, 0x90),
3928 MBEDTLS_BYTES_TO_T_UINT_8(0xC7, 0x99, 0x07, 0x86, 0x57, 0xE7, 0x94, 0xB1),
3929 MBEDTLS_BYTES_TO_T_UINT_8(0x00, 0x4B, 0xA5, 0xBF, 0x18, 0xA9, 0xEF, 0x6A),
3930 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0x4C, 0xC4, 0x09, 0xF2, 0x2F, 0x0C, 0xAA),
3931 MBEDTLS_BYTES_TO_T_UINT_8(0x8C, 0x3A, 0x04, 0xEA, 0x89, 0x6C, 0x91, 0xB9),
3932 MBEDTLS_BYTES_TO_T_UINT_8(0x7D, 0x6C, 0x3A, 0xE7, 0xA3, 0xEC, 0x24, 0x7B),
3933 MBEDTLS_BYTES_TO_T_UINT_8(0x16, 0xA1, 0x26, 0x21, 0x04, 0xE3, 0xB9, 0x40),
3934 MBEDTLS_BYTES_TO_T_UINT_8(0x53, 0x71, 0x4B, 0x7B, 0xC2, 0x89, 0xCD, 0xA2),
kXuanba9cb762021-04-08 14:32:06 +08003935};
3936static const mbedtls_mpi_uint brainpoolP512r1_T_5_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003937 MBEDTLS_BYTES_TO_T_UINT_8(0xB7, 0xB9, 0xA8, 0x9D, 0xFD, 0x00, 0x3A, 0x1F),
3938 MBEDTLS_BYTES_TO_T_UINT_8(0x63, 0x41, 0x6C, 0xBB, 0x5A, 0xCA, 0x1F, 0x74),
3939 MBEDTLS_BYTES_TO_T_UINT_8(0x2A, 0xD7, 0xE2, 0x6C, 0x6B, 0xA7, 0x48, 0xC9),
3940 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0x19, 0xAD, 0xA7, 0xC1, 0x7E, 0x4F, 0x6E),
3941 MBEDTLS_BYTES_TO_T_UINT_8(0xD1, 0xF7, 0x19, 0x3C, 0x06, 0x74, 0x2C, 0x3A),
3942 MBEDTLS_BYTES_TO_T_UINT_8(0xC5, 0x23, 0x4F, 0x0C, 0x09, 0xB0, 0x80, 0x4A),
3943 MBEDTLS_BYTES_TO_T_UINT_8(0x4E, 0x74, 0x34, 0x08, 0x44, 0x7E, 0xA3, 0xDD),
3944 MBEDTLS_BYTES_TO_T_UINT_8(0xFB, 0xCC, 0x8D, 0x12, 0x6E, 0xE1, 0x3D, 0x0B),
kXuanba9cb762021-04-08 14:32:06 +08003945};
3946static const mbedtls_mpi_uint brainpoolP512r1_T_6_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003947 MBEDTLS_BYTES_TO_T_UINT_8(0x38, 0x18, 0xB1, 0x71, 0x02, 0x93, 0xC2, 0xA4),
3948 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0x89, 0x40, 0xE2, 0x1F, 0xE7, 0x5E, 0x68),
3949 MBEDTLS_BYTES_TO_T_UINT_8(0x50, 0x8E, 0xAE, 0x89, 0x01, 0xD4, 0x0C, 0xEB),
3950 MBEDTLS_BYTES_TO_T_UINT_8(0xAE, 0xDA, 0x58, 0x70, 0x24, 0xF2, 0xE4, 0x5F),
3951 MBEDTLS_BYTES_TO_T_UINT_8(0x6F, 0xC7, 0x1D, 0xD6, 0x4A, 0x6F, 0x66, 0x4F),
3952 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0x1D, 0x7E, 0x4A, 0x2C, 0xCA, 0xEC, 0x3B),
3953 MBEDTLS_BYTES_TO_T_UINT_8(0xA1, 0x06, 0x7F, 0xA8, 0x99, 0xE4, 0xD3, 0x4E),
3954 MBEDTLS_BYTES_TO_T_UINT_8(0x2A, 0x1D, 0x5A, 0xDF, 0x5E, 0x58, 0x36, 0x49),
kXuanba9cb762021-04-08 14:32:06 +08003955};
3956static const mbedtls_mpi_uint brainpoolP512r1_T_6_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003957 MBEDTLS_BYTES_TO_T_UINT_8(0x9C, 0xB9, 0x32, 0x69, 0x1F, 0x72, 0x2A, 0xB3),
3958 MBEDTLS_BYTES_TO_T_UINT_8(0x1C, 0x73, 0xE2, 0x03, 0x39, 0x35, 0xAA, 0xA8),
3959 MBEDTLS_BYTES_TO_T_UINT_8(0xEB, 0x5E, 0x5D, 0x48, 0xEF, 0xAE, 0x30, 0xF5),
3960 MBEDTLS_BYTES_TO_T_UINT_8(0x77, 0x7F, 0x60, 0x19, 0xAF, 0xEC, 0x9D, 0xFC),
3961 MBEDTLS_BYTES_TO_T_UINT_8(0xCA, 0xD9, 0x19, 0xE4, 0x1B, 0x56, 0x15, 0x5F),
3962 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0xD7, 0x33, 0x59, 0x1F, 0x43, 0x59, 0x2C),
3963 MBEDTLS_BYTES_TO_T_UINT_8(0xC6, 0xCE, 0xEE, 0xCA, 0xA4, 0x7F, 0x63, 0xD4),
3964 MBEDTLS_BYTES_TO_T_UINT_8(0xBD, 0x40, 0xC0, 0xF6, 0x19, 0x89, 0x43, 0x20),
kXuanba9cb762021-04-08 14:32:06 +08003965};
3966static const mbedtls_mpi_uint brainpoolP512r1_T_7_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003967 MBEDTLS_BYTES_TO_T_UINT_8(0xEB, 0x92, 0xEA, 0x07, 0x65, 0x79, 0x86, 0xD3),
3968 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0xB7, 0x13, 0x75, 0xD3, 0xC5, 0x0A, 0xC9),
3969 MBEDTLS_BYTES_TO_T_UINT_8(0x26, 0x9E, 0xFA, 0xE1, 0x1F, 0x0C, 0xF9, 0x74),
3970 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0x8C, 0xED, 0x5C, 0x21, 0xE9, 0x09, 0xDD),
3971 MBEDTLS_BYTES_TO_T_UINT_8(0xF4, 0x4D, 0xD8, 0x18, 0xC4, 0xF6, 0x36, 0x39),
3972 MBEDTLS_BYTES_TO_T_UINT_8(0xC7, 0xC9, 0xAC, 0x5C, 0xFA, 0x69, 0xA4, 0xA0),
3973 MBEDTLS_BYTES_TO_T_UINT_8(0x6B, 0x8C, 0x94, 0x1C, 0x7B, 0x71, 0x36, 0x58),
3974 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0xBD, 0x46, 0xCE, 0xB7, 0x1D, 0x9C, 0x5E),
kXuanba9cb762021-04-08 14:32:06 +08003975};
3976static const mbedtls_mpi_uint brainpoolP512r1_T_7_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003977 MBEDTLS_BYTES_TO_T_UINT_8(0xEA, 0xD6, 0x96, 0x4B, 0xA6, 0x47, 0xEB, 0xE5),
3978 MBEDTLS_BYTES_TO_T_UINT_8(0x5F, 0xF1, 0x5F, 0x15, 0xDE, 0x99, 0x6F, 0x66),
3979 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0xBD, 0xE5, 0x04, 0xB8, 0xE6, 0xC0, 0x0B),
3980 MBEDTLS_BYTES_TO_T_UINT_8(0x49, 0xD3, 0xF0, 0x04, 0x00, 0xE4, 0x05, 0xDB),
3981 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0xF3, 0x06, 0xA3, 0x1A, 0xFF, 0xEA, 0x73),
3982 MBEDTLS_BYTES_TO_T_UINT_8(0x08, 0x32, 0xAA, 0x99, 0x33, 0x09, 0xB6, 0x34),
3983 MBEDTLS_BYTES_TO_T_UINT_8(0x6E, 0xEF, 0xFC, 0x61, 0x10, 0x42, 0x31, 0x94),
3984 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0xF1, 0xF4, 0x33, 0xCF, 0x28, 0x90, 0x9C),
kXuanba9cb762021-04-08 14:32:06 +08003985};
3986static const mbedtls_mpi_uint brainpoolP512r1_T_8_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003987 MBEDTLS_BYTES_TO_T_UINT_8(0x10, 0xDE, 0xF9, 0x88, 0x87, 0x7B, 0xEB, 0xC9),
3988 MBEDTLS_BYTES_TO_T_UINT_8(0x66, 0xB8, 0xDA, 0xFA, 0xDA, 0x3D, 0xA6, 0x17),
3989 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0xF0, 0x62, 0x82, 0x53, 0x32, 0x55, 0x03),
3990 MBEDTLS_BYTES_TO_T_UINT_8(0x2F, 0xA5, 0x32, 0x4A, 0x19, 0x11, 0x9C, 0x10),
3991 MBEDTLS_BYTES_TO_T_UINT_8(0x16, 0xB3, 0x27, 0xE9, 0x75, 0x90, 0x05, 0x2D),
3992 MBEDTLS_BYTES_TO_T_UINT_8(0x63, 0x1C, 0x90, 0x48, 0x77, 0x01, 0x85, 0x1B),
3993 MBEDTLS_BYTES_TO_T_UINT_8(0xC7, 0xD6, 0x9B, 0x84, 0xA8, 0xD7, 0xC5, 0x28),
3994 MBEDTLS_BYTES_TO_T_UINT_8(0xE1, 0x7A, 0xCB, 0xB3, 0x11, 0x46, 0xD7, 0x99),
kXuanba9cb762021-04-08 14:32:06 +08003995};
3996static const mbedtls_mpi_uint brainpoolP512r1_T_8_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01003997 MBEDTLS_BYTES_TO_T_UINT_8(0x8B, 0x23, 0xBF, 0x75, 0x75, 0xA1, 0x95, 0x90),
3998 MBEDTLS_BYTES_TO_T_UINT_8(0x4B, 0x66, 0x5D, 0x34, 0x13, 0xA9, 0x03, 0xBE),
3999 MBEDTLS_BYTES_TO_T_UINT_8(0x29, 0x80, 0x9D, 0x5F, 0xD2, 0x44, 0xE1, 0x62),
4000 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0x5D, 0xBD, 0xA8, 0xBF, 0xB4, 0x25, 0x1F),
4001 MBEDTLS_BYTES_TO_T_UINT_8(0x6A, 0x99, 0x1F, 0x53, 0xF1, 0x57, 0xDB, 0xE7),
4002 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0x7C, 0xE5, 0xC5, 0x51, 0x0B, 0x4C, 0x9B),
4003 MBEDTLS_BYTES_TO_T_UINT_8(0x6B, 0xB0, 0x1A, 0x9C, 0x16, 0xB0, 0x32, 0x1F),
4004 MBEDTLS_BYTES_TO_T_UINT_8(0xF4, 0xE3, 0xCF, 0xDD, 0x48, 0xB4, 0x7B, 0x33),
kXuanba9cb762021-04-08 14:32:06 +08004005};
4006static const mbedtls_mpi_uint brainpoolP512r1_T_9_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004007 MBEDTLS_BYTES_TO_T_UINT_8(0xC0, 0xDD, 0x9E, 0x3C, 0x98, 0x0E, 0x77, 0x65),
4008 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0xAB, 0x01, 0xD3, 0x87, 0x74, 0x25, 0x4A),
4009 MBEDTLS_BYTES_TO_T_UINT_8(0x87, 0xA3, 0xE3, 0x76, 0x43, 0x87, 0x12, 0xBD),
4010 MBEDTLS_BYTES_TO_T_UINT_8(0x54, 0xB1, 0x3B, 0x60, 0x66, 0xEB, 0x98, 0x54),
4011 MBEDTLS_BYTES_TO_T_UINT_8(0xD2, 0x78, 0xC8, 0xD7, 0x4E, 0x75, 0xCA, 0x69),
4012 MBEDTLS_BYTES_TO_T_UINT_8(0x07, 0xDF, 0x71, 0x19, 0xE7, 0x07, 0x36, 0xB5),
4013 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0xC9, 0xA8, 0x5F, 0x91, 0xBF, 0x47, 0xB2),
4014 MBEDTLS_BYTES_TO_T_UINT_8(0x80, 0x96, 0x58, 0x96, 0x18, 0xB6, 0xFA, 0x01),
kXuanba9cb762021-04-08 14:32:06 +08004015};
4016static const mbedtls_mpi_uint brainpoolP512r1_T_9_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004017 MBEDTLS_BYTES_TO_T_UINT_8(0xD0, 0x2D, 0xA9, 0x9B, 0x86, 0xDB, 0x0C, 0x4C),
4018 MBEDTLS_BYTES_TO_T_UINT_8(0xE4, 0x0B, 0x2D, 0x56, 0x4A, 0xD3, 0x93, 0x8A),
4019 MBEDTLS_BYTES_TO_T_UINT_8(0xB5, 0x15, 0xE2, 0x65, 0x12, 0x86, 0x0E, 0xB2),
4020 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0x41, 0x4D, 0xC1, 0xCB, 0xE4, 0xC3, 0xD7),
4021 MBEDTLS_BYTES_TO_T_UINT_8(0x6A, 0x53, 0x10, 0xCA, 0xA3, 0xAC, 0x83, 0x26),
4022 MBEDTLS_BYTES_TO_T_UINT_8(0x3E, 0x01, 0x22, 0x96, 0x10, 0xAD, 0x69, 0xDB),
4023 MBEDTLS_BYTES_TO_T_UINT_8(0x42, 0x46, 0x4E, 0xD8, 0xEA, 0xD6, 0x9D, 0xF3),
4024 MBEDTLS_BYTES_TO_T_UINT_8(0x43, 0x2F, 0x7F, 0x62, 0x62, 0x80, 0xD0, 0x14),
kXuanba9cb762021-04-08 14:32:06 +08004025};
4026static const mbedtls_mpi_uint brainpoolP512r1_T_10_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004027 MBEDTLS_BYTES_TO_T_UINT_8(0xB2, 0xDA, 0x00, 0x63, 0x09, 0xBD, 0x6A, 0x83),
4028 MBEDTLS_BYTES_TO_T_UINT_8(0x0F, 0xD4, 0x6E, 0x48, 0x05, 0xB7, 0xF7, 0x17),
4029 MBEDTLS_BYTES_TO_T_UINT_8(0x14, 0x4D, 0xD7, 0x00, 0x4A, 0x15, 0x27, 0x7A),
4030 MBEDTLS_BYTES_TO_T_UINT_8(0x3A, 0x15, 0xAA, 0x37, 0x27, 0x34, 0x18, 0x24),
4031 MBEDTLS_BYTES_TO_T_UINT_8(0x3A, 0x20, 0x2C, 0x84, 0x1B, 0x88, 0xBA, 0x05),
4032 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0x09, 0xD6, 0x04, 0xA2, 0x60, 0x84, 0x72),
4033 MBEDTLS_BYTES_TO_T_UINT_8(0xC8, 0x04, 0x94, 0x08, 0xD4, 0xED, 0x47, 0xDB),
4034 MBEDTLS_BYTES_TO_T_UINT_8(0x8B, 0xF3, 0xE4, 0x3E, 0xB9, 0x5B, 0x35, 0x42),
kXuanba9cb762021-04-08 14:32:06 +08004035};
4036static const mbedtls_mpi_uint brainpoolP512r1_T_10_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004037 MBEDTLS_BYTES_TO_T_UINT_8(0x5F, 0xD8, 0xB6, 0x80, 0xD6, 0xF1, 0x30, 0xDD),
4038 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0x14, 0xA6, 0x85, 0xEE, 0xA7, 0xD8, 0x61),
4039 MBEDTLS_BYTES_TO_T_UINT_8(0xE4, 0x49, 0x2A, 0x1E, 0x7C, 0xE9, 0x2D, 0xEC),
4040 MBEDTLS_BYTES_TO_T_UINT_8(0x3A, 0x87, 0x56, 0x91, 0x03, 0x77, 0x4D, 0x55),
4041 MBEDTLS_BYTES_TO_T_UINT_8(0x0E, 0x52, 0xD4, 0xAA, 0xF7, 0xFA, 0xB0, 0xC5),
4042 MBEDTLS_BYTES_TO_T_UINT_8(0x04, 0x5D, 0x11, 0x39, 0xB1, 0xE7, 0x76, 0xAD),
4043 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0x13, 0xBC, 0x37, 0x5D, 0x74, 0xCD, 0xC2),
4044 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0x48, 0x14, 0x23, 0x30, 0xF8, 0x46, 0x37),
kXuanba9cb762021-04-08 14:32:06 +08004045};
4046static const mbedtls_mpi_uint brainpoolP512r1_T_11_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004047 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0x27, 0xB0, 0xD9, 0xB2, 0x74, 0xB4, 0xC0),
