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Paul Bakker5121ce52009-01-03 21:22:43 +00001/**
2 * \file dhm.h
Paul Bakkere0ccd0a2009-01-04 16:27:10 +00003 *
Darryl Green11999bb2018-03-13 15:22:58 +00004 * \brief This file contains Diffie-Hellman-Merkle (DHM) key exchange
Rose Zadikee963592018-04-18 09:46:12 +01005 * definitions and functions.
Rose Zadikf763f2b2018-04-17 11:00:40 +01006 *
7 * Diffie-Hellman-Merkle (DHM) key exchange is defined in
Darryl Green11999bb2018-03-13 15:22:58 +00008 * <em>RFC-2631: Diffie-Hellman Key Agreement Method</em> and
9 * <em>Public-Key Cryptography Standards (PKCS) #3: Diffie
Rose Zadikf763f2b2018-04-17 11:00:40 +010010 * Hellman Key Agreement Standard</em>.
Rose Zadik41ad0822018-01-26 10:54:57 +000011 *
12 * <em>RFC-3526: More Modular Exponential (MODP) Diffie-Hellman groups for
13 * Internet Key Exchange (IKE)</em> defines a number of standardized
14 * Diffie-Hellman groups for IKE.
15 *
16 * <em>RFC-5114: Additional Diffie-Hellman Groups for Use with IETF
17 * Standards</em> defines a number of standardized Diffie-Hellman
18 * groups that can be used.
Paul Bakker37ca75d2011-01-06 12:28:03 +000019 *
Jaeden Amero784de592018-01-26 17:52:01 +000020 * \warning The security of the DHM key exchange relies on the proper choice
21 * of prime modulus - optimally, it should be a safe prime. The usage
22 * of non-safe primes both decreases the difficulty of the underlying
23 * discrete logarithm problem and can lead to small subgroup attacks
24 * leaking private exponent bits when invalid public keys are used
25 * and not detected. This is especially relevant if the same DHM
26 * parameters are reused for multiple key exchanges as in static DHM,
27 * while the criticality of small-subgroup attacks is lower for
28 * ephemeral DHM.
29 *
30 * \warning For performance reasons, the code does neither perform primality
31 * nor safe primality tests, nor the expensive checks for invalid
32 * subgroups. Moreover, even if these were performed, non-standardized
33 * primes cannot be trusted because of the possibility of backdoors
34 * that can't be effectively checked for.
35 *
36 * \warning Diffie-Hellman-Merkle is therefore a security risk when not using
37 * standardized primes generated using a trustworthy ("nothing up
38 * my sleeve") method, such as the RFC 3526 / 7919 primes. In the TLS
39 * protocol, DH parameters need to be negotiated, so using the default
40 * primes systematically is not always an option. If possible, use
41 * Elliptic Curve Diffie-Hellman (ECDH), which has better performance,
42 * and for which the TLS protocol mandates the use of standard
43 * parameters.
44 *
Darryl Greena40a1012018-01-05 15:33:17 +000045 */
46/*
Bence Szépkúti1e148272020-08-07 13:07:28 +020047 * Copyright The Mbed TLS Contributors
Manuel Pégourié-Gonnard37ff1402015-09-04 14:21:07 +020048 * SPDX-License-Identifier: Apache-2.0
49 *
50 * Licensed under the Apache License, Version 2.0 (the "License"); you may
51 * not use this file except in compliance with the License.
52 * You may obtain a copy of the License at
53 *
54 * http://www.apache.org/licenses/LICENSE-2.0
55 *
56 * Unless required by applicable law or agreed to in writing, software
57 * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
58 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
59 * See the License for the specific language governing permissions and
60 * limitations under the License.
Paul Bakker5121ce52009-01-03 21:22:43 +000061 */
Rose Zadik41ad0822018-01-26 10:54:57 +000062
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020063#ifndef MBEDTLS_DHM_H
64#define MBEDTLS_DHM_H
Mateusz Starzyk846f0212021-05-19 19:44:07 +020065#include "mbedtls/private_access.h"
Paul Bakker5121ce52009-01-03 21:22:43 +000066
Reuven Levin1f35ca92017-12-07 10:09:32 +000067#if !defined(MBEDTLS_CONFIG_FILE)
Jaeden Ameroc49fbbf2019-07-04 20:01:14 +010068#include "mbedtls/config.h"
Reuven Levin1f35ca92017-12-07 10:09:32 +000069#else
70#include MBEDTLS_CONFIG_FILE
71#endif
Jaeden Ameroc49fbbf2019-07-04 20:01:14 +010072#include "mbedtls/bignum.h"
Reuven Levin1f35ca92017-12-07 10:09:32 +000073
Paul Bakkerf3b86c12011-01-27 15:24:17 +000074/*
75 * DHM Error codes
76 */