4048 MBEDTLS_BYTES_TO_T_UINT_8(0xEA, 0xA6, 0xB9, 0x6F, 0x9F, 0x64, 0x36, 0x92),
4049 MBEDTLS_BYTES_TO_T_UINT_8(0x2E, 0x2B, 0x78, 0x40, 0x05, 0x2B, 0x7B, 0xA9),
4050 MBEDTLS_BYTES_TO_T_UINT_8(0xB3, 0x68, 0x3A, 0xB6, 0x4A, 0xE2, 0xDB, 0xB8),
4051 MBEDTLS_BYTES_TO_T_UINT_8(0x1E, 0x33, 0xD7, 0x34, 0x8B, 0x25, 0x45, 0xEF),
4052 MBEDTLS_BYTES_TO_T_UINT_8(0x89, 0xCE, 0xA8, 0xC9, 0x01, 0xFB, 0x0E, 0x7B),
4053 MBEDTLS_BYTES_TO_T_UINT_8(0xE2, 0xF9, 0x51, 0x4C, 0x12, 0x9F, 0x60, 0xE4),
4054 MBEDTLS_BYTES_TO_T_UINT_8(0x67, 0x85, 0xBD, 0x30, 0x37, 0x84, 0x39, 0x44),
kXuanba9cb762021-04-08 14:32:06 +08004055};
4056static const mbedtls_mpi_uint brainpoolP512r1_T_11_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004057 MBEDTLS_BYTES_TO_T_UINT_8(0x26, 0x33, 0xAF, 0x2E, 0xB8, 0x2E, 0xCC, 0x3C),
4058 MBEDTLS_BYTES_TO_T_UINT_8(0xA4, 0xB1, 0x73, 0x59, 0x4E, 0x0C, 0x09, 0x4A),
4059 MBEDTLS_BYTES_TO_T_UINT_8(0x8A, 0x24, 0x89, 0x81, 0x12, 0xFF, 0xBB, 0x6E),
4060 MBEDTLS_BYTES_TO_T_UINT_8(0x71, 0x37, 0x1A, 0x66, 0xEE, 0xED, 0xB6, 0x9B),
4061 MBEDTLS_BYTES_TO_T_UINT_8(0x16, 0xBD, 0x04, 0x20, 0x5D, 0xFB, 0xBF, 0x95),
4062 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0xF8, 0x34, 0xA3, 0xFF, 0x45, 0xDE, 0x92),
4063 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0x18, 0x73, 0xF1, 0x32, 0x25, 0x58, 0xEB),
4064 MBEDTLS_BYTES_TO_T_UINT_8(0x63, 0xC1, 0x14, 0xE3, 0x9E, 0x40, 0x0F, 0x12),
kXuanba9cb762021-04-08 14:32:06 +08004065};
4066static const mbedtls_mpi_uint brainpoolP512r1_T_12_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004067 MBEDTLS_BYTES_TO_T_UINT_8(0x61, 0x07, 0x9D, 0x9C, 0x00, 0xF7, 0x56, 0x19),
4068 MBEDTLS_BYTES_TO_T_UINT_8(0xFB, 0xBA, 0x87, 0xF9, 0x15, 0x0C, 0x66, 0x5D),
4069 MBEDTLS_BYTES_TO_T_UINT_8(0x7E, 0x1F, 0xC1, 0x28, 0xB0, 0x47, 0x0D, 0xF5),
4070 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0xCA, 0x27, 0xEE, 0x4B, 0x23, 0x2B, 0x89),
4071 MBEDTLS_BYTES_TO_T_UINT_8(0x7E, 0xB5, 0x68, 0xC8, 0x17, 0x5D, 0xC3, 0xAA),
4072 MBEDTLS_BYTES_TO_T_UINT_8(0x17, 0x02, 0x08, 0xEE, 0x20, 0x9D, 0xEA, 0x64),
4073 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0x14, 0x50, 0xD4, 0x7D, 0x5F, 0xCF, 0xA0),
4074 MBEDTLS_BYTES_TO_T_UINT_8(0xD5, 0xFA, 0xF8, 0xA7, 0xC6, 0xDC, 0x14, 0x8C),
kXuanba9cb762021-04-08 14:32:06 +08004075};
4076static const mbedtls_mpi_uint brainpoolP512r1_T_12_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004077 MBEDTLS_BYTES_TO_T_UINT_8(0x76, 0xBD, 0x0A, 0x1A, 0x18, 0x98, 0xDC, 0xB0),
4078 MBEDTLS_BYTES_TO_T_UINT_8(0x63, 0x63, 0x02, 0xB7, 0xD5, 0x5B, 0x5A, 0xC6),
4079 MBEDTLS_BYTES_TO_T_UINT_8(0x51, 0xB1, 0xD7, 0x4B, 0x15, 0x39, 0x61, 0x5D),
4080 MBEDTLS_BYTES_TO_T_UINT_8(0x5C, 0x32, 0xE1, 0x9E, 0x70, 0x1B, 0xCE, 0x51),
4081 MBEDTLS_BYTES_TO_T_UINT_8(0x64, 0xD8, 0x18, 0x83, 0x52, 0x9B, 0x6D, 0xA2),
4082 MBEDTLS_BYTES_TO_T_UINT_8(0xA4, 0x55, 0x56, 0x19, 0x34, 0xA4, 0xEA, 0xFC),
4083 MBEDTLS_BYTES_TO_T_UINT_8(0x30, 0xA9, 0x55, 0x80, 0xE3, 0x15, 0x36, 0x8B),
4084 MBEDTLS_BYTES_TO_T_UINT_8(0xBB, 0x06, 0xC8, 0x1D, 0x17, 0x0D, 0xAD, 0x16),
kXuanba9cb762021-04-08 14:32:06 +08004085};
4086static const mbedtls_mpi_uint brainpoolP512r1_T_13_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004087 MBEDTLS_BYTES_TO_T_UINT_8(0x20, 0xD6, 0xF0, 0xCC, 0xF3, 0x63, 0x53, 0xD2),
4088 MBEDTLS_BYTES_TO_T_UINT_8(0x27, 0x5A, 0xDC, 0x46, 0xBD, 0x0D, 0xAD, 0x96),
4089 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0x2F, 0x11, 0x60, 0x15, 0x51, 0x4A, 0xEA),
4090 MBEDTLS_BYTES_TO_T_UINT_8(0x33, 0xE3, 0x93, 0x38, 0xD5, 0x83, 0xAA, 0x0D),
4091 MBEDTLS_BYTES_TO_T_UINT_8(0x90, 0xA6, 0xCC, 0xB1, 0xFD, 0xBB, 0x1A, 0x0F),
4092 MBEDTLS_BYTES_TO_T_UINT_8(0x3B, 0x54, 0xC8, 0x54, 0x6F, 0x79, 0x1A, 0x59),
4093 MBEDTLS_BYTES_TO_T_UINT_8(0x3F, 0x4A, 0xDA, 0x28, 0x92, 0x97, 0x9D, 0x7F),
4094 MBEDTLS_BYTES_TO_T_UINT_8(0xD6, 0x4B, 0xDB, 0xC7, 0x52, 0xC5, 0x66, 0x34),
kXuanba9cb762021-04-08 14:32:06 +08004095};
4096static const mbedtls_mpi_uint brainpoolP512r1_T_13_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004097 MBEDTLS_BYTES_TO_T_UINT_8(0x05, 0x7E, 0x92, 0x53, 0x30, 0x93, 0xFD, 0xFF),
4098 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0x16, 0x6A, 0xB1, 0x91, 0x0A, 0xB4, 0x52),
4099 MBEDTLS_BYTES_TO_T_UINT_8(0x6D, 0x9D, 0x40, 0x3F, 0xE3, 0xF1, 0x01, 0x46),
4100 MBEDTLS_BYTES_TO_T_UINT_8(0x13, 0x0E, 0xD8, 0xED, 0x11, 0x8E, 0x4C, 0xED),
4101 MBEDTLS_BYTES_TO_T_UINT_8(0x86, 0x4A, 0x1B, 0x88, 0xDF, 0x8D, 0x29, 0xE7),
4102 MBEDTLS_BYTES_TO_T_UINT_8(0x97, 0x23, 0x21, 0x11, 0xAB, 0x77, 0x81, 0x62),
4103 MBEDTLS_BYTES_TO_T_UINT_8(0x0B, 0xAF, 0x11, 0xFA, 0xBA, 0x40, 0x63, 0xE7),
4104 MBEDTLS_BYTES_TO_T_UINT_8(0x2B, 0x6F, 0x8D, 0x80, 0xDF, 0x67, 0xF5, 0x44),
kXuanba9cb762021-04-08 14:32:06 +08004105};
4106static const mbedtls_mpi_uint brainpoolP512r1_T_14_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004107 MBEDTLS_BYTES_TO_T_UINT_8(0xB2, 0x8B, 0xB7, 0x08, 0xF4, 0xD7, 0x2D, 0xA8),
4108 MBEDTLS_BYTES_TO_T_UINT_8(0xC7, 0x2B, 0x30, 0x02, 0x45, 0x71, 0x08, 0x49),
4109 MBEDTLS_BYTES_TO_T_UINT_8(0x97, 0x3A, 0xCA, 0x50, 0xF6, 0xC2, 0x19, 0x8C),
4110 MBEDTLS_BYTES_TO_T_UINT_8(0x17, 0xB9, 0x9B, 0x3E, 0x73, 0x95, 0x1D, 0x49),
4111 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x60, 0x59, 0x48, 0xCB, 0xD8, 0xD6, 0xAA),
4112 MBEDTLS_BYTES_TO_T_UINT_8(0xF0, 0xB9, 0x6C, 0x89, 0xAB, 0x99, 0xA8, 0xF8),
4113 MBEDTLS_BYTES_TO_T_UINT_8(0xEF, 0xA1, 0x8B, 0x4E, 0x06, 0x19, 0xEC, 0x99),
4114 MBEDTLS_BYTES_TO_T_UINT_8(0x70, 0x95, 0x04, 0xCF, 0xD5, 0x94, 0xB3, 0x02),
kXuanba9cb762021-04-08 14:32:06 +08004115};
4116static const mbedtls_mpi_uint brainpoolP512r1_T_14_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004117 MBEDTLS_BYTES_TO_T_UINT_8(0x29, 0x35, 0x93, 0x7C, 0xB3, 0xB8, 0x9E, 0x1B),
4118 MBEDTLS_BYTES_TO_T_UINT_8(0xC4, 0x45, 0x5C, 0x7E, 0xBF, 0x75, 0x81, 0x0F),
4119 MBEDTLS_BYTES_TO_T_UINT_8(0xDC, 0xE8, 0x24, 0xDF, 0xEC, 0x2F, 0x7D, 0xB9),
4120 MBEDTLS_BYTES_TO_T_UINT_8(0xF2, 0x8B, 0xD5, 0x6A, 0x9B, 0xA0, 0xE0, 0x4F),
4121 MBEDTLS_BYTES_TO_T_UINT_8(0x32, 0xE3, 0x27, 0x82, 0xDE, 0xDD, 0xCA, 0x4B),
4122 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0x57, 0x56, 0x46, 0x05, 0x06, 0x01, 0x2E),
4123 MBEDTLS_BYTES_TO_T_UINT_8(0x74, 0x35, 0xA7, 0x47, 0xE2, 0x6B, 0x2C, 0x4F),
4124 MBEDTLS_BYTES_TO_T_UINT_8(0x38, 0x9D, 0x4C, 0xEC, 0x1F, 0x11, 0x75, 0x2B),
kXuanba9cb762021-04-08 14:32:06 +08004125};
4126static const mbedtls_mpi_uint brainpoolP512r1_T_15_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004127 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0xAA, 0x41, 0xC1, 0xE9, 0x0E, 0xE9, 0xAA),
4128 MBEDTLS_BYTES_TO_T_UINT_8(0x0A, 0xCF, 0x9C, 0x4B, 0xE8, 0xED, 0x0A, 0x49),
4129 MBEDTLS_BYTES_TO_T_UINT_8(0x3D, 0x73, 0xCA, 0x0C, 0x46, 0x0A, 0x9C, 0xE4),
4130 MBEDTLS_BYTES_TO_T_UINT_8(0x99, 0xE1, 0x9E, 0xBC, 0xFE, 0x44, 0x63, 0x6D),
4131 MBEDTLS_BYTES_TO_T_UINT_8(0x31, 0x43, 0x71, 0xEE, 0xF8, 0xC1, 0x8C, 0x5C),
4132 MBEDTLS_BYTES_TO_T_UINT_8(0x6A, 0x4B, 0xF0, 0x69, 0x25, 0xBD, 0x71, 0x1A),
4133 MBEDTLS_BYTES_TO_T_UINT_8(0xFD, 0x9A, 0xFE, 0x82, 0xE7, 0xC1, 0xC1, 0xEE),
4134 MBEDTLS_BYTES_TO_T_UINT_8(0xFC, 0x5A, 0x6E, 0x5E, 0x97, 0x6A, 0x35, 0x8D),
kXuanba9cb762021-04-08 14:32:06 +08004135};
4136static const mbedtls_mpi_uint brainpoolP512r1_T_15_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004137 MBEDTLS_BYTES_TO_T_UINT_8(0xA2, 0x18, 0x6C, 0x7E, 0xB8, 0x9E, 0x57, 0x32),
4138 MBEDTLS_BYTES_TO_T_UINT_8(0x35, 0xB9, 0xC1, 0xD0, 0xFE, 0x78, 0xFB, 0x32),
4139 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0x08, 0xAE, 0x46, 0x34, 0xEA, 0x7A, 0x7F),
4140 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0x1C, 0x56, 0xA9, 0x18, 0x37, 0xD4, 0x9E),
4141 MBEDTLS_BYTES_TO_T_UINT_8(0x28, 0x63, 0xE9, 0x0A, 0xB6, 0x38, 0x3C, 0xC1),
4142 MBEDTLS_BYTES_TO_T_UINT_8(0x3E, 0x4F, 0xA4, 0x6E, 0x85, 0x31, 0x23, 0x52),
4143 MBEDTLS_BYTES_TO_T_UINT_8(0x0D, 0xAD, 0xC4, 0xC3, 0xB1, 0x4B, 0x1C, 0x82),
4144 MBEDTLS_BYTES_TO_T_UINT_8(0x30, 0x56, 0x4A, 0x38, 0xB3, 0x6B, 0x6F, 0x2C),
kXuanba9cb762021-04-08 14:32:06 +08004145};
4146static const mbedtls_mpi_uint brainpoolP512r1_T_16_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004147 MBEDTLS_BYTES_TO_T_UINT_8(0x67, 0xC7, 0x19, 0xDE, 0x21, 0xED, 0x89, 0xD0),
4148 MBEDTLS_BYTES_TO_T_UINT_8(0x2F, 0xBE, 0xA6, 0xAE, 0xEB, 0x9D, 0xA7, 0x2A),
4149 MBEDTLS_BYTES_TO_T_UINT_8(0x04, 0x0E, 0x13, 0x1E, 0x86, 0x57, 0xC3, 0x3B),
4150 MBEDTLS_BYTES_TO_T_UINT_8(0x1F, 0x4B, 0x30, 0x46, 0x52, 0xC1, 0xEC, 0x52),
4151 MBEDTLS_BYTES_TO_T_UINT_8(0x6E, 0xD5, 0x44, 0x31, 0x96, 0x3B, 0x26, 0x27),
4152 MBEDTLS_BYTES_TO_T_UINT_8(0x77, 0x68, 0xA8, 0x67, 0x78, 0x39, 0xE8, 0x68),
4153 MBEDTLS_BYTES_TO_T_UINT_8(0x8E, 0x78, 0xB7, 0xDD, 0xF2, 0x58, 0xB6, 0x3D),
4154 MBEDTLS_BYTES_TO_T_UINT_8(0x81, 0x3C, 0xB3, 0x26, 0xC4, 0x2C, 0x8C, 0xA5),
kXuanba9cb762021-04-08 14:32:06 +08004155};
4156static const mbedtls_mpi_uint brainpoolP512r1_T_16_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004157 MBEDTLS_BYTES_TO_T_UINT_8(0xB9, 0x24, 0xE5, 0x73, 0xEE, 0x9A, 0x02, 0xA9),
4158 MBEDTLS_BYTES_TO_T_UINT_8(0xD9, 0x6A, 0x65, 0x60, 0xF3, 0x62, 0xE3, 0xE9),
4159 MBEDTLS_BYTES_TO_T_UINT_8(0xFB, 0x07, 0x84, 0xE6, 0x3B, 0x46, 0x65, 0x9F),
4160 MBEDTLS_BYTES_TO_T_UINT_8(0xE1, 0x8F, 0x0C, 0xB0, 0xE1, 0x04, 0x82, 0x9D),
4161 MBEDTLS_BYTES_TO_T_UINT_8(0xEB, 0x13, 0xBF, 0x3D, 0xA0, 0x48, 0xA2, 0x74),
4162 MBEDTLS_BYTES_TO_T_UINT_8(0x08, 0x26, 0x76, 0x74, 0xAB, 0x0B, 0x29, 0xE8),
4163 MBEDTLS_BYTES_TO_T_UINT_8(0x30, 0x6E, 0x5F, 0x03, 0x34, 0x7C, 0x38, 0xCE),
4164 MBEDTLS_BYTES_TO_T_UINT_8(0x4D, 0x72, 0xF9, 0x3B, 0x3C, 0xA4, 0xBC, 0x7C),
kXuanba9cb762021-04-08 14:32:06 +08004165};
4166static const mbedtls_mpi_uint brainpoolP512r1_T_17_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004167 MBEDTLS_BYTES_TO_T_UINT_8(0x5C, 0xCE, 0x18, 0x80, 0xB8, 0x24, 0x45, 0x81),
4168 MBEDTLS_BYTES_TO_T_UINT_8(0xF1, 0x09, 0x03, 0xB8, 0x06, 0x64, 0xF7, 0xEC),
4169 MBEDTLS_BYTES_TO_T_UINT_8(0xF1, 0x26, 0xB1, 0x10, 0x6D, 0x71, 0x12, 0x2E),