Rose Zadik41ad0822018-01-26 10:54:57 +000077#define MBEDTLS_ERR_DHM_BAD_INPUT_DATA -0x3080 /**< Bad input parameters. */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020078#define MBEDTLS_ERR_DHM_READ_PARAMS_FAILED -0x3100 /**< Reading of the DHM parameters failed. */
79#define MBEDTLS_ERR_DHM_MAKE_PARAMS_FAILED -0x3180 /**< Making of the DHM parameters failed. */
80#define MBEDTLS_ERR_DHM_READ_PUBLIC_FAILED -0x3200 /**< Reading of the public values failed. */
81#define MBEDTLS_ERR_DHM_MAKE_PUBLIC_FAILED -0x3280 /**< Making of the public value failed. */
82#define MBEDTLS_ERR_DHM_CALC_SECRET_FAILED -0x3300 /**< Calculation of the DHM secret failed. */
83#define MBEDTLS_ERR_DHM_INVALID_FORMAT -0x3380 /**< The ASN.1 data is not formatted correctly. */
Manuel Pégourié-Gonnard6a8ca332015-05-28 09:33:39 +020084#define MBEDTLS_ERR_DHM_ALLOC_FAILED -0x3400 /**< Allocation of memory failed. */
Rose Zadik41ad0822018-01-26 10:54:57 +000085#define MBEDTLS_ERR_DHM_FILE_IO_ERROR -0x3480 /**< Read or write of file failed. */
Jaeden Amero2acbf172018-01-26 20:57:38 +000086#define MBEDTLS_ERR_DHM_SET_GROUP_FAILED -0x3580 /**< Setting the modulus and generator failed. */
Paul Bakker29b64762012-09-25 09:36:44 +000087
Gilles Peskine71acc6e2021-05-27 22:50:53 +020088/** Which parameter to access in mbedtls_dhm_get_value(). */
89typedef enum
90{
91 MBEDTLS_DHM_PARAM_P, /*!< The prime modulus. */
92 MBEDTLS_DHM_PARAM_G, /*!< The generator. */
93 MBEDTLS_DHM_PARAM_X, /*!< Our secret value. */
94 MBEDTLS_DHM_PARAM_GX, /*!< Our public key = \c G^X mod \c P. */
95 MBEDTLS_DHM_PARAM_GY, /*!< The public key of the peer = \c G^Y mod \c P. */
96 MBEDTLS_DHM_PARAM_K, /*!< The shared secret = \c G^(XY) mod \c P. */
97} mbedtls_dhm_parameter;
98
Paul Bakker407a0da2013-06-27 14:29:21 +020099#ifdef __cplusplus
100extern "C" {
101#endif
102
Ron Eldor4e6d55d2018-02-07 16:36:15 +0200103#if !defined(MBEDTLS_DHM_ALT)
104
Paul Bakker29b64762012-09-25 09:36:44 +0000105/**
Rose Zadik41ad0822018-01-26 10:54:57 +0000106 * \brief The DHM context structure.
Paul Bakkerf3b86c12011-01-27 15:24:17 +0000107 */
Dawid Drozd428cc522018-07-24 10:02:47 +0200108typedef struct mbedtls_dhm_context
Paul Bakker5121ce52009-01-03 21:22:43 +0000109{
Mateusz Starzyk846f0212021-05-19 19:44:07 +0200110 mbedtls_mpi MBEDTLS_PRIVATE(P); /*!< The prime modulus. */
111 mbedtls_mpi MBEDTLS_PRIVATE(G); /*!< The generator. */
112 mbedtls_mpi MBEDTLS_PRIVATE(X); /*!< Our secret value. */
113 mbedtls_mpi MBEDTLS_PRIVATE(GX); /*!< Our public key = \c G^X mod \c P. */
114 mbedtls_mpi MBEDTLS_PRIVATE(GY); /*!< The public key of the peer = \c G^Y mod \c P. */
115 mbedtls_mpi MBEDTLS_PRIVATE(K); /*!< The shared secret = \c G^(XY) mod \c P. */
116 mbedtls_mpi MBEDTLS_PRIVATE(RP); /*!< The cached value = \c R^2 mod \c P. */
117 mbedtls_mpi MBEDTLS_PRIVATE(Vi); /*!< The blinding value. */
118 mbedtls_mpi MBEDTLS_PRIVATE(Vf); /*!< The unblinding value. */
119 mbedtls_mpi MBEDTLS_PRIVATE(pX); /*!< The previous \c X. */
Paul Bakker5121ce52009-01-03 21:22:43 +0000120}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200121mbedtls_dhm_context;
Paul Bakker5121ce52009-01-03 21:22:43 +0000122
Ron Eldor4e6d55d2018-02-07 16:36:15 +0200123#else /* MBEDTLS_DHM_ALT */
124#include "dhm_alt.h"
125#endif /* MBEDTLS_DHM_ALT */
126
Paul Bakker5121ce52009-01-03 21:22:43 +0000127/**
Rose Zadik41ad0822018-01-26 10:54:57 +0000128 * \brief This function initializes the DHM context.
Paul Bakker8f870b02014-06-20 13:32:38 +0200129 *
Rose Zadik41ad0822018-01-26 10:54:57 +0000130 * \param ctx The DHM context to initialize.
Paul Bakker8f870b02014-06-20 13:32:38 +0200131 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200132void mbedtls_dhm_init( mbedtls_dhm_context *ctx );
Paul Bakker8f870b02014-06-20 13:32:38 +0200133
134/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500135 * \brief This function parses the DHM parameters in a
136 * TLS ServerKeyExchange handshake message
137 * (DHM modulus, generator, and public key).
Paul Bakker5121ce52009-01-03 21:22:43 +0000138 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500139 * \note In a TLS handshake, this is the how the client
140 * sets up its DHM context from the server's public
141 * DHM key material.
142 *
143 * \param ctx The DHM context to use. This must be initialized.
Hanno Beckerf240ea02017-10-02 15:09:14 +0100144 * \param p On input, *p must be the start of the input buffer.