4170 MBEDTLS_BYTES_TO_T_UINT_8(0xAD, 0x12, 0xC6, 0x6E, 0x1E, 0x6A, 0xC3, 0x80),
4171 MBEDTLS_BYTES_TO_T_UINT_8(0xE5, 0xD3, 0x0A, 0xDE, 0xD8, 0x6B, 0x04, 0x5C),
4172 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0x87, 0x5B, 0xAE, 0xDB, 0x3C, 0xC0, 0xC5),
4173 MBEDTLS_BYTES_TO_T_UINT_8(0x8E, 0xF5, 0xF9, 0xC1, 0x9A, 0x89, 0xBB, 0x7E),
4174 MBEDTLS_BYTES_TO_T_UINT_8(0xED, 0x69, 0x72, 0x8B, 0xAE, 0x32, 0x13, 0x11),
kXuanba9cb762021-04-08 14:32:06 +08004175};
4176static const mbedtls_mpi_uint brainpoolP512r1_T_17_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004177 MBEDTLS_BYTES_TO_T_UINT_8(0xF9, 0x16, 0x07, 0x50, 0xFA, 0x4C, 0xCF, 0xE8),
4178 MBEDTLS_BYTES_TO_T_UINT_8(0xF8, 0x50, 0x21, 0xE9, 0xDE, 0xEC, 0x7E, 0xDF),
4179 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0x2F, 0xE8, 0x83, 0x30, 0x0B, 0x65, 0x0E),
4180 MBEDTLS_BYTES_TO_T_UINT_8(0xA5, 0x0B, 0x99, 0xAC, 0xC9, 0xBA, 0x6C, 0x2A),
4181 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0x59, 0x5A, 0x0D, 0x7B, 0x9E, 0x08, 0xAD),
4182 MBEDTLS_BYTES_TO_T_UINT_8(0x34, 0x91, 0xB2, 0xDC, 0x90, 0xCE, 0x67, 0xED),
4183 MBEDTLS_BYTES_TO_T_UINT_8(0xE3, 0x93, 0x60, 0x0C, 0xD7, 0x1F, 0x2F, 0x17),
4184 MBEDTLS_BYTES_TO_T_UINT_8(0x19, 0x7F, 0x9D, 0x40, 0xF8, 0x78, 0x7A, 0x54),
kXuanba9cb762021-04-08 14:32:06 +08004185};
4186static const mbedtls_mpi_uint brainpoolP512r1_T_18_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004187 MBEDTLS_BYTES_TO_T_UINT_8(0x13, 0x22, 0x95, 0xE8, 0xEF, 0x31, 0x57, 0x35),
4188 MBEDTLS_BYTES_TO_T_UINT_8(0x2D, 0x88, 0x53, 0xFE, 0xAF, 0x7C, 0x47, 0x14),
4189 MBEDTLS_BYTES_TO_T_UINT_8(0x0E, 0xCE, 0xCC, 0x79, 0xE8, 0x9F, 0x8C, 0xC4),
4190 MBEDTLS_BYTES_TO_T_UINT_8(0xDB, 0x16, 0xDD, 0x77, 0x6E, 0x8A, 0x73, 0x97),
4191 MBEDTLS_BYTES_TO_T_UINT_8(0xC0, 0x07, 0x97, 0x21, 0x3B, 0xF8, 0x5F, 0xA8),
4192 MBEDTLS_BYTES_TO_T_UINT_8(0xC6, 0xB5, 0xD2, 0x81, 0x84, 0xF0, 0xE7, 0x9F),
4193 MBEDTLS_BYTES_TO_T_UINT_8(0xCB, 0x8F, 0x75, 0x09, 0x6A, 0x0E, 0x53, 0xAD),
4194 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0x4F, 0x70, 0x97, 0xC7, 0xAC, 0x7D, 0x3F),
kXuanba9cb762021-04-08 14:32:06 +08004195};
4196static const mbedtls_mpi_uint brainpoolP512r1_T_18_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004197 MBEDTLS_BYTES_TO_T_UINT_8(0xF9, 0x3C, 0x6A, 0xB4, 0x10, 0xA9, 0xC8, 0x1D),
4198 MBEDTLS_BYTES_TO_T_UINT_8(0xEE, 0xC5, 0xD6, 0x69, 0x16, 0xB8, 0xAC, 0x25),
4199 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0x44, 0xDC, 0xEB, 0x48, 0x54, 0x5D, 0x5F),
4200 MBEDTLS_BYTES_TO_T_UINT_8(0x6F, 0x48, 0x9B, 0xD7, 0x72, 0x69, 0xA4, 0x8A),
4201 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0x0D, 0x36, 0x9A, 0x66, 0x0B, 0xEC, 0x24),
4202 MBEDTLS_BYTES_TO_T_UINT_8(0xBE, 0xC6, 0xD4, 0xB6, 0x60, 0xE5, 0xC3, 0x3A),
4203 MBEDTLS_BYTES_TO_T_UINT_8(0xBA, 0x29, 0x42, 0xE0, 0x9D, 0xFD, 0x7C, 0x3E),
4204 MBEDTLS_BYTES_TO_T_UINT_8(0x43, 0x10, 0xBA, 0x55, 0xBC, 0x3B, 0x38, 0x5D),
kXuanba9cb762021-04-08 14:32:06 +08004205};
4206static const mbedtls_mpi_uint brainpoolP512r1_T_19_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004207 MBEDTLS_BYTES_TO_T_UINT_8(0x25, 0x66, 0xFA, 0x05, 0x73, 0x03, 0x1B, 0x69),
4208 MBEDTLS_BYTES_TO_T_UINT_8(0x11, 0xA4, 0x66, 0x12, 0x96, 0x7B, 0x02, 0x4C),
4209 MBEDTLS_BYTES_TO_T_UINT_8(0x44, 0xB5, 0xDE, 0x6D, 0x98, 0xD1, 0xD5, 0xA8),
4210 MBEDTLS_BYTES_TO_T_UINT_8(0xE2, 0xF5, 0x44, 0xB8, 0x8E, 0xF6, 0x8C, 0x05),
4211 MBEDTLS_BYTES_TO_T_UINT_8(0x68, 0x15, 0x2B, 0x72, 0xBC, 0x49, 0xE5, 0xDF),
4212 MBEDTLS_BYTES_TO_T_UINT_8(0x6C, 0x44, 0xD7, 0xDF, 0x8F, 0xEB, 0x8D, 0x80),
4213 MBEDTLS_BYTES_TO_T_UINT_8(0x05, 0x64, 0x88, 0xAA, 0xB7, 0xE4, 0x70, 0x1D),
4214 MBEDTLS_BYTES_TO_T_UINT_8(0x9C, 0x14, 0xBB, 0xE9, 0x9B, 0xB9, 0x65, 0x5D),
kXuanba9cb762021-04-08 14:32:06 +08004215};
4216static const mbedtls_mpi_uint brainpoolP512r1_T_19_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004217 MBEDTLS_BYTES_TO_T_UINT_8(0x66, 0x8E, 0x88, 0xF5, 0xF1, 0xC1, 0x89, 0xA2),
4218 MBEDTLS_BYTES_TO_T_UINT_8(0x16, 0x30, 0x53, 0xE6, 0xFB, 0x2D, 0x82, 0xB4),
4219 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0xE4, 0xFF, 0xBA, 0x31, 0x79, 0xAB, 0xC2),
4220 MBEDTLS_BYTES_TO_T_UINT_8(0x45, 0x09, 0xF7, 0xB7, 0x09, 0x78, 0x4C, 0x90),
4221 MBEDTLS_BYTES_TO_T_UINT_8(0x10, 0xAE, 0xC2, 0x44, 0xDC, 0x17, 0x78, 0x47),
4222 MBEDTLS_BYTES_TO_T_UINT_8(0xC7, 0xD4, 0x17, 0x43, 0x19, 0x74, 0x9E, 0x23),
4223 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0x64, 0x3B, 0x73, 0xA2, 0x99, 0x27, 0x76),
4224 MBEDTLS_BYTES_TO_T_UINT_8(0x05, 0x74, 0x36, 0x5F, 0xD3, 0x14, 0xB1, 0x31),
kXuanba9cb762021-04-08 14:32:06 +08004225};
4226static const mbedtls_mpi_uint brainpoolP512r1_T_20_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004227 MBEDTLS_BYTES_TO_T_UINT_8(0xAC, 0x07, 0xAB, 0xFD, 0x9B, 0x03, 0xC5, 0xD5),
4228 MBEDTLS_BYTES_TO_T_UINT_8(0xC7, 0xBE, 0xB0, 0x1D, 0xF2, 0x0C, 0x73, 0x73),
4229 MBEDTLS_BYTES_TO_T_UINT_8(0x99, 0xE7, 0x7B, 0x87, 0xD3, 0x34, 0xFD, 0xE2),
4230 MBEDTLS_BYTES_TO_T_UINT_8(0x9A, 0x25, 0x3D, 0xC7, 0x36, 0x83, 0x53, 0xDC),
4231 MBEDTLS_BYTES_TO_T_UINT_8(0x22, 0x7C, 0xCF, 0x63, 0x55, 0x12, 0x11, 0xB0),
4232 MBEDTLS_BYTES_TO_T_UINT_8(0xC0, 0x34, 0x4D, 0x27, 0x92, 0xAC, 0x18, 0x16),
4233 MBEDTLS_BYTES_TO_T_UINT_8(0x98, 0x42, 0x61, 0x9D, 0x2E, 0xFF, 0x13, 0x16),
4234 MBEDTLS_BYTES_TO_T_UINT_8(0xF4, 0xDE, 0x92, 0x65, 0x57, 0x0D, 0xBC, 0x0A),
kXuanba9cb762021-04-08 14:32:06 +08004235};
4236static const mbedtls_mpi_uint brainpoolP512r1_T_20_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004237 MBEDTLS_BYTES_TO_T_UINT_8(0xEF, 0x7B, 0x6E, 0xC6, 0x2A, 0x21, 0x74, 0x0A),
4238 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0xA7, 0x53, 0x4D, 0x29, 0x36, 0xEF, 0xE5),
4239 MBEDTLS_BYTES_TO_T_UINT_8(0xE1, 0xD6, 0x41, 0xC7, 0x99, 0xAD, 0x50, 0x53),
4240 MBEDTLS_BYTES_TO_T_UINT_8(0x99, 0xAC, 0x41, 0x9F, 0xFB, 0x4C, 0x86, 0xF1),
4241 MBEDTLS_BYTES_TO_T_UINT_8(0x8B, 0xBB, 0xE6, 0x25, 0x28, 0xAA, 0xEB, 0x1E),
4242 MBEDTLS_BYTES_TO_T_UINT_8(0x92, 0x04, 0xA2, 0xC3, 0xAA, 0x08, 0x8A, 0xCC),
4243 MBEDTLS_BYTES_TO_T_UINT_8(0x5A, 0x2B, 0x5B, 0xE2, 0x8D, 0x76, 0xEA, 0x34),
4244 MBEDTLS_BYTES_TO_T_UINT_8(0xB3, 0x33, 0xD2, 0x21, 0x4D, 0x62, 0xE3, 0x8E),
kXuanba9cb762021-04-08 14:32:06 +08004245};
4246static const mbedtls_mpi_uint brainpoolP512r1_T_21_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004247 MBEDTLS_BYTES_TO_T_UINT_8(0xF6, 0x06, 0x8B, 0x2B, 0xC2, 0xC4, 0xB1, 0xD2),
4248 MBEDTLS_BYTES_TO_T_UINT_8(0xFA, 0xF5, 0xA1, 0xC0, 0x03, 0x6A, 0x29, 0x12),
4249 MBEDTLS_BYTES_TO_T_UINT_8(0xF5, 0xA9, 0xEF, 0x55, 0xB6, 0x1A, 0x9F, 0x6B),
4250 MBEDTLS_BYTES_TO_T_UINT_8(0x9B, 0x54, 0x32, 0xBE, 0x06, 0x43, 0xB5, 0xFD),
4251 MBEDTLS_BYTES_TO_T_UINT_8(0xF7, 0xD6, 0xD9, 0x20, 0x89, 0xBE, 0xD4, 0x1B),
4252 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0x26, 0x95, 0x10, 0xCE, 0xB4, 0x88, 0x79),
4253 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0xA6, 0x27, 0xAC, 0x32, 0xBA, 0xBD, 0xC7),
4254 MBEDTLS_BYTES_TO_T_UINT_8(0xA3, 0xA6, 0xAE, 0x9C, 0x7B, 0xBE, 0xA1, 0x63),
kXuanba9cb762021-04-08 14:32:06 +08004255};
4256static const mbedtls_mpi_uint brainpoolP512r1_T_21_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004257 MBEDTLS_BYTES_TO_T_UINT_8(0x8B, 0xCD, 0x4D, 0x3D, 0xDF, 0x96, 0xBB, 0x7D),
4258 MBEDTLS_BYTES_TO_T_UINT_8(0x77, 0xA7, 0x11, 0x06, 0xCC, 0x0E, 0x31, 0x81),
4259 MBEDTLS_BYTES_TO_T_UINT_8(0x20, 0xE4, 0xF4, 0xAD, 0x7B, 0x5F, 0xF1, 0xEF),
4260 MBEDTLS_BYTES_TO_T_UINT_8(0xE4, 0x54, 0xBE, 0xF4, 0x8A, 0x03, 0x47, 0xDF),
4261 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0x53, 0x00, 0x7F, 0xB0, 0x8A, 0x68, 0xA6),
4262 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0x16, 0xB1, 0x73, 0x6F, 0x5B, 0x0E, 0xC3),
4263 MBEDTLS_BYTES_TO_T_UINT_8(0x2A, 0x32, 0xE3, 0x43, 0x64, 0x75, 0xFB, 0xFB),
4264 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0x18, 0x55, 0x8A, 0x4E, 0x6E, 0x35, 0x54),
kXuanba9cb762021-04-08 14:32:06 +08004265};
4266static const mbedtls_mpi_uint brainpoolP512r1_T_22_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004267 MBEDTLS_BYTES_TO_T_UINT_8(0x80, 0x97, 0x15, 0x1E, 0xCB, 0xF2, 0x9C, 0xA5),
4268 MBEDTLS_BYTES_TO_T_UINT_8(0x2B, 0xD1, 0xBB, 0xF3, 0x70, 0xAD, 0x13, 0xAD),
4269 MBEDTLS_BYTES_TO_T_UINT_8(0xD8, 0x96, 0xA4, 0xC5, 0x5E, 0xDA, 0xD5, 0x57),
4270 MBEDTLS_BYTES_TO_T_UINT_8(0x07, 0x81, 0xE9, 0x65, 0x66, 0x76, 0x47, 0x45),
4271 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0x35, 0x87, 0x06, 0x73, 0xCF, 0x34, 0xD2),
4272 MBEDTLS_BYTES_TO_T_UINT_8(0x5A, 0x81, 0x15, 0x42, 0xA2, 0x79, 0x5B, 0x42),
4273 MBEDTLS_BYTES_TO_T_UINT_8(0x08, 0xA2, 0x7D, 0x09, 0x14, 0x64, 0xC6, 0xAE),
4274 MBEDTLS_BYTES_TO_T_UINT_8(0x5E, 0x6D, 0xC4, 0xED, 0xF1, 0xD6, 0xE9, 0x24),
kXuanba9cb762021-04-08 14:32:06 +08004275};
4276static const mbedtls_mpi_uint brainpoolP512r1_T_22_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004277 MBEDTLS_BYTES_TO_T_UINT_8(0xB4, 0xD5, 0xBB, 0x25, 0xA3, 0xDD, 0xA3, 0x88),
4278 MBEDTLS_BYTES_TO_T_UINT_8(0x46, 0xF2, 0x68, 0x67, 0x39, 0x8F, 0x73, 0x93),
4279 MBEDTLS_BYTES_TO_T_UINT_8(0xF0, 0x76, 0x28, 0x89, 0xAD, 0x32, 0xE0, 0xDF),
4280 MBEDTLS_BYTES_TO_T_UINT_8(0xF8, 0x90, 0xCC, 0x57, 0x58, 0xAA, 0xC9, 0x75),
4281 MBEDTLS_BYTES_TO_T_UINT_8(0x5E, 0xD7, 0x43, 0xD2, 0xCE, 0x5E, 0xA0, 0x08),
4282 MBEDTLS_BYTES_TO_T_UINT_8(0x33, 0xB0, 0xB8, 0xA4, 0x9E, 0x96, 0x26, 0x86),
4283 MBEDTLS_BYTES_TO_T_UINT_8(0x94, 0x61, 0x1D, 0xF3, 0x65, 0x5E, 0x60, 0xCA),
4284 MBEDTLS_BYTES_TO_T_UINT_8(0xC7, 0x1E, 0x65, 0xED, 0xCF, 0x07, 0x60, 0x20),
kXuanba9cb762021-04-08 14:32:06 +08004285};
4286static const mbedtls_mpi_uint brainpoolP512r1_T_23_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004287 MBEDTLS_BYTES_TO_T_UINT_8(0xA4, 0x30, 0x17, 0x8A, 0x91, 0x88, 0x0A, 0xA4),
4288 MBEDTLS_BYTES_TO_T_UINT_8(0x05, 0x7D, 0x18, 0xA4, 0xAC, 0x59, 0xFC, 0x5F),
4289 MBEDTLS_BYTES_TO_T_UINT_8(0xA4, 0x31, 0x8B, 0x25, 0x65, 0x39, 0x9A, 0xDC),
4290 MBEDTLS_BYTES_TO_T_UINT_8(0x15, 0x16, 0x4B, 0x68, 0xBA, 0x59, 0x13, 0x2F),
4291 MBEDTLS_BYTES_TO_T_UINT_8(0x8D, 0xFD, 0xD3, 0xC5, 0x56, 0xC9, 0x8C, 0x5E),