145 * On output, *p is updated to point to the end of the data
146 * that has been read. On success, this is the first byte
147 * past the end of the ServerKeyExchange parameters.
148 * On error, this is the point at which an error has been
149 * detected, which is usually not useful except to debug
150 * failures.
Rose Zadik41ad0822018-01-26 10:54:57 +0000151 * \param end The end of the input buffer.
Paul Bakker5121ce52009-01-03 21:22:43 +0000152 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100153 * \return \c 0 on success.
154 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000155 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200156int mbedtls_dhm_read_params( mbedtls_dhm_context *ctx,
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500157 unsigned char **p,
158 const unsigned char *end );
Paul Bakker5121ce52009-01-03 21:22:43 +0000159
160/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500161 * \brief This function generates a DHM key pair and exports its
162 * public part together with the DHM parameters in the format
163 * used in a TLS ServerKeyExchange handshake message.
Paul Bakker5121ce52009-01-03 21:22:43 +0000164 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500165 * \note This function assumes that the DHM parameters \c ctx->P
166 * and \c ctx->G have already been properly set. For that, use
Jaeden Amero9564e972018-01-30 16:56:13 +0000167 * mbedtls_dhm_set_group() below in conjunction with
168 * mbedtls_mpi_read_binary() and mbedtls_mpi_read_string().
Paul Bakker5121ce52009-01-03 21:22:43 +0000169 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500170 * \note In a TLS handshake, this is the how the server generates
171 * and exports its DHM key material.
172 *
173 * \param ctx The DHM context to use. This must be initialized
174 * and have the DHM parameters set. It may or may not
175 * already have imported the peer's public key.
Rose Zadikf763f2b2018-04-17 11:00:40 +0100176 * \param x_size The private key size in Bytes.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500177 * \param olen The address at which to store the number of Bytes
178 * written on success. This must not be \c NULL.
179 * \param output The destination buffer. This must be a writable buffer of
180 * sufficient size to hold the reduced binary presentation of
181 * the modulus, the generator and the public key, each wrapped
182 * with a 2-byte length field. It is the responsibility of the
183 * caller to ensure that enough space is available. Refer to
184 * mbedtls_mpi_size() to computing the byte-size of an MPI.
185 * \param f_rng The RNG function. Must not be \c NULL.
186 * \param p_rng The RNG context to be passed to \p f_rng. This may be
187 * \c NULL if \p f_rng doesn't need a context parameter.
Rose Zadikf763f2b2018-04-17 11:00:40 +0100188 *
189 * \return \c 0 on success.
190 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000191 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200192int mbedtls_dhm_make_params( mbedtls_dhm_context *ctx, int x_size,
Paul Bakker23986e52011-04-24 08:57:21 +0000193 unsigned char *output, size_t *olen,
Paul Bakkera3d195c2011-11-27 21:07:34 +0000194 int (*f_rng)(void *, unsigned char *, size_t),
195 void *p_rng );
Paul Bakker5121ce52009-01-03 21:22:43 +0000196
197/**
Rose Zadikf763f2b2018-04-17 11:00:40 +0100198 * \brief This function sets the prime modulus and generator.
199 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500200 * \note This function can be used to set \c ctx->P, \c ctx->G
Rose Zadikf763f2b2018-04-17 11:00:40 +0100201 * in preparation for mbedtls_dhm_make_params().
Hanno Becker8880e752017-10-04 13:15:08 +0100202 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500203 * \param ctx The DHM context to configure. This must be initialized.
204 * \param P The MPI holding the DHM prime modulus. This must be
205 * an initialized MPI.
206 * \param G The MPI holding the DHM generator. This must be an
207 * initialized MPI.
Hanno Becker8880e752017-10-04 13:15:08 +0100208 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100209 * \return \c 0 if successful.
210 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Hanno Becker8880e752017-10-04 13:15:08 +0100211 */
212int mbedtls_dhm_set_group( mbedtls_dhm_context *ctx,
213 const mbedtls_mpi *P,
214 const mbedtls_mpi *G );
215
216/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500217 * \brief This function imports the raw public value of the peer.
Paul Bakker5121ce52009-01-03 21:22:43 +0000218 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500219 * \note In a TLS handshake, this is the how the server imports
220 * the Client's public DHM key.
221 *
222 * \param ctx The DHM context to use. This must be initialized and have
223 * its DHM parameters set, e.g. via mbedtls_dhm_set_group().
224 * It may or may not already have generated its own private key.
225 * \param input The input buffer containing the \c G^Y value of the peer.
226 * This must be a readable buffer of size \p ilen Bytes.
227 * \param ilen The size of the input buffer \p input in Bytes.
Paul Bakker5121ce52009-01-03 21:22:43 +0000228 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100229 * \return \c 0 on success.
230 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000231 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200232int mbedtls_dhm_read_public( mbedtls_dhm_context *ctx,
Paul Bakker23986e52011-04-24 08:57:21 +0000233 const unsigned char *input, size_t ilen );
Paul Bakker5121ce52009-01-03 21:22:43 +0000234
235/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500236 * \brief This function creates a DHM key pair and exports
237 * the raw public key in big-endian format.
Paul Bakker5121ce52009-01-03 21:22:43 +0000238 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100239 * \note The destination buffer is always fully written
240 * so as to contain a big-endian representation of G^X mod P.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500241 * If it is larger than \c ctx->len, it is padded accordingly
Rose Zadikf763f2b2018-04-17 11:00:40 +0100242 * with zero-bytes at the beginning.
243 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500244 * \param ctx The DHM context to use. This must be initialized and
245 * have the DHM parameters set. It may or may not already
246 * have imported the peer's public key.
Rose Zadikf763f2b2018-04-17 11:00:40 +0100247 * \param x_size The private key size in Bytes.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500248 * \param output The destination buffer. This must be a writable buffer of
249 * size \p olen Bytes.
250 * \param olen The length of the destination buffer. This must be at least
251 * equal to `ctx->len` (the size of \c P).
252 * \param f_rng The RNG function. This must not be \c NULL.
253 * \param p_rng The RNG context to be passed to \p f_rng. This may be \c NULL
254 * if \p f_rng doesn't need a context argument.
Paul Bakker5121ce52009-01-03 21:22:43 +0000255 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100256 * \return \c 0 on success.
257 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000258 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200259int mbedtls_dhm_make_public( mbedtls_dhm_context *ctx, int x_size,
Paul Bakker23986e52011-04-24 08:57:21 +0000260 unsigned char *output, size_t olen,
Paul Bakkera3d195c2011-11-27 21:07:34 +0000261 int (*f_rng)(void *, unsigned char *, size_t),
262 void *p_rng );
Paul Bakker5121ce52009-01-03 21:22:43 +0000263
264/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500265 * \brief This function derives and exports the shared secret
266 * \c (G^Y)^X mod \c P.
Paul Bakker5121ce52009-01-03 21:22:43 +0000267 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500268 * \note If \p f_rng is not \c NULL, it is used to blind the input as
269 * a countermeasure against timing attacks. Blinding is used
270 * only if our private key \c X is re-used, and not used
271 * otherwise. We recommend always passing a non-NULL
272 * \p f_rng argument.
Rose Zadikf763f2b2018-04-17 11:00:40 +0100273 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500274 * \param ctx The DHM context to use. This must be initialized
275 * and have its own private key generated and the peer's
276 * public key imported.
277 * \param output The buffer to write the generated shared key to. This
278 * must be a writable buffer of size \p output_size Bytes.
279 * \param output_size The size of the destination buffer. This must be at
280 * least the size of \c ctx->len (the size of \c P).
Rose Zadik41ad0822018-01-26 10:54:57 +0000281 * \param olen On exit, holds the actual number of Bytes written.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500282 * \param f_rng The RNG function, for blinding purposes. This may
283 * b \c NULL if blinding isn't needed.
284 * \param p_rng The RNG context. This may be \c NULL if \p f_rng
285 * doesn't need a context argument.
Paul Bakker5121ce52009-01-03 21:22:43 +0000286 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100287 * \return \c 0 on success.
288 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000289 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200290int mbedtls_dhm_calc_secret( mbedtls_dhm_context *ctx,
Manuel Pégourié-Gonnard33352052015-06-02 16:17:08 +0100291 unsigned char *output, size_t output_size, size_t *olen,
Manuel Pégourié-Gonnard2d627642013-09-04 14:22:07 +0200292 int (*f_rng)(void *, unsigned char *, size_t),
293 void *p_rng );
Paul Bakker5121ce52009-01-03 21:22:43 +0000294
Paul Bakker9a736322012-11-14 12:39:52 +0000295/**
Gilles Peskine487bbf62021-05-27 22:17:07 +0200296 * \brief This function returns the size of the prime modulus in bits.
297 *
298 * \param ctx The DHM context to query.
299 *
300 * \return The size of the prime modulus in bits,
301 * i.e. the number n such that 2^(n-1) <= P < 2^n.
302 */
303size_t mbedtls_dhm_get_bitlen( const mbedtls_dhm_context *ctx );
304
305/**
306 * \brief This function returns the size of the prime modulus in bytes.
307 *
308 * \param ctx The DHM context to query.
309 *
310 * \return The size of the prime modulus in bytes,
311 * i.e. the number n such that 2^(8*(n-1)) <= P < 2^(8*n).
312 */
313size_t mbedtls_dhm_get_len( const mbedtls_dhm_context *ctx );
314
315/**
Gilles Peskine71acc6e2021-05-27 22:50:53 +0200316 * \brief This function copies a parameter of a DHM key.
317 *
318 * \param dest The MPI object to copy the value into. It must be
319 * initialized.
320 * \param ctx The DHM context to query.
321 * \param param The parameter to copy.
322 *
323 * \return \c 0 on success.
324 * \return #MBEDTLS_ERR_DHM_BAD_INPUT_DATA if \p field is invalid.
325 * \return An \c MBEDTLS_ERR_MPI_XXX error code if the copy fails.
326 */
327int mbedtls_dhm_get_value( mbedtls_mpi *dest,
328 const mbedtls_dhm_context *ctx,
329 mbedtls_dhm_parameter param );
330
331/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500332 * \brief This function frees and clears the components
333 * of a DHM context.
Paul Bakker8f870b02014-06-20 13:32:38 +0200334 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500335 * \param ctx The DHM context to free and clear. This may be \c NULL,
336 * in which case this function is a no-op. If it is not \c NULL,
337 * it must point to an initialized DHM context.
Paul Bakker5121ce52009-01-03 21:22:43 +0000338 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200339void mbedtls_dhm_free( mbedtls_dhm_context *ctx );
Paul Bakker5121ce52009-01-03 21:22:43 +0000340
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200341#if defined(MBEDTLS_ASN1_PARSE_C)
Paul Bakker40ce79f2013-09-15 17:43:54 +0200342/**
Rose Zadik41ad0822018-01-26 10:54:57 +0000343 * \brief This function parses DHM parameters in PEM or DER format.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200344 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500345 * \param dhm The DHM context to import the DHM parameters into.