4292 MBEDTLS_BYTES_TO_T_UINT_8(0xBC, 0xC6, 0x9F, 0xF4, 0xE6, 0xF7, 0xB4, 0x01),
4293 MBEDTLS_BYTES_TO_T_UINT_8(0x2D, 0x7C, 0x03, 0x00, 0x26, 0x9F, 0xD8, 0x7B),
4294 MBEDTLS_BYTES_TO_T_UINT_8(0x24, 0x1D, 0x6E, 0x00, 0xB9, 0x00, 0x6E, 0x93),
kXuanba9cb762021-04-08 14:32:06 +08004295};
4296static const mbedtls_mpi_uint brainpoolP512r1_T_23_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004297 MBEDTLS_BYTES_TO_T_UINT_8(0x75, 0x63, 0xDA, 0x03, 0x2B, 0xD5, 0x0B, 0xFE),
4298 MBEDTLS_BYTES_TO_T_UINT_8(0x46, 0xFC, 0xE2, 0xC8, 0x47, 0xF0, 0xAE, 0xF2),
4299 MBEDTLS_BYTES_TO_T_UINT_8(0x51, 0x4C, 0xF7, 0x50, 0x0C, 0x48, 0x06, 0x2A),
4300 MBEDTLS_BYTES_TO_T_UINT_8(0xDF, 0x2B, 0x32, 0x98, 0x0E, 0x7E, 0x61, 0x41),
4301 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0x02, 0x27, 0xFE, 0x75, 0x86, 0xDF, 0x24),
4302 MBEDTLS_BYTES_TO_T_UINT_8(0x2B, 0x30, 0xB1, 0x22, 0x32, 0x1B, 0xFE, 0x24),
4303 MBEDTLS_BYTES_TO_T_UINT_8(0xC2, 0x27, 0xF7, 0x78, 0x6F, 0xD7, 0xFD, 0xE4),
4304 MBEDTLS_BYTES_TO_T_UINT_8(0xA0, 0x78, 0xCC, 0xEA, 0xC0, 0x50, 0x24, 0x44),
kXuanba9cb762021-04-08 14:32:06 +08004305};
4306static const mbedtls_mpi_uint brainpoolP512r1_T_24_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004307 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0x2B, 0x4F, 0x7F, 0x58, 0xE6, 0xC2, 0x70),
4308 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0x43, 0xD5, 0xA7, 0x35, 0x3C, 0x80, 0xB8),
4309 MBEDTLS_BYTES_TO_T_UINT_8(0x1A, 0x6D, 0x4B, 0x12, 0x00, 0x7B, 0xE6, 0xA6),
4310 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0x15, 0xBD, 0xD0, 0x9B, 0xCA, 0xAA, 0x81),
4311 MBEDTLS_BYTES_TO_T_UINT_8(0xCF, 0xCE, 0x9C, 0xE3, 0x8B, 0x60, 0x7A, 0x53),
4312 MBEDTLS_BYTES_TO_T_UINT_8(0x0C, 0xDA, 0x4B, 0x03, 0xA7, 0x8D, 0x43, 0x22),
4313 MBEDTLS_BYTES_TO_T_UINT_8(0x57, 0xAF, 0x00, 0x2B, 0x32, 0xF0, 0x22, 0x68),
4314 MBEDTLS_BYTES_TO_T_UINT_8(0xDC, 0xD9, 0x99, 0x99, 0xBE, 0x43, 0x99, 0x3E),
kXuanba9cb762021-04-08 14:32:06 +08004315};
4316static const mbedtls_mpi_uint brainpoolP512r1_T_24_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004317 MBEDTLS_BYTES_TO_T_UINT_8(0x1F, 0x71, 0x41, 0xF4, 0xB5, 0xFD, 0xDD, 0x36),
4318 MBEDTLS_BYTES_TO_T_UINT_8(0x9D, 0xE2, 0x20, 0x4C, 0xD1, 0x2E, 0x1F, 0x06),
4319 MBEDTLS_BYTES_TO_T_UINT_8(0x96, 0x43, 0x48, 0x76, 0x8A, 0x49, 0xAC, 0x87),
4320 MBEDTLS_BYTES_TO_T_UINT_8(0x0C, 0x1A, 0x55, 0xA8, 0xA3, 0xD4, 0x57, 0x75),
4321 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0xA6, 0x84, 0x39, 0xC9, 0x13, 0xBB, 0x60),
4322 MBEDTLS_BYTES_TO_T_UINT_8(0xD9, 0xFA, 0xA9, 0x70, 0xDE, 0x83, 0xDD, 0xC9),
4323 MBEDTLS_BYTES_TO_T_UINT_8(0xEC, 0xC9, 0xD9, 0x3E, 0x44, 0x91, 0x68, 0x7B),
4324 MBEDTLS_BYTES_TO_T_UINT_8(0xB6, 0x9F, 0x85, 0x6D, 0xF7, 0x54, 0x36, 0x82),
kXuanba9cb762021-04-08 14:32:06 +08004325};
4326static const mbedtls_mpi_uint brainpoolP512r1_T_25_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004327 MBEDTLS_BYTES_TO_T_UINT_8(0x68, 0x6B, 0xA6, 0xA3, 0xE5, 0xD4, 0x46, 0xDB),
4328 MBEDTLS_BYTES_TO_T_UINT_8(0x23, 0x3E, 0xDC, 0x84, 0x7C, 0x7B, 0x24, 0x34),
4329 MBEDTLS_BYTES_TO_T_UINT_8(0x14, 0xED, 0x7F, 0x86, 0x07, 0x6C, 0x57, 0xCA),
4330 MBEDTLS_BYTES_TO_T_UINT_8(0x95, 0x06, 0xFE, 0x52, 0x12, 0x79, 0x69, 0x56),
4331 MBEDTLS_BYTES_TO_T_UINT_8(0x84, 0xD1, 0x44, 0x5F, 0x21, 0x3A, 0xC3, 0x84),
4332 MBEDTLS_BYTES_TO_T_UINT_8(0x5E, 0xD9, 0x4A, 0xC0, 0x75, 0xAB, 0x17, 0xAC),
4333 MBEDTLS_BYTES_TO_T_UINT_8(0xFF, 0x81, 0x94, 0xB6, 0x80, 0x6B, 0x6F, 0xC3),
4334 MBEDTLS_BYTES_TO_T_UINT_8(0x07, 0xBE, 0x8E, 0xA5, 0xAA, 0xBC, 0x1E, 0x3E),
kXuanba9cb762021-04-08 14:32:06 +08004335};
4336static const mbedtls_mpi_uint brainpoolP512r1_T_25_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004337 MBEDTLS_BYTES_TO_T_UINT_8(0x89, 0xC7, 0x85, 0xA6, 0x59, 0x9B, 0xB1, 0x52),
4338 MBEDTLS_BYTES_TO_T_UINT_8(0x1C, 0xCE, 0x40, 0xD1, 0xFB, 0xDF, 0x94, 0xF7),
4339 MBEDTLS_BYTES_TO_T_UINT_8(0x18, 0xB8, 0x5E, 0xBF, 0x45, 0xA8, 0x2D, 0x2D),
4340 MBEDTLS_BYTES_TO_T_UINT_8(0x98, 0x9C, 0x06, 0x1B, 0xA9, 0x57, 0xB9, 0x79),
4341 MBEDTLS_BYTES_TO_T_UINT_8(0x53, 0xE9, 0xCE, 0xA2, 0xD3, 0x74, 0xA1, 0x3C),
4342 MBEDTLS_BYTES_TO_T_UINT_8(0xAA, 0x5F, 0x34, 0x78, 0xDB, 0xAE, 0x3A, 0x14),
4343 MBEDTLS_BYTES_TO_T_UINT_8(0x7D, 0x32, 0x84, 0x3E, 0x68, 0x6A, 0x43, 0x0F),
4344 MBEDTLS_BYTES_TO_T_UINT_8(0x8C, 0xBC, 0x39, 0x36, 0xA4, 0xC5, 0xBB, 0x11),
kXuanba9cb762021-04-08 14:32:06 +08004345};
4346static const mbedtls_mpi_uint brainpoolP512r1_T_26_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004347 MBEDTLS_BYTES_TO_T_UINT_8(0x8C, 0x07, 0xA2, 0xB5, 0xC9, 0x0F, 0x4D, 0x0F),
4348 MBEDTLS_BYTES_TO_T_UINT_8(0xE3, 0x1D, 0x67, 0xE6, 0xF1, 0x46, 0xEB, 0x71),
4349 MBEDTLS_BYTES_TO_T_UINT_8(0xD7, 0x41, 0x23, 0x95, 0xE7, 0xE0, 0x10, 0xDD),
4350 MBEDTLS_BYTES_TO_T_UINT_8(0xBE, 0x69, 0xFE, 0x68, 0x8C, 0xC6, 0x5F, 0xB6),
4351 MBEDTLS_BYTES_TO_T_UINT_8(0xE3, 0xB9, 0x2B, 0x3D, 0xD2, 0x4F, 0xD8, 0x1A),
4352 MBEDTLS_BYTES_TO_T_UINT_8(0xA3, 0x09, 0xF5, 0x5F, 0xCF, 0xF6, 0x91, 0x57),
4353 MBEDTLS_BYTES_TO_T_UINT_8(0x65, 0x15, 0x42, 0x6B, 0x6D, 0xB5, 0xF3, 0xB6),
4354 MBEDTLS_BYTES_TO_T_UINT_8(0xBF, 0x56, 0x9D, 0xC5, 0xFF, 0xCA, 0x13, 0x9B),
kXuanba9cb762021-04-08 14:32:06 +08004355};
4356static const mbedtls_mpi_uint brainpoolP512r1_T_26_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004357 MBEDTLS_BYTES_TO_T_UINT_8(0x4D, 0x38, 0xE6, 0x23, 0x63, 0x48, 0x3C, 0xCA),
4358 MBEDTLS_BYTES_TO_T_UINT_8(0xD2, 0x68, 0x3C, 0xD1, 0x3B, 0xE9, 0x3B, 0x82),
4359 MBEDTLS_BYTES_TO_T_UINT_8(0xB5, 0x08, 0x54, 0x49, 0xD1, 0x46, 0x45, 0x13),
4360 MBEDTLS_BYTES_TO_T_UINT_8(0x07, 0x70, 0x52, 0x6E, 0x79, 0xC4, 0x5E, 0x95),
4361 MBEDTLS_BYTES_TO_T_UINT_8(0x36, 0xDF, 0xE8, 0x5A, 0x32, 0x81, 0xDA, 0xD3),
4362 MBEDTLS_BYTES_TO_T_UINT_8(0x3C, 0x2D, 0x94, 0x5B, 0xB5, 0x35, 0x9F, 0x0A),
4363 MBEDTLS_BYTES_TO_T_UINT_8(0x2A, 0x12, 0x8D, 0xC3, 0x36, 0x36, 0xB2, 0x2A),
4364 MBEDTLS_BYTES_TO_T_UINT_8(0x39, 0x2F, 0x22, 0x38, 0x5B, 0x18, 0x4C, 0x35),
kXuanba9cb762021-04-08 14:32:06 +08004365};
4366static const mbedtls_mpi_uint brainpoolP512r1_T_27_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004367 MBEDTLS_BYTES_TO_T_UINT_8(0x10, 0xC1, 0x22, 0x0E, 0xF0, 0x73, 0x11, 0x05),
4368 MBEDTLS_BYTES_TO_T_UINT_8(0xB2, 0xAE, 0xA4, 0x56, 0x18, 0x61, 0x66, 0x12),
4369 MBEDTLS_BYTES_TO_T_UINT_8(0x79, 0xFB, 0x72, 0x08, 0x84, 0x38, 0x51, 0xB0),
4370 MBEDTLS_BYTES_TO_T_UINT_8(0xDA, 0x86, 0xA8, 0xB9, 0x31, 0x99, 0x29, 0xC3),
4371 MBEDTLS_BYTES_TO_T_UINT_8(0x8A, 0xFB, 0xC3, 0x42, 0xB3, 0xC7, 0x6F, 0x3A),
4372 MBEDTLS_BYTES_TO_T_UINT_8(0xD8, 0xF8, 0xE1, 0x09, 0xBE, 0x75, 0xB0, 0x22),
4373 MBEDTLS_BYTES_TO_T_UINT_8(0x5A, 0x7D, 0xFF, 0xF4, 0x99, 0xFC, 0x13, 0xAB),
4374 MBEDTLS_BYTES_TO_T_UINT_8(0xE6, 0x1B, 0x84, 0x81, 0x42, 0x22, 0xC6, 0x3D),
kXuanba9cb762021-04-08 14:32:06 +08004375};
4376static const mbedtls_mpi_uint brainpoolP512r1_T_27_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004377 MBEDTLS_BYTES_TO_T_UINT_8(0x21, 0xE0, 0x37, 0xA4, 0xA0, 0x2F, 0x38, 0x7F),
4378 MBEDTLS_BYTES_TO_T_UINT_8(0xD0, 0x3D, 0xB7, 0x40, 0x2F, 0x39, 0x3C, 0x7A),
4379 MBEDTLS_BYTES_TO_T_UINT_8(0x7A, 0x3B, 0x8A, 0x51, 0xAE, 0x40, 0x49, 0x7A),
4380 MBEDTLS_BYTES_TO_T_UINT_8(0x36, 0x20, 0x9F, 0xDD, 0xA9, 0xD0, 0x77, 0xC7),
4381 MBEDTLS_BYTES_TO_T_UINT_8(0x78, 0x1D, 0x64, 0xDA, 0xA0, 0x53, 0xC7, 0x7D),
4382 MBEDTLS_BYTES_TO_T_UINT_8(0x37, 0x7B, 0x66, 0x55, 0x94, 0xD1, 0x51, 0x44),
4383 MBEDTLS_BYTES_TO_T_UINT_8(0x0E, 0xA9, 0xB5, 0x5B, 0x38, 0x35, 0x40, 0xC0),
4384 MBEDTLS_BYTES_TO_T_UINT_8(0xC8, 0xC9, 0x0F, 0xF0, 0x73, 0x79, 0x43, 0x61),
kXuanba9cb762021-04-08 14:32:06 +08004385};
4386static const mbedtls_mpi_uint brainpoolP512r1_T_28_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004387 MBEDTLS_BYTES_TO_T_UINT_8(0x10, 0x47, 0x45, 0x69, 0x80, 0x72, 0x72, 0x42),
4388 MBEDTLS_BYTES_TO_T_UINT_8(0x70, 0x11, 0x99, 0x59, 0xDB, 0x48, 0x80, 0x39),
4389 MBEDTLS_BYTES_TO_T_UINT_8(0x75, 0x6E, 0x3D, 0xFC, 0x37, 0x15, 0xF4, 0xBF),
4390 MBEDTLS_BYTES_TO_T_UINT_8(0x17, 0xBB, 0x5B, 0xA6, 0x35, 0x8D, 0x28, 0x20),
4391 MBEDTLS_BYTES_TO_T_UINT_8(0xAB, 0x1A, 0x3B, 0x2C, 0x8F, 0xD3, 0xAA, 0x2D),
4392 MBEDTLS_BYTES_TO_T_UINT_8(0x55, 0x1C, 0x1A, 0xF8, 0x02, 0xD9, 0x7B, 0x41),
4393 MBEDTLS_BYTES_TO_T_UINT_8(0xAF, 0x69, 0xAC, 0xF8, 0x54, 0x31, 0x14, 0xA1),
4394 MBEDTLS_BYTES_TO_T_UINT_8(0x41, 0x8A, 0xE6, 0xDE, 0x58, 0xB9, 0xC4, 0x7A),
kXuanba9cb762021-04-08 14:32:06 +08004395};
4396static const mbedtls_mpi_uint brainpoolP512r1_T_28_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004397 MBEDTLS_BYTES_TO_T_UINT_8(0x57, 0x83, 0x52, 0xFE, 0xF9, 0x7B, 0xE9, 0x1F),
4398 MBEDTLS_BYTES_TO_T_UINT_8(0x07, 0xA2, 0x55, 0x46, 0x15, 0x49, 0xC1, 0x3A),
4399 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0xBC, 0x5C, 0x91, 0xBD, 0xB9, 0x9C, 0xF4),
4400 MBEDTLS_BYTES_TO_T_UINT_8(0xBB, 0xFD, 0xB1, 0x4E, 0x5F, 0x74, 0xEE, 0x53),
4401 MBEDTLS_BYTES_TO_T_UINT_8(0xB1, 0x8B, 0xD8, 0x8B, 0x17, 0x73, 0x1B, 0x96),
4402 MBEDTLS_BYTES_TO_T_UINT_8(0x22, 0x92, 0xD7, 0x67, 0x06, 0xAD, 0x25, 0xCD),
4403 MBEDTLS_BYTES_TO_T_UINT_8(0x01, 0x0F, 0x80, 0x24, 0xE2, 0x27, 0x5F, 0x8B),
4404 MBEDTLS_BYTES_TO_T_UINT_8(0x61, 0x1C, 0xCE, 0xD0, 0x67, 0xCA, 0xD4, 0x0B),
kXuanba9cb762021-04-08 14:32:06 +08004405};
4406static const mbedtls_mpi_uint brainpoolP512r1_T_29_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004407 MBEDTLS_BYTES_TO_T_UINT_8(0x87, 0xF1, 0xDD, 0x33, 0x66, 0xF9, 0x05, 0xD6),
4408 MBEDTLS_BYTES_TO_T_UINT_8(0x1D, 0xE5, 0x6B, 0x79, 0xBD, 0x48, 0x42, 0xAA),
4409 MBEDTLS_BYTES_TO_T_UINT_8(0xD1, 0x14, 0x52, 0xE3, 0x53, 0xB4, 0x50, 0xD4),
4410 MBEDTLS_BYTES_TO_T_UINT_8(0x32, 0x84, 0x6C, 0xCF, 0xDA, 0xB2, 0x20, 0x0A),
4411 MBEDTLS_BYTES_TO_T_UINT_8(0x70, 0xD6, 0x1A, 0xE5, 0xE2, 0x29, 0x70, 0xCE),
4412 MBEDTLS_BYTES_TO_T_UINT_8(0xD5, 0x61, 0xFE, 0xBB, 0x21, 0x82, 0xD1, 0xFE),
4413 MBEDTLS_BYTES_TO_T_UINT_8(0x2C, 0xF0, 0x9C, 0x8B, 0x1A, 0x42, 0x30, 0x06),
4414 MBEDTLS_BYTES_TO_T_UINT_8(0x43, 0xD6, 0x49, 0x81, 0x92, 0xF1, 0xD0, 0x90),
kXuanba9cb762021-04-08 14:32:06 +08004415};
4416static const mbedtls_mpi_uint brainpoolP512r1_T_29_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004417 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0x91, 0x93, 0x6A, 0xA6, 0x22, 0xE9, 0xD6),
4418 MBEDTLS_BYTES_TO_T_UINT_8(0x09, 0xDC, 0xC3, 0x69, 0x11, 0x95, 0x7D, 0xEC),
4419 MBEDTLS_BYTES_TO_T_UINT_8(0x1C, 0xA3, 0x9D, 0x87, 0x5E, 0x64, 0x41, 0xA2),
4420 MBEDTLS_BYTES_TO_T_UINT_8(0xBE, 0x87, 0x5A, 0x15, 0xBD, 0x6E, 0x3C, 0x8D),
4421 MBEDTLS_BYTES_TO_T_UINT_8(0xD0, 0x8D, 0x50, 0xCC, 0xCF, 0xB7, 0x8F, 0x0B),
4422 MBEDTLS_BYTES_TO_T_UINT_8(0x38, 0x65, 0xCD, 0x31, 0x30, 0xF1, 0x68, 0x13),
4423 MBEDTLS_BYTES_TO_T_UINT_8(0x10, 0x5C, 0x66, 0x67, 0x92, 0x30, 0x57, 0x95),
4424 MBEDTLS_BYTES_TO_T_UINT_8(0x23, 0x9B, 0x01, 0x3D, 0x20, 0x8B, 0xD1, 0x0D),
kXuanba9cb762021-04-08 14:32:06 +08004425};
4426static const mbedtls_mpi_uint brainpoolP512r1_T_30_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004427 MBEDTLS_BYTES_TO_T_UINT_8(0xAB, 0xC0, 0xE6, 0x4F, 0xDE, 0x62, 0xAB, 0xB3),
4428 MBEDTLS_BYTES_TO_T_UINT_8(0xA4, 0x48, 0xB3, 0x1C, 0x0F, 0x16, 0x93, 0x45),
4429 MBEDTLS_BYTES_TO_T_UINT_8(0x77, 0x63, 0xBD, 0x1F, 0x16, 0x50, 0x56, 0x98),
4430 MBEDTLS_BYTES_TO_T_UINT_8(0x5D, 0x06, 0xBC, 0xE9, 0x27, 0x1C, 0x9A, 0x7B),
4431 MBEDTLS_BYTES_TO_T_UINT_8(0xF8, 0xFE, 0x21, 0xC5, 0x39, 0x55, 0xE1, 0xFD),
4432 MBEDTLS_BYTES_TO_T_UINT_8(0xF6, 0xA8, 0xD0, 0x96, 0x0E, 0xB5, 0xB2, 0x84),
4433 MBEDTLS_BYTES_TO_T_UINT_8(0x3D, 0xE7, 0x4B, 0xF3, 0x11, 0x0C, 0xC9, 0x5B),
4434 MBEDTLS_BYTES_TO_T_UINT_8(0x43, 0x3A, 0xC4, 0x87, 0x71, 0xEE, 0xFA, 0x18),
kXuanba9cb762021-04-08 14:32:06 +08004435};
4436static const mbedtls_mpi_uint brainpoolP512r1_T_30_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004437 MBEDTLS_BYTES_TO_T_UINT_8(0xA7, 0x77, 0xEE, 0x81, 0x5E, 0x96, 0xEA, 0x4B),
4438 MBEDTLS_BYTES_TO_T_UINT_8(0xEE, 0xDF, 0xA9, 0xF4, 0x4F, 0x7C, 0xB2, 0x43),
4439 MBEDTLS_BYTES_TO_T_UINT_8(0x9F, 0xD4, 0xDF, 0x35, 0x63, 0x47, 0x25, 0x8A),
4440 MBEDTLS_BYTES_TO_T_UINT_8(0xA5, 0x3D, 0xFF, 0xA4, 0x02, 0xC3, 0x95, 0x11),
4441 MBEDTLS_BYTES_TO_T_UINT_8(0xD5, 0x10, 0x78, 0xD1, 0x2B, 0xB7, 0xBE, 0x0E),
4442 MBEDTLS_BYTES_TO_T_UINT_8(0x0A, 0xE9, 0x57, 0xF9, 0xE0, 0xD8, 0xFC, 0xBC),
4443 MBEDTLS_BYTES_TO_T_UINT_8(0xF3, 0xC4, 0x01, 0xD6, 0xB4, 0xE7, 0x78, 0xE2),
4444 MBEDTLS_BYTES_TO_T_UINT_8(0x02, 0x6C, 0xB9, 0x13, 0xA4, 0xE8, 0x6D, 0x6F),
kXuanba9cb762021-04-08 14:32:06 +08004445};
4446static const mbedtls_mpi_uint brainpoolP512r1_T_31_X[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004447 MBEDTLS_BYTES_TO_T_UINT_8(0xE8, 0xB0, 0xC9, 0xCD, 0xBF, 0xA2, 0x1E, 0x63),
4448 MBEDTLS_BYTES_TO_T_UINT_8(0xDD, 0x4F, 0x86, 0x22, 0x9B, 0xEA, 0xE8, 0xBB),
4449 MBEDTLS_BYTES_TO_T_UINT_8(0x50, 0x46, 0xDF, 0x43, 0xB9, 0x82, 0x2D, 0x0A),
4450 MBEDTLS_BYTES_TO_T_UINT_8(0x07, 0x32, 0xF1, 0x4E, 0x95, 0x41, 0xAE, 0x8E),
4451 MBEDTLS_BYTES_TO_T_UINT_8(0x52, 0x93, 0x26, 0xFC, 0xD3, 0x90, 0xDC, 0xEB),
4452 MBEDTLS_BYTES_TO_T_UINT_8(0x04, 0x05, 0x45, 0xCA, 0xF9, 0x5A, 0x89, 0x93),
4453 MBEDTLS_BYTES_TO_T_UINT_8(0xC5, 0x82, 0x63, 0x4E, 0x55, 0x1D, 0x3A, 0x08),
4454 MBEDTLS_BYTES_TO_T_UINT_8(0x7C, 0x69, 0x52, 0x49, 0xE9, 0xED, 0x57, 0x34),
kXuanba9cb762021-04-08 14:32:06 +08004455};
4456static const mbedtls_mpi_uint brainpoolP512r1_T_31_Y[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01004457 MBEDTLS_BYTES_TO_T_UINT_8(0x70, 0x64, 0xE9, 0xAC, 0x4C, 0x4A, 0xEA, 0x25),
4458 MBEDTLS_BYTES_TO_T_UINT_8(0xE9, 0xE9, 0x0B, 0x99, 0xE7, 0xF9, 0xA9, 0x2C),
4459 MBEDTLS_BYTES_TO_T_UINT_8(0x24, 0x0C, 0xC1, 0xF4, 0x8D, 0x07, 0xB6, 0xB1),
4460 MBEDTLS_BYTES_TO_T_UINT_8(0xAD, 0x68, 0xFA, 0x35, 0xE4, 0x9E, 0xAE, 0xD9),
4461 MBEDTLS_BYTES_TO_T_UINT_8(0xF0, 0x2D, 0x1A, 0x13, 0x8E, 0x02, 0xE2, 0x63),
4462 MBEDTLS_BYTES_TO_T_UINT_8(0x27, 0x38, 0x28, 0x86, 0x46, 0x7B, 0x3A, 0xE1),
4463 MBEDTLS_BYTES_TO_T_UINT_8(0x3F, 0x4C, 0x64, 0x59, 0x0A, 0xF9, 0x02, 0xC4),
4464 MBEDTLS_BYTES_TO_T_UINT_8(0x41, 0x4F, 0x23, 0xA2, 0xC3, 0xD5, 0xEF, 0x42),
kXuanba9cb762021-04-08 14:32:06 +08004465};
4466static const mbedtls_ecp_point brainpoolP512r1_T[32] = {
4467 ECP_POINT_INIT_XY_Z1(brainpoolP512r1_T_0_X, brainpoolP512r1_T_0_Y),
4468 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_1_X, brainpoolP512r1_T_1_Y),
4469 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_2_X, brainpoolP512r1_T_2_Y),
4470 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_3_X, brainpoolP512r1_T_3_Y),
4471 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_4_X, brainpoolP512r1_T_4_Y),
4472 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_5_X, brainpoolP512r1_T_5_Y),
4473 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_6_X, brainpoolP512r1_T_6_Y),
4474 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_7_X, brainpoolP512r1_T_7_Y),
4475 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_8_X, brainpoolP512r1_T_8_Y),
4476 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_9_X, brainpoolP512r1_T_9_Y),
4477 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_10_X, brainpoolP512r1_T_10_Y),
4478 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_11_X, brainpoolP512r1_T_11_Y),
4479 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_12_X, brainpoolP512r1_T_12_Y),
4480 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_13_X, brainpoolP512r1_T_13_Y),
4481 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_14_X, brainpoolP512r1_T_14_Y),
4482 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_15_X, brainpoolP512r1_T_15_Y),
4483 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_16_X, brainpoolP512r1_T_16_Y),
4484 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_17_X, brainpoolP512r1_T_17_Y),
4485 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_18_X, brainpoolP512r1_T_18_Y),
4486 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_19_X, brainpoolP512r1_T_19_Y),
4487 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_20_X, brainpoolP512r1_T_20_Y),
4488 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_21_X, brainpoolP512r1_T_21_Y),
4489 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_22_X, brainpoolP512r1_T_22_Y),
4490 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_23_X, brainpoolP512r1_T_23_Y),
4491 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_24_X, brainpoolP512r1_T_24_Y),
4492 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_25_X, brainpoolP512r1_T_25_Y),
4493 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_26_X, brainpoolP512r1_T_26_Y),
4494 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_27_X, brainpoolP512r1_T_27_Y),
4495 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_28_X, brainpoolP512r1_T_28_Y),
4496 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_29_X, brainpoolP512r1_T_29_Y),
4497 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_30_X, brainpoolP512r1_T_30_Y),
4498 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_31_X, brainpoolP512r1_T_31_Y),
4499};
4500#else
4501#define brainpoolP512r1_T NULL
Gilles Peskineaa9493a2018-09-12 14:44:03 +02004502#endif
kXuanba9cb762021-04-08 14:32:06 +08004503#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
Gilles Peskineaa9493a2018-09-12 14:44:03 +02004504
4505#if defined(ECP_LOAD_GROUP)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004506/*
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004507 * Create an MPI from embedded constants
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004508 * (assumes len is an exact multiple of sizeof mbedtls_mpi_uint)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004509 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004510static inline void ecp_mpi_load(mbedtls_mpi *X, const mbedtls_mpi_uint *p, size_t len)
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004511{
4512 X->s = 1;
Gilles Peskine449bd832023-01-11 14:50:10 +01004513 X->n = len / sizeof(mbedtls_mpi_uint);
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004514 X->p = (mbedtls_mpi_uint *) p;
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004515}
4516
4517/*
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004518 * Set an MPI to static value 1
4519 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004520static inline void ecp_mpi_set1(mbedtls_mpi *X)
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004521{
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004522 X->s = 1;
4523 X->n = 1;
kXuanba9cb762021-04-08 14:32:06 +08004524 X->p = mpi_one;
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004525}
4526
4527/*
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004528 * Make group available from embedded constants
4529 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004530static int ecp_group_load(mbedtls_ecp_group *grp,
4531 const mbedtls_mpi_uint *p, size_t plen,
4532 const mbedtls_mpi_uint *a, size_t alen,
4533 const mbedtls_mpi_uint *b, size_t blen,
4534 const mbedtls_mpi_uint *gx, size_t gxlen,
4535 const mbedtls_mpi_uint *gy, size_t gylen,
4536 const mbedtls_mpi_uint *n, size_t nlen,
4537 const mbedtls_ecp_point *T)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004538{
Gilles Peskine449bd832023-01-11 14:50:10 +01004539 ecp_mpi_load(&grp->P, p, plen);
4540 if (a != NULL) {
4541 ecp_mpi_load(&grp->A, a, alen);
4542 }
4543 ecp_mpi_load(&grp->B, b, blen);
4544 ecp_mpi_load(&grp->N, n, nlen);
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004545
Gilles Peskine449bd832023-01-11 14:50:10 +01004546 ecp_mpi_load(&grp->G.X, gx, gxlen);
4547 ecp_mpi_load(&grp->G.Y, gy, gylen);
4548 ecp_mpi_set1(&grp->G.Z);
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004549
Gilles Peskine449bd832023-01-11 14:50:10 +01004550 grp->pbits = mbedtls_mpi_bitlen(&grp->P);
4551 grp->nbits = mbedtls_mpi_bitlen(&grp->N);
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004552
Manuel Pégourié-Gonnard1f82b042013-12-06 12:51:50 +01004553 grp->h = 1;
4554
kXuanba9cb762021-04-08 14:32:06 +08004555 grp->T = (mbedtls_ecp_point *) T;
4556 /*
4557 * Set T_size to 0 to prevent T free by mbedtls_ecp_group_free.