346 * This must be initialized.
347 * \param dhmin The input buffer. This must be a readable buffer of
348 * length \p dhminlen Bytes.
349 * \param dhminlen The size of the input buffer \p dhmin, including the
350 * terminating \c NULL Byte for PEM data.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200351 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100352 * \return \c 0 on success.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500353 * \return An \c MBEDTLS_ERR_DHM_XXX or \c MBEDTLS_ERR_PEM_XXX error
354 * code on failure.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200355 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200356int mbedtls_dhm_parse_dhm( mbedtls_dhm_context *dhm, const unsigned char *dhmin,
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500357 size_t dhminlen );
Paul Bakker40ce79f2013-09-15 17:43:54 +0200358
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200359#if defined(MBEDTLS_FS_IO)
Paul Bakker40ce79f2013-09-15 17:43:54 +0200360/**
Rose Zadik41ad0822018-01-26 10:54:57 +0000361 * \brief This function loads and parses DHM parameters from a file.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200362 *
Rose Zadik41ad0822018-01-26 10:54:57 +0000363 * \param dhm The DHM context to load the parameters to.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500364 * This must be initialized.
Rose Zadik41ad0822018-01-26 10:54:57 +0000365 * \param path The filename to read the DHM parameters from.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500366 * This must not be \c NULL.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200367 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100368 * \return \c 0 on success.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500369 * \return An \c MBEDTLS_ERR_DHM_XXX or \c MBEDTLS_ERR_PEM_XXX
370 * error code on failure.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200371 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200372int mbedtls_dhm_parse_dhmfile( mbedtls_dhm_context *dhm, const char *path );
373#endif /* MBEDTLS_FS_IO */
374#endif /* MBEDTLS_ASN1_PARSE_C */
nirekh01d569ecf2018-01-09 16:43:21 +0000375
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500376#if defined(MBEDTLS_SELF_TEST)
377
Paul Bakker5121ce52009-01-03 21:22:43 +0000378/**
Rose Zadik41ad0822018-01-26 10:54:57 +0000379 * \brief The DMH checkup routine.
Paul Bakker5121ce52009-01-03 21:22:43 +0000380 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100381 * \return \c 0 on success.
382 * \return \c 1 on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000383 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200384int mbedtls_dhm_self_test( int verbose );
Paul Bakker5121ce52009-01-03 21:22:43 +0000385
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500386#endif /* MBEDTLS_SELF_TEST */
Paul Bakker5121ce52009-01-03 21:22:43 +0000387#ifdef __cplusplus
388}
389#endif
390
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100391/**
Gilles Peskined40f0072020-02-26 19:52:04 +0100392 * RFC 3526, RFC 5114 and RFC 7919 standardize a number of
393 * Diffie-Hellman groups, some of which are included here
394 * for use within the SSL/TLS module and the user's convenience
395 * when configuring the Diffie-Hellman parameters by hand
396 * through \c mbedtls_ssl_conf_dh_param.
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100397 *
Jaeden Amero9564e972018-01-30 16:56:13 +0000398 * The following lists the source of the above groups in the standards:
399 * - RFC 5114 section 2.2: 2048-bit MODP Group with 224-bit Prime Order Subgroup
400 * - RFC 3526 section 3: 2048-bit MODP Group
401 * - RFC 3526 section 4: 3072-bit MODP Group
402 * - RFC 3526 section 5: 4096-bit MODP Group
403 * - RFC 7919 section A.1: ffdhe2048
404 * - RFC 7919 section A.2: ffdhe3072
405 * - RFC 7919 section A.3: ffdhe4096
406 * - RFC 7919 section A.4: ffdhe6144
407 * - RFC 7919 section A.5: ffdhe8192
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100408 *
409 * The constants with suffix "_p" denote the chosen prime moduli, while
410 * the constants with suffix "_g" denote the chosen generator
411 * of the associated prime field.
412 *
413 * The constants further suffixed with "_bin" are provided in binary format,
414 * while all other constants represent null-terminated strings holding the
415 * hexadecimal presentation of the respective numbers.
416 *
417 * The primes from RFC 3526 and RFC 7919 have been generating by the following
418 * trust-worthy procedure:
419 * - Fix N in { 2048, 3072, 4096, 6144, 8192 } and consider the N-bit number
420 * the first and last 64 bits are all 1, and the remaining N - 128 bits of
421 * which are 0x7ff...ff.
422 * - Add the smallest multiple of the first N - 129 bits of the binary expansion
423 * of pi (for RFC 5236) or e (for RFC 7919) to this intermediate bit-string
424 * such that the resulting integer is a safe-prime.
425 * - The result is the respective RFC 3526 / 7919 prime, and the corresponding
426 * generator is always chosen to be 2 (which is a square for these prime,
427 * hence the corresponding subgroup has order (p-1)/2 and avoids leaking a
428 * bit in the private exponent).