4558 */
4559 grp->T_size = 0;
4560
Gilles Peskine449bd832023-01-11 14:50:10 +01004561 return 0;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004562}
Gilles Peskineaa9493a2018-09-12 14:44:03 +02004563#endif /* ECP_LOAD_GROUP */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004564
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004565#if defined(MBEDTLS_ECP_NIST_OPTIM)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004566/* Forward declarations */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004567#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
Gilles Peskine449bd832023-01-11 14:50:10 +01004568static int ecp_mod_p192(mbedtls_mpi *);
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004569#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004570#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
Gilles Peskine449bd832023-01-11 14:50:10 +01004571static int ecp_mod_p224(mbedtls_mpi *);
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004572#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004573#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
Gilles Peskine449bd832023-01-11 14:50:10 +01004574static int ecp_mod_p256(mbedtls_mpi *);
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004575#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004576#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
Gilles Peskine449bd832023-01-11 14:50:10 +01004577static int ecp_mod_p384(mbedtls_mpi *);
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004578#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004579#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
Gilles Peskine449bd832023-01-11 14:50:10 +01004580static int ecp_mod_p521(mbedtls_mpi *);
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004581#endif
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004582
Gilles Peskine449bd832023-01-11 14:50:10 +01004583#define NIST_MODP(P) grp->modp = ecp_mod_ ## P;
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004584#else
Gilles Peskine449bd832023-01-11 14:50:10 +01004585#define NIST_MODP(P)
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004586#endif /* MBEDTLS_ECP_NIST_OPTIM */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004587
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01004588/* Additional forward declarations */
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004589#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
Gilles Peskine449bd832023-01-11 14:50:10 +01004590static int ecp_mod_p255(mbedtls_mpi *);
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01004591#endif
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004592#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
Gilles Peskine449bd832023-01-11 14:50:10 +01004593static int ecp_mod_p448(mbedtls_mpi *);
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004594#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004595#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
Gilles Peskine449bd832023-01-11 14:50:10 +01004596static int ecp_mod_p192k1(mbedtls_mpi *);
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01004597#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004598#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
Gilles Peskine449bd832023-01-11 14:50:10 +01004599static int ecp_mod_p224k1(mbedtls_mpi *);
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01004600#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004601#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
Gilles Peskine449bd832023-01-11 14:50:10 +01004602static int ecp_mod_p256k1(mbedtls_mpi *);
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01004603#endif
4604
Gilles Peskineaa9493a2018-09-12 14:44:03 +02004605#if defined(ECP_LOAD_GROUP)
Gilles Peskine449bd832023-01-11 14:50:10 +01004606#define LOAD_GROUP_A(G) ecp_group_load(grp, \
4607 G ## _p, sizeof(G ## _p), \
4608 G ## _a, sizeof(G ## _a), \
4609 G ## _b, sizeof(G ## _b), \
4610 G ## _gx, sizeof(G ## _gx), \
4611 G ## _gy, sizeof(G ## _gy), \
4612 G ## _n, sizeof(G ## _n), \
4613 G ## _T \
4614 )
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004615
Gilles Peskine449bd832023-01-11 14:50:10 +01004616#define LOAD_GROUP(G) ecp_group_load(grp, \
4617 G ## _p, sizeof(G ## _p), \
4618 NULL, 0, \
4619 G ## _b, sizeof(G ## _b), \
4620 G ## _gx, sizeof(G ## _gx), \
4621 G ## _gy, sizeof(G ## _gy), \
4622 G ## _n, sizeof(G ## _n), \
4623 G ## _T \
4624 )
Gilles Peskineaa9493a2018-09-12 14:44:03 +02004625#endif /* ECP_LOAD_GROUP */
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004626
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004627#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
Manuel Pégourié-Gonnard2d457b82021-06-23 12:43:34 +02004628/* Constants used by ecp_use_curve25519() */
Janos Follath8b8b7812021-06-24 15:00:33 +01004629static const mbedtls_mpi_sint curve25519_a24 = 0x01DB42;
Manuel Pégourié-Gonnard2d457b82021-06-23 12:43:34 +02004630static const unsigned char curve25519_part_of_n[] = {
4631 0x14, 0xDE, 0xF9, 0xDE, 0xA2, 0xF7, 0x9C, 0xD6,
4632 0x58, 0x12, 0x63, 0x1A, 0x5C, 0xF5, 0xD3, 0xED,
4633};
4634
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004635/*
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004636 * Specialized function for creating the Curve25519 group
4637 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004638static int ecp_use_curve25519(mbedtls_ecp_group *grp)
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004639{
Janos Follath24eed8d2019-11-22 13:21:35 +00004640 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004641
4642 /* Actually ( A + 2 ) / 4 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004643 MBEDTLS_MPI_CHK(mbedtls_mpi_lset(&grp->A, curve25519_a24));
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004644
4645 /* P = 2^255 - 19 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004646 MBEDTLS_MPI_CHK(mbedtls_mpi_lset(&grp->P, 1));
4647 MBEDTLS_MPI_CHK(mbedtls_mpi_shift_l(&grp->P, 255));
4648 MBEDTLS_MPI_CHK(mbedtls_mpi_sub_int(&grp->P, &grp->P, 19));
4649 grp->pbits = mbedtls_mpi_bitlen(&grp->P);
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004650
Nicholas Wilson54fc34e2016-05-16 15:15:45 +01004651 /* N = 2^252 + 27742317777372353535851937790883648493 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004652 MBEDTLS_MPI_CHK(mbedtls_mpi_read_binary(&grp->N,
4653 curve25519_part_of_n, sizeof(curve25519_part_of_n)));
4654 MBEDTLS_MPI_CHK(mbedtls_mpi_set_bit(&grp->N, 252, 1));
Nicholas Wilson54fc34e2016-05-16 15:15:45 +01004655
Manuel Pégourié-Gonnard18b78432018-03-28 11:14:06 +02004656 /* Y intentionally not set, since we use x/z coordinates.
Manuel Pégourié-Gonnard312d2e82013-12-04 11:08:01 +01004657 * This is used as a marker to identify Montgomery curves! */
Gilles Peskine449bd832023-01-11 14:50:10 +01004658 MBEDTLS_MPI_CHK(mbedtls_mpi_lset(&grp->G.X, 9));
4659 MBEDTLS_MPI_CHK(mbedtls_mpi_lset(&grp->G.Z, 1));
4660 mbedtls_mpi_free(&grp->G.Y);
Manuel Pégourié-Gonnard312d2e82013-12-04 11:08:01 +01004661
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004662 /* Actually, the required msb for private keys */
4663 grp->nbits = 254;
4664
4665cleanup:
Gilles Peskine449bd832023-01-11 14:50:10 +01004666 if (ret != 0) {
4667 mbedtls_ecp_group_free(grp);
4668 }
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004669
Gilles Peskine449bd832023-01-11 14:50:10 +01004670 return ret;
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004671}
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004672#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004673
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004674#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
Manuel Pégourié-Gonnard2d457b82021-06-23 12:43:34 +02004675/* Constants used by ecp_use_curve448() */
Janos Follath8b8b7812021-06-24 15:00:33 +01004676static const mbedtls_mpi_sint curve448_a24 = 0x98AA;
Manuel Pégourié-Gonnard2d457b82021-06-23 12:43:34 +02004677static const unsigned char curve448_part_of_n[] = {
4678 0x83, 0x35, 0xDC, 0x16, 0x3B, 0xB1, 0x24,
4679 0xB6, 0x51, 0x29, 0xC9, 0x6F, 0xDE, 0x93,
4680 0x3D, 0x8D, 0x72, 0x3A, 0x70, 0xAA, 0xDC,
4681 0x87, 0x3D, 0x6D, 0x54, 0xA7, 0xBB, 0x0D,
4682};
4683
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004684/*
4685 * Specialized function for creating the Curve448 group
4686 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004687static int ecp_use_curve448(mbedtls_ecp_group *grp)
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004688{
4689 mbedtls_mpi Ns;
Janos Follath24eed8d2019-11-22 13:21:35 +00004690 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004691
Gilles Peskine449bd832023-01-11 14:50:10 +01004692 mbedtls_mpi_init(&Ns);
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004693
4694 /* Actually ( A + 2 ) / 4 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004695 MBEDTLS_MPI_CHK(mbedtls_mpi_lset(&grp->A, curve448_a24));
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004696
4697 /* P = 2^448 - 2^224 - 1 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004698 MBEDTLS_MPI_CHK(mbedtls_mpi_lset(&grp->P, 1));
4699 MBEDTLS_MPI_CHK(mbedtls_mpi_shift_l(&grp->P, 224));
4700 MBEDTLS_MPI_CHK(mbedtls_mpi_sub_int(&grp->P, &grp->P, 1));
4701 MBEDTLS_MPI_CHK(mbedtls_mpi_shift_l(&grp->P, 224));
4702 MBEDTLS_MPI_CHK(mbedtls_mpi_sub_int(&grp->P, &grp->P, 1));
4703 grp->pbits = mbedtls_mpi_bitlen(&grp->P);
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004704
4705 /* Y intentionally not set, since we use x/z coordinates.
4706 * This is used as a marker to identify Montgomery curves! */
Gilles Peskine449bd832023-01-11 14:50:10 +01004707 MBEDTLS_MPI_CHK(mbedtls_mpi_lset(&grp->G.X, 5));
4708 MBEDTLS_MPI_CHK(mbedtls_mpi_lset(&grp->G.Z, 1));
4709 mbedtls_mpi_free(&grp->G.Y);
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004710
4711 /* N = 2^446 - 13818066809895115352007386748515426880336692474882178609894547503885 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004712 MBEDTLS_MPI_CHK(mbedtls_mpi_set_bit(&grp->N, 446, 1));
4713 MBEDTLS_MPI_CHK(mbedtls_mpi_read_binary(&Ns,
4714 curve448_part_of_n, sizeof(curve448_part_of_n)));
4715 MBEDTLS_MPI_CHK(mbedtls_mpi_sub_mpi(&grp->N, &grp->N, &Ns));
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004716
4717 /* Actually, the required msb for private keys */
4718 grp->nbits = 447;
4719
4720cleanup:
Gilles Peskine449bd832023-01-11 14:50:10 +01004721 mbedtls_mpi_free(&Ns);
4722 if (ret != 0) {
4723 mbedtls_ecp_group_free(grp);
4724 }
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004725
Gilles Peskine449bd832023-01-11 14:50:10 +01004726 return ret;
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004727}
4728#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
4729
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004730/*
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004731 * Set a group using well-known domain parameters
4732 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004733int mbedtls_ecp_group_load(mbedtls_ecp_group *grp, mbedtls_ecp_group_id id)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004734{
Gilles Peskine449bd832023-01-11 14:50:10 +01004735 ECP_VALIDATE_RET(grp != NULL);
4736 mbedtls_ecp_group_free(grp);
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004737
Gilles Peskine449bd832023-01-11 14:50:10 +01004738 mbedtls_ecp_group_init(grp);
Pol Henarejosb101cb62022-05-06 18:43:58 +02004739
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004740 grp->id = id;
4741
Gilles Peskine449bd832023-01-11 14:50:10 +01004742 switch (id) {
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004743#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
4744 case MBEDTLS_ECP_DP_SECP192R1:
Gilles Peskine449bd832023-01-11 14:50:10 +01004745 NIST_MODP(p192);
4746 return LOAD_GROUP(secp192r1);
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004747#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004748
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004749#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
4750 case MBEDTLS_ECP_DP_SECP224R1:
Gilles Peskine449bd832023-01-11 14:50:10 +01004751 NIST_MODP(p224);
4752 return LOAD_GROUP(secp224r1);
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004753#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004754
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004755#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
4756 case MBEDTLS_ECP_DP_SECP256R1:
Gilles Peskine449bd832023-01-11 14:50:10 +01004757 NIST_MODP(p256);
4758 return LOAD_GROUP(secp256r1);
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004759#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004760
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004761#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
4762 case MBEDTLS_ECP_DP_SECP384R1:
Gilles Peskine449bd832023-01-11 14:50:10 +01004763 NIST_MODP(p384);
4764 return LOAD_GROUP(secp384r1);
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004765#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004766
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004767#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
4768 case MBEDTLS_ECP_DP_SECP521R1:
Gilles Peskine449bd832023-01-11 14:50:10 +01004769 NIST_MODP(p521);
4770 return LOAD_GROUP(secp521r1);
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004771#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004772
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004773#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
4774 case MBEDTLS_ECP_DP_SECP192K1:
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01004775 grp->modp = ecp_mod_p192k1;
Gilles Peskine449bd832023-01-11 14:50:10 +01004776 return LOAD_GROUP_A(secp192k1);
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004777#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01004778
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004779#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
4780 case MBEDTLS_ECP_DP_SECP224K1:
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01004781 grp->modp = ecp_mod_p224k1;
Gilles Peskine449bd832023-01-11 14:50:10 +01004782 return LOAD_GROUP_A(secp224k1);
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004783#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01004784
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004785#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
4786 case MBEDTLS_ECP_DP_SECP256K1:
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01004787 grp->modp = ecp_mod_p256k1;
Gilles Peskine449bd832023-01-11 14:50:10 +01004788 return LOAD_GROUP_A(secp256k1);
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004789#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01004790
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004791#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
4792 case MBEDTLS_ECP_DP_BP256R1:
Gilles Peskine449bd832023-01-11 14:50:10 +01004793 return LOAD_GROUP_A(brainpoolP256r1);
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004794#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004795
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004796#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
4797 case MBEDTLS_ECP_DP_BP384R1:
Gilles Peskine449bd832023-01-11 14:50:10 +01004798 return LOAD_GROUP_A(brainpoolP384r1);
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004799#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004800
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004801#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
4802 case MBEDTLS_ECP_DP_BP512R1:
Gilles Peskine449bd832023-01-11 14:50:10 +01004803 return LOAD_GROUP_A(brainpoolP512r1);
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004804#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004805
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004806#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
4807 case MBEDTLS_ECP_DP_CURVE25519:
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004808 grp->modp = ecp_mod_p255;
Gilles Peskine449bd832023-01-11 14:50:10 +01004809 return ecp_use_curve25519(grp);
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004810#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004811
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004812#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
4813 case MBEDTLS_ECP_DP_CURVE448:
4814 grp->modp = ecp_mod_p448;
Gilles Peskine449bd832023-01-11 14:50:10 +01004815 return ecp_use_curve448(grp);
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004816#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
4817
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004818 default:
Alexander K56a74cd2019-09-10 17:58:20 +03004819 grp->id = MBEDTLS_ECP_DP_NONE;
Gilles Peskine449bd832023-01-11 14:50:10 +01004820 return MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004821 }
4822}
4823
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004824#if defined(MBEDTLS_ECP_NIST_OPTIM)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004825/*
4826 * Fast reduction modulo the primes used by the NIST curves.
4827 *
4828 * These functions are critical for speed, but not needed for correct
4829 * operations. So, we make the choice to heavily rely on the internals of our
4830 * bignum library, which creates a tight coupling between these functions and
4831 * our MPI implementation. However, the coupling between the ECP module and
4832 * MPI remains loose, since these functions can be deactivated at will.
4833 */
4834
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004835#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004836/*
4837 * Compared to the way things are presented in FIPS 186-3 D.2,
4838 * we proceed in columns, from right (least significant chunk) to left,
4839 * adding chunks to N in place, and keeping a carry for the next chunk.
4840 * This avoids moving things around in memory, and uselessly adding zeros,
4841 * compared to the more straightforward, line-oriented approach.
4842 *
4843 * For this prime we need to handle data in chunks of 64 bits.
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004844 * Since this is always a multiple of our basic mbedtls_mpi_uint, we can
4845 * use a mbedtls_mpi_uint * to designate such a chunk, and small loops to handle it.
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004846 */
4847
4848/* Add 64-bit chunks (dst += src) and update carry */
Gilles Peskine449bd832023-01-11 14:50:10 +01004849static inline void add64(mbedtls_mpi_uint *dst, mbedtls_mpi_uint *src, mbedtls_mpi_uint *carry)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004850{
4851 unsigned char i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004852 mbedtls_mpi_uint c = 0;
Gilles Peskine449bd832023-01-11 14:50:10 +01004853 for (i = 0; i < 8 / sizeof(mbedtls_mpi_uint); i++, dst++, src++) {
4854 *dst += c; c = (*dst < c);
4855 *dst += *src; c += (*dst < *src);
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004856 }
4857 *carry += c;
4858}
4859
4860/* Add carry to a 64-bit chunk and update carry */
Gilles Peskine449bd832023-01-11 14:50:10 +01004861static inline void carry64(mbedtls_mpi_uint *dst, mbedtls_mpi_uint *carry)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004862{
4863 unsigned char i;
Gilles Peskine449bd832023-01-11 14:50:10 +01004864 for (i = 0; i < 8 / sizeof(mbedtls_mpi_uint); i++, dst++) {
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004865 *dst += *carry;
Gilles Peskine449bd832023-01-11 14:50:10 +01004866 *carry = (*dst < *carry);
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004867 }
4868}
4869
Gilles Peskine449bd832023-01-11 14:50:10 +01004870#define WIDTH 8 / sizeof(mbedtls_mpi_uint)
4871#define A(i) N->p + (i) * WIDTH
4872#define ADD(i) add64(p, A(i), &c)
4873#define NEXT p += WIDTH; carry64(p, &c)
4874#define LAST p += WIDTH; *p = c; while (++p < end) *p = 0
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004875
4876/*
4877 * Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
4878 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004879static int ecp_mod_p192(mbedtls_mpi *N)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004880{
Janos Follath24eed8d2019-11-22 13:21:35 +00004881 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004882 mbedtls_mpi_uint c = 0;
4883 mbedtls_mpi_uint *p, *end;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004884
4885 /* Make sure we have enough blocks so that A(5) is legal */
Gilles Peskine449bd832023-01-11 14:50:10 +01004886 MBEDTLS_MPI_CHK(mbedtls_mpi_grow(N, 6 * WIDTH));
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004887
4888 p = N->p;
4889 end = p + N->n;
4890
Gilles Peskine449bd832023-01-11 14:50:10 +01004891 ADD(3); ADD(5); NEXT; // A0 += A3 + A5
4892 ADD(3); ADD(4); ADD(5); NEXT; // A1 += A3 + A4 + A5
4893 ADD(4); ADD(5); LAST; // A2 += A4 + A5
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004894
4895cleanup:
Gilles Peskine449bd832023-01-11 14:50:10 +01004896 return ret;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004897}
4898
4899#undef WIDTH
4900#undef A
4901#undef ADD
4902#undef NEXT
4903#undef LAST
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004904#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004905
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004906#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
4907 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
4908 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004909/*
4910 * The reader is advised to first understand ecp_mod_p192() since the same
4911 * general structure is used here, but with additional complications:
4912 * (1) chunks of 32 bits, and (2) subtractions.
4913 */
4914
4915/*
4916 * For these primes, we need to handle data in chunks of 32 bits.
4917 * This makes it more complicated if we use 64 bits limbs in MPI,
4918 * which prevents us from using a uniform access method as for p192.
4919 *
4920 * So, we define a mini abstraction layer to access 32 bit chunks,
4921 * load them in 'cur' for work, and store them back from 'cur' when done.
4922 *
4923 * While at it, also define the size of N in terms of 32-bit chunks.
4924 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004925#define LOAD32 cur = A(i);
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004926
Manuel Pégourié-Gonnard7b538892015-04-09 17:00:17 +02004927#if defined(MBEDTLS_HAVE_INT32) /* 32 bit */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004928
4929#define MAX32 N->n
Gilles Peskine449bd832023-01-11 14:50:10 +01004930#define A(j) N->p[j]
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004931#define STORE32 N->p[i] = cur;
4932
4933#else /* 64-bit */
4934
4935#define MAX32 N->n * 2
Gilles Peskine449bd832023-01-11 14:50:10 +01004936#define A(j) (j) % 2 ? (uint32_t) (N->p[(j)/2] >> 32) : \
4937 (uint32_t) (N->p[(j)/2])
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004938#define STORE32 \
Gilles Peskine449bd832023-01-11 14:50:10 +01004939 if (i % 2) { \
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004940 N->p[i/2] &= 0x00000000FFFFFFFF; \
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004941 N->p[i/2] |= ((mbedtls_mpi_uint) cur) << 32; \
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004942 } else { \
4943 N->p[i/2] &= 0xFFFFFFFF00000000; \
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004944 N->p[i/2] |= (mbedtls_mpi_uint) cur; \
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004945 }
4946
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004947#endif /* sizeof( mbedtls_mpi_uint ) */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004948
4949/*
4950 * Helpers for addition and subtraction of chunks, with signed carry.
4951 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004952static inline void add32(uint32_t *dst, uint32_t src, signed char *carry)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004953{
4954 *dst += src;
Gilles Peskine449bd832023-01-11 14:50:10 +01004955 *carry += (*dst < src);
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004956}
4957
Gilles Peskine449bd832023-01-11 14:50:10 +01004958static inline void sub32(uint32_t *dst, uint32_t src, signed char *carry)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004959{
Gilles Peskine449bd832023-01-11 14:50:10 +01004960 *carry -= (*dst < src);
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004961 *dst -= src;
4962}
4963
Gilles Peskine449bd832023-01-11 14:50:10 +01004964#define ADD(j) add32(&cur, A(j), &c);
4965#define SUB(j) sub32(&cur, A(j), &c);
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004966
4967/*
4968 * Helpers for the main 'loop'
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004969 */
Gilles Peskine449bd832023-01-11 14:50:10 +01004970#define INIT(b) \
Gilles Peskined10e8fa2020-07-22 19:58:28 +02004971 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED; \
Hanno Becker1eeca412018-10-15 12:01:35 +01004972 signed char c = 0, cc; \
4973 uint32_t cur; \
4974 size_t i = 0, bits = (b); \
Gilles Peskined10e8fa2020-07-22 19:58:28 +02004975 /* N is the size of the product of two b-bit numbers, plus one */ \
4976 /* limb for fix_negative */ \
Gilles Peskine449bd832023-01-11 14:50:10 +01004977 MBEDTLS_MPI_CHK(mbedtls_mpi_grow(N, (b) * 2 / biL + 1)); \
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004978 LOAD32;
4979
4980#define NEXT \
4981 STORE32; i++; LOAD32; \
4982 cc = c; c = 0; \
Gilles Peskine449bd832023-01-11 14:50:10 +01004983 if (cc < 0) \
4984 sub32(&cur, -cc, &c); \
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004985 else \
Gilles Peskine449bd832023-01-11 14:50:10 +01004986 add32(&cur, cc, &c); \
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004987
4988#define LAST \
4989 STORE32; i++; \
4990 cur = c > 0 ? c : 0; STORE32; \
Gilles Peskine449bd832023-01-11 14:50:10 +01004991 cur = 0; while (++i < MAX32) { STORE32; } \
4992 if (c < 0) mbedtls_ecp_fix_negative(N, c, bits);
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004993
4994/*
4995 * If the result is negative, we get it in the form
Gilles Peskine349b3722021-04-03 21:40:11 +02004996 * c * 2^bits + N, with c negative and N positive shorter than 'bits'
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004997 */
Gilles Peskine618be2e2021-04-03 21:47:53 +02004998MBEDTLS_STATIC_TESTABLE
Gilles Peskine449bd832023-01-11 14:50:10 +01004999void mbedtls_ecp_fix_negative(mbedtls_mpi *N, signed char c, size_t bits)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005000{
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005001 size_t i;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005002
Gilles Peskineff6a32d2021-04-03 20:21:43 +02005003 /* Set N := 2^bits - 1 - N. We know that 0 <= N < 2^bits, so
5004 * set the absolute value to 0xfff...fff - N. There is no carry
5005 * since we're subtracting from all-bits-one. */
Gilles Peskine449bd832023-01-11 14:50:10 +01005006 for (i = 0; i <= bits / 8 / sizeof(mbedtls_mpi_uint); i++) {
5007 N->p[i] = ~(mbedtls_mpi_uint) 0 - N->p[i];
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005008 }
Gilles Peskineff6a32d2021-04-03 20:21:43 +02005009 /* Add 1, taking care of the carry. */
5010 i = 0;
Gilles Peskine449bd832023-01-11 14:50:10 +01005011 do {
Gilles Peskineff6a32d2021-04-03 20:21:43 +02005012 ++N->p[i];
Gilles Peskine449bd832023-01-11 14:50:10 +01005013 } while (N->p[i++] == 0 && i <= bits / 8 / sizeof(mbedtls_mpi_uint));
Gilles Peskineff6a32d2021-04-03 20:21:43 +02005014 /* Invert the sign.
5015 * Now N = N0 - 2^bits where N0 is the initial value of N. */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005016 N->s = -1;
5017
Gilles Peskine349b3722021-04-03 21:40:11 +02005018 /* Add |c| * 2^bits to the absolute value. Since c and N are
Gilles Peskine449bd832023-01-11 14:50:10 +01005019 * negative, this adds c * 2^bits. */
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005020 mbedtls_mpi_uint msw = (mbedtls_mpi_uint) -c;
5021#if defined(MBEDTLS_HAVE_INT64)
Gilles Peskine449bd832023-01-11 14:50:10 +01005022 if (bits == 224) {
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005023 msw <<= 32;
Gilles Peskine449bd832023-01-11 14:50:10 +01005024 }
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005025#endif
Gilles Peskine449bd832023-01-11 14:50:10 +01005026 N->p[bits / 8 / sizeof(mbedtls_mpi_uint)] += msw;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005027}
5028
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005029#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005030/*
5031 * Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
5032 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005033static int ecp_mod_p224(mbedtls_mpi *N)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005034{
Gilles Peskine449bd832023-01-11 14:50:10 +01005035 INIT(224);
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005036
Gilles Peskine449bd832023-01-11 14:50:10 +01005037 SUB(7); SUB(11); NEXT; // A0 += -A7 - A11
5038 SUB(8); SUB(12); NEXT; // A1 += -A8 - A12
5039 SUB(9); SUB(13); NEXT; // A2 += -A9 - A13
5040 SUB(10); ADD(7); ADD(11); NEXT; // A3 += -A10 + A7 + A11
5041 SUB(11); ADD(8); ADD(12); NEXT; // A4 += -A11 + A8 + A12
5042 SUB(12); ADD(9); ADD(13); NEXT; // A5 += -A12 + A9 + A13
5043 SUB(13); ADD(10); LAST; // A6 += -A13 + A10
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005044
5045cleanup:
Gilles Peskine449bd832023-01-11 14:50:10 +01005046 return ret;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005047}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005048#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005049
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005050#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005051/*
5052 * Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
5053 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005054static int ecp_mod_p256(mbedtls_mpi *N)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005055{
Gilles Peskine449bd832023-01-11 14:50:10 +01005056 INIT(256);
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005057
Gilles Peskine449bd832023-01-11 14:50:10 +01005058 ADD(8); ADD(9);
5059 SUB(11); SUB(12); SUB(13); SUB(14); NEXT; // A0
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005060
Gilles Peskine449bd832023-01-11 14:50:10 +01005061 ADD(9); ADD(10);
5062 SUB(12); SUB(13); SUB(14); SUB(15); NEXT; // A1
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005063
Gilles Peskine449bd832023-01-11 14:50:10 +01005064 ADD(10); ADD(11);
5065 SUB(13); SUB(14); SUB(15); NEXT; // A2
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005066
Gilles Peskine449bd832023-01-11 14:50:10 +01005067 ADD(11); ADD(11); ADD(12); ADD(12); ADD(13);
5068 SUB(15); SUB(8); SUB(9); NEXT; // A3
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005069
Gilles Peskine449bd832023-01-11 14:50:10 +01005070 ADD(12); ADD(12); ADD(13); ADD(13); ADD(14);
5071 SUB(9); SUB(10); NEXT; // A4
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005072
Gilles Peskine449bd832023-01-11 14:50:10 +01005073 ADD(13); ADD(13); ADD(14); ADD(14); ADD(15);
5074 SUB(10); SUB(11); NEXT; // A5
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005075
Gilles Peskine449bd832023-01-11 14:50:10 +01005076 ADD(14); ADD(14); ADD(15); ADD(15); ADD(14); ADD(13);
5077 SUB(8); SUB(9); NEXT; // A6
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005078
Gilles Peskine449bd832023-01-11 14:50:10 +01005079 ADD(15); ADD(15); ADD(15); ADD(8);
5080 SUB(10); SUB(11); SUB(12); SUB(13); LAST; // A7
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005081
5082cleanup:
Gilles Peskine449bd832023-01-11 14:50:10 +01005083 return ret;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005084}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005085#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005086
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005087#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005088/*
5089 * Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
5090 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005091static int ecp_mod_p384(mbedtls_mpi *N)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005092{
Gilles Peskine449bd832023-01-11 14:50:10 +01005093 INIT(384);
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005094
Gilles Peskine449bd832023-01-11 14:50:10 +01005095 ADD(12); ADD(21); ADD(20);
5096 SUB(23); NEXT; // A0
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005097
Gilles Peskine449bd832023-01-11 14:50:10 +01005098 ADD(13); ADD(22); ADD(23);
5099 SUB(12); SUB(20); NEXT; // A2
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005100
Gilles Peskine449bd832023-01-11 14:50:10 +01005101 ADD(14); ADD(23);
5102 SUB(13); SUB(21); NEXT; // A2
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005103
Gilles Peskine449bd832023-01-11 14:50:10 +01005104 ADD(15); ADD(12); ADD(20); ADD(21);
5105 SUB(14); SUB(22); SUB(23); NEXT; // A3
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005106
Gilles Peskine449bd832023-01-11 14:50:10 +01005107 ADD(21); ADD(21); ADD(16); ADD(13); ADD(12); ADD(20); ADD(22);
5108 SUB(15); SUB(23); SUB(23); NEXT; // A4
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005109
Gilles Peskine449bd832023-01-11 14:50:10 +01005110 ADD(22); ADD(22); ADD(17); ADD(14); ADD(13); ADD(21); ADD(23);
5111 SUB(16); NEXT; // A5
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005112
Gilles Peskine449bd832023-01-11 14:50:10 +01005113 ADD(23); ADD(23); ADD(18); ADD(15); ADD(14); ADD(22);
5114 SUB(17); NEXT; // A6
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005115
Gilles Peskine449bd832023-01-11 14:50:10 +01005116 ADD(19); ADD(16); ADD(15); ADD(23);
5117 SUB(18); NEXT; // A7
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005118
Gilles Peskine449bd832023-01-11 14:50:10 +01005119 ADD(20); ADD(17); ADD(16);
5120 SUB(19); NEXT; // A8
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005121
Gilles Peskine449bd832023-01-11 14:50:10 +01005122 ADD(21); ADD(18); ADD(17);
5123 SUB(20); NEXT; // A9
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005124
Gilles Peskine449bd832023-01-11 14:50:10 +01005125 ADD(22); ADD(19); ADD(18);
5126 SUB(21); NEXT; // A10
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005127
Gilles Peskine449bd832023-01-11 14:50:10 +01005128 ADD(23); ADD(20); ADD(19);
5129 SUB(22); LAST; // A11
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005130
5131cleanup:
Gilles Peskine449bd832023-01-11 14:50:10 +01005132 return ret;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005133}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005134#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005135
5136#undef A
5137#undef LOAD32
5138#undef STORE32
5139#undef MAX32
5140#undef INIT
5141#undef NEXT
5142#undef LAST
5143
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005144#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED ||
5145 MBEDTLS_ECP_DP_SECP256R1_ENABLED ||
5146 MBEDTLS_ECP_DP_SECP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005147
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005148#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005149/*
5150 * Here we have an actual Mersenne prime, so things are more straightforward.
5151 * However, chunks are aligned on a 'weird' boundary (521 bits).