429 *
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100430 */
431
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100432/*
433 * Trustworthy DHM parameters in binary form
434 */
435
436#define MBEDTLS_DHM_RFC3526_MODP_2048_P_BIN { \
437 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
438 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34, \
439 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, \
440 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, \
441 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22, \
442 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, \
443 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, \
444 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37, \
445 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, \
446 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, \
447 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B, \
448 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, \
449 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, \
450 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6, \
451 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, \
452 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, \
453 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A, \
454 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, \
455 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, \
456 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB, \
457 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, \
458 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, \
459 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C, \
460 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, \
461 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, \
462 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F, \
463 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, \
464 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, \
465 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5, \
466 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, \
467 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68, \
468 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
469
470#define MBEDTLS_DHM_RFC3526_MODP_2048_G_BIN { 0x02 }
471
472#define MBEDTLS_DHM_RFC3526_MODP_3072_P_BIN { \
473 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
474 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34, \
475 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, \
476 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, \
477 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22, \
478 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, \
479 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, \
480 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37, \
481 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, \
482 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, \
483 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B, \
484 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, \
485 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, \
486 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6, \
487 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, \
488 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, \
489 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A, \
490 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, \
491 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, \
492 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB, \
493 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, \
494 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, \
495 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C, \
496 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, \
497 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, \
498 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F, \
499 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, \
500 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, \
501 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5, \
502 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, \
503 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, \
504 0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33, \
505 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, \
506 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, \
507 0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D, \
508 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, \
509 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, \
510 0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D, \
511 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, \
512 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, \
513 0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64, \
514 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, \
515 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, \
516 0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2, \
517 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, \
518 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, \
519 0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x3A, 0xD2, 0xCA, \
520 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
521
522#define MBEDTLS_DHM_RFC3526_MODP_3072_G_BIN { 0x02 }
523
524#define MBEDTLS_DHM_RFC3526_MODP_4096_P_BIN { \
525 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
526 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34, \
527 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, \
528 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, \
529 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22, \
530 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, \
531 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, \
532 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37, \
533 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, \
534 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, \
535 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B, \
536 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, \
537 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, \
538 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6, \
539 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, \
540 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, \
541 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A, \
542 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, \
543 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, \
544 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB, \
545 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, \
546 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, \
547 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C, \
548 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, \
549 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, \
550 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F, \
551 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, \
552 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, \
553 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5, \
554 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, \
555 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, \
556 0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33, \
557 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, \
558 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, \
559 0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D, \
560 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, \
561 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, \
562 0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D, \
563 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, \
564 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, \
565 0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64, \
566 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, \
567 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, \
568 0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2, \
569 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, \
570 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, \
571 0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01, \
572 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, \
573 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, \
574 0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C, \
575 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, \
576 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, \
577 0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9, \
578 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, \
579 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, \
580 0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2, \
581 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, \
582 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, \
583 0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C, \
584 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, \
585 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, \
586 0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F, \
587 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99, \
588 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
589
590#define MBEDTLS_DHM_RFC3526_MODP_4096_G_BIN { 0x02 }
591
592#define MBEDTLS_DHM_RFC7919_FFDHE2048_P_BIN { \
593 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
594 0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
595 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
596 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
597 0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
598 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
599 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
600 0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
601 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
602 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
603 0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
604 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
605 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
606 0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
607 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
608 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
609 0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