5152 */
5153
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005154/* Size of p521 in terms of mbedtls_mpi_uint */
Gilles Peskine449bd832023-01-11 14:50:10 +01005155#define P521_WIDTH (521 / 8 / sizeof(mbedtls_mpi_uint) + 1)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005156
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005157/* Bits to keep in the most significant mbedtls_mpi_uint */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005158#define P521_MASK 0x01FF
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005159
5160/*
5161 * Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
5162 * Write N as A1 + 2^521 A0, return A0 + A1
5163 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005164static int ecp_mod_p521(mbedtls_mpi *N)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005165{
Janos Follath24eed8d2019-11-22 13:21:35 +00005166 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005167 size_t i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005168 mbedtls_mpi M;
5169 mbedtls_mpi_uint Mp[P521_WIDTH + 1];
5170 /* Worst case for the size of M is when mbedtls_mpi_uint is 16 bits:
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005171 * we need to hold bits 513 to 1056, which is 34 limbs, that is
5172 * P521_WIDTH + 1. Otherwise P521_WIDTH is enough. */
5173
Gilles Peskine449bd832023-01-11 14:50:10 +01005174 if (N->n < P521_WIDTH) {
5175 return 0;
5176 }
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005177
5178 /* M = A1 */
5179 M.s = 1;
Gilles Peskine449bd832023-01-11 14:50:10 +01005180 M.n = N->n - (P521_WIDTH - 1);
5181 if (M.n > P521_WIDTH + 1) {
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005182 M.n = P521_WIDTH + 1;
Gilles Peskine449bd832023-01-11 14:50:10 +01005183 }
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005184 M.p = Mp;
Gilles Peskine449bd832023-01-11 14:50:10 +01005185 memcpy(Mp, N->p + P521_WIDTH - 1, M.n * sizeof(mbedtls_mpi_uint));
5186 MBEDTLS_MPI_CHK(mbedtls_mpi_shift_r(&M, 521 % (8 * sizeof(mbedtls_mpi_uint))));
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005187
5188 /* N = A0 */
5189 N->p[P521_WIDTH - 1] &= P521_MASK;
Gilles Peskine449bd832023-01-11 14:50:10 +01005190 for (i = P521_WIDTH; i < N->n; i++) {
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005191 N->p[i] = 0;
Gilles Peskine449bd832023-01-11 14:50:10 +01005192 }
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005193
5194 /* N = A0 + A1 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005195 MBEDTLS_MPI_CHK(mbedtls_mpi_add_abs(N, N, &M));
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005196
5197cleanup:
Gilles Peskine449bd832023-01-11 14:50:10 +01005198 return ret;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005199}
5200
5201#undef P521_WIDTH
5202#undef P521_MASK
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005203#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005204
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005205#endif /* MBEDTLS_ECP_NIST_OPTIM */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005206
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02005207#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005208
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005209/* Size of p255 in terms of mbedtls_mpi_uint */
Gilles Peskine449bd832023-01-11 14:50:10 +01005210#define P255_WIDTH (255 / 8 / sizeof(mbedtls_mpi_uint) + 1)
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005211
5212/*
5213 * Fast quasi-reduction modulo p255 = 2^255 - 19
Hanno Becker25bb7322022-04-11 07:03:48 +01005214 * Write N as A0 + 2^256 A1, return A0 + 38 * A1
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005215 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005216static int ecp_mod_p255(mbedtls_mpi *N)
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005217{
Hanno Becker25bb7322022-04-11 07:03:48 +01005218 mbedtls_mpi_uint Mp[P255_WIDTH];
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005219
Hanno Becker25bb7322022-04-11 07:03:48 +01005220 /* Helper references for top part of N */
5221 mbedtls_mpi_uint * const NT_p = N->p + P255_WIDTH;
Hanno Becker53b3c602022-04-11 13:46:30 +01005222 const size_t NT_n = N->n - P255_WIDTH;
Gilles Peskine449bd832023-01-11 14:50:10 +01005223 if (N->n <= P255_WIDTH) {
5224 return 0;
5225 }
5226 if (NT_n > P255_WIDTH) {
5227 return MBEDTLS_ERR_ECP_BAD_INPUT_DATA;
5228 }
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005229
Hanno Becker25bb7322022-04-11 07:03:48 +01005230 /* Split N as N + 2^256 M */
Gilles Peskine449bd832023-01-11 14:50:10 +01005231 memcpy(Mp, NT_p, sizeof(mbedtls_mpi_uint) * NT_n);
5232 memset(NT_p, 0, sizeof(mbedtls_mpi_uint) * NT_n);
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005233
Hanno Becker25bb7322022-04-11 07:03:48 +01005234 /* N = A0 + 38 * A1 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005235 mbedtls_mpi_core_mla(N->p, P255_WIDTH + 1,
5236 Mp, NT_n,
5237 38);
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005238
Gilles Peskine449bd832023-01-11 14:50:10 +01005239 return 0;
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005240}
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02005241#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005242
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005243#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
5244
5245/* Size of p448 in terms of mbedtls_mpi_uint */
Gilles Peskine449bd832023-01-11 14:50:10 +01005246#define P448_WIDTH (448 / 8 / sizeof(mbedtls_mpi_uint))
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005247
5248/* Number of limbs fully occupied by 2^224 (max), and limbs used by it (min) */
Gilles Peskine449bd832023-01-11 14:50:10 +01005249#define DIV_ROUND_UP(X, Y) (((X) + (Y) -1) / (Y))
5250#define P224_WIDTH_MIN (28 / sizeof(mbedtls_mpi_uint))
5251#define P224_WIDTH_MAX DIV_ROUND_UP(28, sizeof(mbedtls_mpi_uint))
5252#define P224_UNUSED_BITS ((P224_WIDTH_MAX * sizeof(mbedtls_mpi_uint) * 8) - 224)
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005253
5254/*
5255 * Fast quasi-reduction modulo p448 = 2^448 - 2^224 - 1
5256 * Write N as A0 + 2^448 A1 and A1 as B0 + 2^224 B1, and return
5257 * A0 + A1 + B1 + (B0 + B1) * 2^224. This is different to the reference
5258 * implementation of Curve448, which uses its own special 56-bit limbs rather
5259 * than a generic bignum library. We could squeeze some extra speed out on
5260 * 32-bit machines by splitting N up into 32-bit limbs and doing the
5261 * arithmetic using the limbs directly as we do for the NIST primes above,
5262 * but for 64-bit targets it should use half the number of operations if we do
5263 * the reduction with 224-bit limbs, since mpi_add_mpi will then use 64-bit adds.
5264 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005265static int ecp_mod_p448(mbedtls_mpi *N)
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005266{
Janos Follath24eed8d2019-11-22 13:21:35 +00005267 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005268 size_t i;
5269 mbedtls_mpi M, Q;
5270 mbedtls_mpi_uint Mp[P448_WIDTH + 1], Qp[P448_WIDTH];
5271
Gilles Peskine449bd832023-01-11 14:50:10 +01005272 if (N->n <= P448_WIDTH) {
5273 return 0;
5274 }
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005275
5276 /* M = A1 */
5277 M.s = 1;
Gilles Peskine449bd832023-01-11 14:50:10 +01005278 M.n = N->n - (P448_WIDTH);
5279 if (M.n > P448_WIDTH) {
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005280 /* Shouldn't be called with N larger than 2^896! */
Gilles Peskine449bd832023-01-11 14:50:10 +01005281 return MBEDTLS_ERR_ECP_BAD_INPUT_DATA;
5282 }
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005283 M.p = Mp;
Gilles Peskine449bd832023-01-11 14:50:10 +01005284 memset(Mp, 0, sizeof(Mp));
5285 memcpy(Mp, N->p + P448_WIDTH, M.n * sizeof(mbedtls_mpi_uint));
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005286
5287 /* N = A0 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005288 for (i = P448_WIDTH; i < N->n; i++) {
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005289 N->p[i] = 0;
Gilles Peskine449bd832023-01-11 14:50:10 +01005290 }
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005291
5292 /* N += A1 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005293 MBEDTLS_MPI_CHK(mbedtls_mpi_add_mpi(N, N, &M));
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005294
5295 /* Q = B1, N += B1 */
5296 Q = M;
5297 Q.p = Qp;
Gilles Peskine449bd832023-01-11 14:50:10 +01005298 memcpy(Qp, Mp, sizeof(Qp));
5299 MBEDTLS_MPI_CHK(mbedtls_mpi_shift_r(&Q, 224));
5300 MBEDTLS_MPI_CHK(mbedtls_mpi_add_mpi(N, N, &Q));
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005301
5302 /* M = (B0 + B1) * 2^224, N += M */
Gilles Peskine449bd832023-01-11 14:50:10 +01005303 if (sizeof(mbedtls_mpi_uint) > 4) {
5304 Mp[P224_WIDTH_MIN] &= ((mbedtls_mpi_uint)-1) >> (P224_UNUSED_BITS);
5305 }
5306 for (i = P224_WIDTH_MAX; i < M.n; ++i) {
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005307 Mp[i] = 0;
Gilles Peskine449bd832023-01-11 14:50:10 +01005308 }
5309 MBEDTLS_MPI_CHK(mbedtls_mpi_add_mpi(&M, &M, &Q));
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005310 M.n = P448_WIDTH + 1; /* Make room for shifted carry bit from the addition */
Gilles Peskine449bd832023-01-11 14:50:10 +01005311 MBEDTLS_MPI_CHK(mbedtls_mpi_shift_l(&M, 224));
5312 MBEDTLS_MPI_CHK(mbedtls_mpi_add_mpi(N, N, &M));
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005313
5314cleanup:
Gilles Peskine449bd832023-01-11 14:50:10 +01005315 return ret;
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005316}
5317#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
5318
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005319#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
5320 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
5321 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005322/*
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005323 * Fast quasi-reduction modulo P = 2^s - R,
5324 * with R about 33 bits, used by the Koblitz curves.
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005325 *
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005326 * Write N as A0 + 2^224 A1, return A0 + R * A1.
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005327 * Actually do two passes, since R is big.
5328 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005329#define P_KOBLITZ_MAX (256 / 8 / sizeof(mbedtls_mpi_uint)) // Max limbs in P
5330#define P_KOBLITZ_R (8 / sizeof(mbedtls_mpi_uint)) // Limbs in R
5331static inline int ecp_mod_koblitz(mbedtls_mpi *N, mbedtls_mpi_uint *Rp, size_t p_limbs,
5332 size_t adjust, size_t shift, mbedtls_mpi_uint mask)
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005333{
Janos Follath24eed8d2019-11-22 13:21:35 +00005334 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005335 size_t i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005336 mbedtls_mpi M, R;
Janos Follath7dadc2f2017-01-27 16:05:20 +00005337 mbedtls_mpi_uint Mp[P_KOBLITZ_MAX + P_KOBLITZ_R + 1];
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005338
Gilles Peskine449bd832023-01-11 14:50:10 +01005339 if (N->n < p_limbs) {
5340 return 0;
5341 }
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005342
5343 /* Init R */
5344 R.s = 1;
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005345 R.p = Rp;
5346 R.n = P_KOBLITZ_R;
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005347
5348 /* Common setup for M */
5349 M.s = 1;
5350 M.p = Mp;
5351
5352 /* M = A1 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005353 M.n = N->n - (p_limbs - adjust);
5354 if (M.n > p_limbs + adjust) {
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005355 M.n = p_limbs + adjust;
Gilles Peskine449bd832023-01-11 14:50:10 +01005356 }
5357 memset(Mp, 0, sizeof Mp);
5358 memcpy(Mp, N->p + p_limbs - adjust, M.n * sizeof(mbedtls_mpi_uint));
5359 if (shift != 0) {
5360 MBEDTLS_MPI_CHK(mbedtls_mpi_shift_r(&M, shift));
5361 }
Janos Follath7dadc2f2017-01-27 16:05:20 +00005362 M.n += R.n; /* Make room for multiplication by R */
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005363
5364 /* N = A0 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005365 if (mask != 0) {
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005366 N->p[p_limbs - 1] &= mask;
Gilles Peskine449bd832023-01-11 14:50:10 +01005367 }
5368 for (i = p_limbs; i < N->n; i++) {
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005369 N->p[i] = 0;
Gilles Peskine449bd832023-01-11 14:50:10 +01005370 }
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005371
5372 /* N = A0 + R * A1 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005373 MBEDTLS_MPI_CHK(mbedtls_mpi_mul_mpi(&M, &M, &R));
5374 MBEDTLS_MPI_CHK(mbedtls_mpi_add_abs(N, N, &M));
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005375
5376 /* Second pass */
5377
5378 /* M = A1 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005379 M.n = N->n - (p_limbs - adjust);
5380 if (M.n > p_limbs + adjust) {
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005381 M.n = p_limbs + adjust;
Gilles Peskine449bd832023-01-11 14:50:10 +01005382 }
5383 memset(Mp, 0, sizeof Mp);
5384 memcpy(Mp, N->p + p_limbs - adjust, M.n * sizeof(mbedtls_mpi_uint));
5385 if (shift != 0) {
5386 MBEDTLS_MPI_CHK(mbedtls_mpi_shift_r(&M, shift));
5387 }
Janos Follath7dadc2f2017-01-27 16:05:20 +00005388 M.n += R.n; /* Make room for multiplication by R */
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005389
5390 /* N = A0 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005391 if (mask != 0) {
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005392 N->p[p_limbs - 1] &= mask;
Gilles Peskine449bd832023-01-11 14:50:10 +01005393 }
5394 for (i = p_limbs; i < N->n; i++) {
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005395 N->p[i] = 0;
Gilles Peskine449bd832023-01-11 14:50:10 +01005396 }
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005397
5398 /* N = A0 + R * A1 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005399 MBEDTLS_MPI_CHK(mbedtls_mpi_mul_mpi(&M, &M, &R));
5400 MBEDTLS_MPI_CHK(mbedtls_mpi_add_abs(N, N, &M));
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005401
5402cleanup:
Gilles Peskine449bd832023-01-11 14:50:10 +01005403 return ret;
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005404}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005405#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED) ||
5406 MBEDTLS_ECP_DP_SECP224K1_ENABLED) ||
5407 MBEDTLS_ECP_DP_SECP256K1_ENABLED) */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005408
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005409#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005410/*
5411 * Fast quasi-reduction modulo p192k1 = 2^192 - R,
5412 * with R = 2^32 + 2^12 + 2^8 + 2^7 + 2^6 + 2^3 + 1 = 0x0100001119
5413 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005414static int ecp_mod_p192k1(mbedtls_mpi *N)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005415{
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005416 static mbedtls_mpi_uint Rp[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01005417 MBEDTLS_BYTES_TO_T_UINT_8(0xC9, 0x11, 0x00, 0x00, 0x01, 0x00, 0x00,
5418 0x00)
5419 };
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005420
Gilles Peskine449bd832023-01-11 14:50:10 +01005421 return ecp_mod_koblitz(N, Rp, 192 / 8 / sizeof(mbedtls_mpi_uint), 0, 0,
5422 0);
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005423}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005424#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005425
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005426#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005427/*
5428 * Fast quasi-reduction modulo p224k1 = 2^224 - R,
5429 * with R = 2^32 + 2^12 + 2^11 + 2^9 + 2^7 + 2^4 + 2 + 1 = 0x0100001A93
5430 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005431static int ecp_mod_p224k1(mbedtls_mpi *N)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005432{
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005433 static mbedtls_mpi_uint Rp[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01005434 MBEDTLS_BYTES_TO_T_UINT_8(0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00,
5435 0x00)
5436 };
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005437
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005438#if defined(MBEDTLS_HAVE_INT64)
Gilles Peskine449bd832023-01-11 14:50:10 +01005439 return ecp_mod_koblitz(N, Rp, 4, 1, 32, 0xFFFFFFFF);
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005440#else
Gilles Peskine449bd832023-01-11 14:50:10 +01005441 return ecp_mod_koblitz(N, Rp, 224 / 8 / sizeof(mbedtls_mpi_uint), 0, 0,
5442 0);
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005443#endif
5444}
5445
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005446#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005447
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005448#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005449/*
5450 * Fast quasi-reduction modulo p256k1 = 2^256 - R,
5451 * with R = 2^32 + 2^9 + 2^8 + 2^7 + 2^6 + 2^4 + 1 = 0x01000003D1
5452 */
Gilles Peskine449bd832023-01-11 14:50:10 +01005453static int ecp_mod_p256k1(mbedtls_mpi *N)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005454{
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005455 static mbedtls_mpi_uint Rp[] = {
Gilles Peskine449bd832023-01-11 14:50:10 +01005456 MBEDTLS_BYTES_TO_T_UINT_8(0xD1, 0x03, 0x00, 0x00, 0x01, 0x00, 0x00,
5457 0x00)
5458 };
5459 return ecp_mod_koblitz(N, Rp, 256 / 8 / sizeof(mbedtls_mpi_uint), 0, 0,
5460 0);
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005461}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005462#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005463
Janos Follathb0697532016-08-18 12:38:46 +01005464#endif /* !MBEDTLS_ECP_ALT */
5465
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005466#endif /* MBEDTLS_ECP_C */