610 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
611 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
612 0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
613 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
614 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
615 0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
616 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
617 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
618 0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
619 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
620 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
621 0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
622 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
623 0x88, 0x6B, 0x42, 0x38, 0x61, 0x28, 0x5C, 0x97, \
624 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, }
625
626#define MBEDTLS_DHM_RFC7919_FFDHE2048_G_BIN { 0x02 }
627
628#define MBEDTLS_DHM_RFC7919_FFDHE3072_P_BIN { \
629 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
630 0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
631 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
632 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
633 0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
634 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
635 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
636 0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
637 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
638 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
639 0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
640 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
641 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
642 0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
643 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
644 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
645 0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
646 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
647 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
648 0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
649 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
650 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
651 0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
652 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
653 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
654 0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
655 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
656 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
657 0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
658 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
659 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
660 0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
661 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
662 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
663 0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
664 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
665 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
666 0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
667 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
668 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
669 0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
670 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
671 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
672 0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
673 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
674 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
675 0x25, 0xE4, 0x1D, 0x2B, 0x66, 0xC6, 0x2E, 0x37, \
676 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
677
678#define MBEDTLS_DHM_RFC7919_FFDHE3072_G_BIN { 0x02 }
679
680#define MBEDTLS_DHM_RFC7919_FFDHE4096_P_BIN { \
681 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
682 0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
683 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
684 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
685 0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
686 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
687 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
688 0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
689 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
690 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
691 0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
692 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
693 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
694 0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
695 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
696 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
697 0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
698 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
699 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
700 0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
701 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
702 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
703 0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
704 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
705 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
706 0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
707 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
708 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
709 0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
710 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
711 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
712 0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
713 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
714 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
715 0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
716 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
717 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
718 0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
719 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
720 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
721 0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
722 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
723 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
724 0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
725 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
726 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
727 0x25, 0xE4, 0x1D, 0x2B, 0x66, 0x9E, 0x1E, 0xF1, \
728 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, \
729 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, \
730 0xAC, 0x7D, 0x5F, 0x42, 0xD6, 0x9F, 0x6D, 0x18, \
731 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, \
732 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, \
733 0x71, 0x35, 0xC8, 0x86, 0xEF, 0xB4, 0x31, 0x8A, \
734 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, \
735 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, \
736 0x6D, 0xC7, 0x78, 0xF9, 0x71, 0xAD, 0x00, 0x38, \
737 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, \
738 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, \
739 0x2A, 0x4E, 0xCE, 0xA9, 0xF9, 0x8D, 0x0A, 0xCC, \
740 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, \
741 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, \
742 0x4D, 0xB5, 0xA8, 0x51, 0xF4, 0x41, 0x82, 0xE1, \
743 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x65, 0x5F, 0x6A, \
744 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
745
746#define MBEDTLS_DHM_RFC7919_FFDHE4096_G_BIN { 0x02 }
747
748#define MBEDTLS_DHM_RFC7919_FFDHE6144_P_BIN { \
749 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
750 0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
751 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
752 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
753 0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
754 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
755 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
756 0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
757 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
758 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
759 0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
760 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
761 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
762 0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
763 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
764 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
765 0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
766 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
767 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
768 0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
769 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
770 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
771 0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
772 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
773 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
774 0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
775 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
776 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
777 0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
778 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
779 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
780 0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
781 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
782 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
783 0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
784 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
785 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
786 0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
787 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
788 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
789 0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
790 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
791 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
792 0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
793 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
794 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
795 0x25, 0xE4, 0x1D, 0x2B, 0x66, 0x9E, 0x1E, 0xF1, \
796 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, \
797 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, \
798 0xAC, 0x7D, 0x5F, 0x42, 0xD6, 0x9F, 0x6D, 0x18, \
799 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, \
800 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, \
801 0x71, 0x35, 0xC8, 0x86, 0xEF, 0xB4, 0x31, 0x8A, \
802 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, \
803 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, \
804 0x6D, 0xC7, 0x78, 0xF9, 0x71, 0xAD, 0x00, 0x38, \
805 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, \
806 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, \
807 0x2A, 0x4E, 0xCE, 0xA9, 0xF9, 0x8D, 0x0A, 0xCC, \
808 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, \
809 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, \
810 0x4D, 0xB5, 0xA8, 0x51, 0xF4, 0x41, 0x82, 0xE1, \
811 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, \
812 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, \
813 0x4E, 0x67, 0x7D, 0x2C, 0x38, 0x53, 0x2A, 0x3A, \
814 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, \
815 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, \
816 0x91, 0x7B, 0xDD, 0x64, 0xB1, 0xC0, 0xFD, 0x4C, \
817 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, \
818 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, \
819 0x9B, 0x1F, 0x5C, 0x3E, 0x4E, 0x46, 0x04, 0x1F, \
820 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, \
821 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, \
822 0xB8, 0x55, 0x32, 0x2E, 0xDB, 0x63, 0x40, 0xD8, \
823 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, \
824 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, \
825 0x7F, 0xB2, 0x9F, 0x8C, 0x18, 0x30, 0x23, 0xC3, \
826 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, \
827 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, \
828 0x94, 0xC6, 0x65, 0x1E, 0x77, 0xCA, 0xF9, 0x92, \
829 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, \
830 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, \
831 0x0A, 0xE8, 0xDB, 0x58, 0x47, 0xA6, 0x7C, 0xBE, \
832 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, \
833 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, \
834 0x62, 0x29, 0x2C, 0x31, 0x15, 0x62, 0xA8, 0x46, \
835 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, \
836 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, \
837 0x8C, 0xCF, 0x2D, 0xD5, 0xCA, 0xCE, 0xF4, 0x03, \
838 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, \
839 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, \
840 0x3F, 0xDD, 0x4A, 0x8E, 0x9A, 0xDB, 0x1E, 0x69, \
841 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, \
842 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, \
843 0xA4, 0x0E, 0x32, 0x9C, 0xD0, 0xE4, 0x0E, 0x65, \
844 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
845
846#define MBEDTLS_DHM_RFC7919_FFDHE6144_G_BIN { 0x02 }
847
848#define MBEDTLS_DHM_RFC7919_FFDHE8192_P_BIN { \
849 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
850 0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
851 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
852 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
853 0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
854 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
855 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
856 0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
857 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
858 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
859 0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
860 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
861 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
862 0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
863 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
864 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
865 0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
866 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
867 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
868 0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
869 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
870 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
871 0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
872 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
873 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
874 0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
875 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
876 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
877 0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
878 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
879 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
880 0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
881 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
882 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
883 0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
884 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
885 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
886 0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
887 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
888 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
889 0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
890 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
891 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
892 0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
893 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
894 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
895 0x25, 0xE4, 0x1D, 0x2B, 0x66, 0x9E, 0x1E, 0xF1, \
896 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, \
897 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, \
898 0xAC, 0x7D, 0x5F, 0x42, 0xD6, 0x9F, 0x6D, 0x18, \
899 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, \
900 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, \
901 0x71, 0x35, 0xC8, 0x86, 0xEF, 0xB4, 0x31, 0x8A, \
902 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, \
903 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, \
904 0x6D, 0xC7, 0x78, 0xF9, 0x71, 0xAD, 0x00, 0x38, \
905 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, \
906 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, \
907 0x2A, 0x4E, 0xCE, 0xA9, 0xF9, 0x8D, 0x0A, 0xCC, \
908 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, \
909 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, \
910 0x4D, 0xB5, 0xA8, 0x51, 0xF4, 0x41, 0x82, 0xE1, \
911 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, \
912 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, \
913 0x4E, 0x67, 0x7D, 0x2C, 0x38, 0x53, 0x2A, 0x3A, \
914 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, \
915 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, \
916 0x91, 0x7B, 0xDD, 0x64, 0xB1, 0xC0, 0xFD, 0x4C, \
917 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, \
918 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, \
919 0x9B, 0x1F, 0x5C, 0x3E, 0x4E, 0x46, 0x04, 0x1F, \
920 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, \
921 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, \
922 0xB8, 0x55, 0x32, 0x2E, 0xDB, 0x63, 0x40, 0xD8, \
923 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, \
924 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, \
925 0x7F, 0xB2, 0x9F, 0x8C, 0x18, 0x30, 0x23, 0xC3, \
926 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, \
927 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, \
928 0x94, 0xC6, 0x65, 0x1E, 0x77, 0xCA, 0xF9, 0x92, \
929 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, \
930 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, \
931 0x0A, 0xE8, 0xDB, 0x58, 0x47, 0xA6, 0x7C, 0xBE, \
932 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, \
933 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, \
934 0x62, 0x29, 0x2C, 0x31, 0x15, 0x62, 0xA8, 0x46, \
935 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, \
936 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, \
937 0x8C, 0xCF, 0x2D, 0xD5, 0xCA, 0xCE, 0xF4, 0x03, \
938 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, \
939 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, \
940 0x3F, 0xDD, 0x4A, 0x8E, 0x9A, 0xDB, 0x1E, 0x69, \
941 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, \
942 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, \
943 0xA4, 0x0E, 0x32, 0x9C, 0xCF, 0xF4, 0x6A, 0xAA, \
944 0x36, 0xAD, 0x00, 0x4C, 0xF6, 0x00, 0xC8, 0x38, \
945 0x1E, 0x42, 0x5A, 0x31, 0xD9, 0x51, 0xAE, 0x64, \
946 0xFD, 0xB2, 0x3F, 0xCE, 0xC9, 0x50, 0x9D, 0x43, \
947 0x68, 0x7F, 0xEB, 0x69, 0xED, 0xD1, 0xCC, 0x5E, \
948 0x0B, 0x8C, 0xC3, 0xBD, 0xF6, 0x4B, 0x10, 0xEF, \
949 0x86, 0xB6, 0x31, 0x42, 0xA3, 0xAB, 0x88, 0x29, \
950 0x55, 0x5B, 0x2F, 0x74, 0x7C, 0x93, 0x26, 0x65, \
951 0xCB, 0x2C, 0x0F, 0x1C, 0xC0, 0x1B, 0xD7, 0x02, \
952 0x29, 0x38, 0x88, 0x39, 0xD2, 0xAF, 0x05, 0xE4, \
953 0x54, 0x50, 0x4A, 0xC7, 0x8B, 0x75, 0x82, 0x82, \
954 0x28, 0x46, 0xC0, 0xBA, 0x35, 0xC3, 0x5F, 0x5C, \
955 0x59, 0x16, 0x0C, 0xC0, 0x46, 0xFD, 0x82, 0x51, \
956 0x54, 0x1F, 0xC6, 0x8C, 0x9C, 0x86, 0xB0, 0x22, \
957 0xBB, 0x70, 0x99, 0x87, 0x6A, 0x46, 0x0E, 0x74, \
958 0x51, 0xA8, 0xA9, 0x31, 0x09, 0x70, 0x3F, 0xEE, \
959 0x1C, 0x21, 0x7E, 0x6C, 0x38, 0x26, 0xE5, 0x2C, \
960 0x51, 0xAA, 0x69, 0x1E, 0x0E, 0x42, 0x3C, 0xFC, \
961 0x99, 0xE9, 0xE3, 0x16, 0x50, 0xC1, 0x21, 0x7B, \
962 0x62, 0x48, 0x16, 0xCD, 0xAD, 0x9A, 0x95, 0xF9, \
963 0xD5, 0xB8, 0x01, 0x94, 0x88, 0xD9, 0xC0, 0xA0, \
964 0xA1, 0xFE, 0x30, 0x75, 0xA5, 0x77, 0xE2, 0x31, \
965 0x83, 0xF8, 0x1D, 0x4A, 0x3F, 0x2F, 0xA4, 0x57, \
966 0x1E, 0xFC, 0x8C, 0xE0, 0xBA, 0x8A, 0x4F, 0xE8, \
967 0xB6, 0x85, 0x5D, 0xFE, 0x72, 0xB0, 0xA6, 0x6E, \
968 0xDE, 0xD2, 0xFB, 0xAB, 0xFB, 0xE5, 0x8A, 0x30, \
969 0xFA, 0xFA, 0xBE, 0x1C, 0x5D, 0x71, 0xA8, 0x7E, \
970 0x2F, 0x74, 0x1E, 0xF8, 0xC1, 0xFE, 0x86, 0xFE, \
971 0xA6, 0xBB, 0xFD, 0xE5, 0x30, 0x67, 0x7F, 0x0D, \
972 0x97, 0xD1, 0x1D, 0x49, 0xF7, 0xA8, 0x44, 0x3D, \
973 0x08, 0x22, 0xE5, 0x06, 0xA9, 0xF4, 0x61, 0x4E, \
974 0x01, 0x1E, 0x2A, 0x94, 0x83, 0x8F, 0xF8, 0x8C, \
975 0xD6, 0x8C, 0x8B, 0xB7, 0xC5, 0xC6, 0x42, 0x4C, \
976 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
977
978#define MBEDTLS_DHM_RFC7919_FFDHE8192_G_BIN { 0x02 }
979
Paul Bakker9af723c2014-05-01 13:03:14 +0200980#endif /* dhm.h */