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Carles Cufi37d052f2018-01-30 16:40:10 +01001# Copyright 2018 Nordic Semiconductor ASA
David Vinczeb2a1a482020-09-18 11:54:30 +02002# Copyright 2017-2020 Linaro Limited
Rustam Ismayilov36f8bf32023-11-27 21:44:54 +01003# Copyright 2019-2024 Arm Limited
David Brown1314bf32017-12-20 11:10:55 -07004#
David Brown79c4fcf2021-01-26 15:04:05 -07005# SPDX-License-Identifier: Apache-2.0
6#
David Brown1314bf32017-12-20 11:10:55 -07007# Licensed under the Apache License, Version 2.0 (the "License");
8# you may 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,
15# WITHOUT 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.
18
David Brown23f91ad2017-05-16 11:38:17 -060019"""
20Image signing and management.
21"""
22
David Brown23f91ad2017-05-16 11:38:17 -060023import hashlib
Carles Cufi37d052f2018-01-30 16:40:10 +010024import os.path
Rustam Ismayilov36f8bf32023-11-27 21:44:54 +010025import struct
26from enum import Enum
27
28import click
29from cryptography.exceptions import InvalidSignature
30from cryptography.hazmat.backends import default_backend
31from cryptography.hazmat.primitives import hashes, hmac
Fabio Utzig7a3b2602019-10-22 09:56:44 -030032from cryptography.hazmat.primitives.asymmetric import ec, padding
Fabio Utzig960b4c52020-04-02 13:07:12 -030033from cryptography.hazmat.primitives.asymmetric.x25519 import X25519PrivateKey
Fabio Utzig06b77b82018-08-23 16:01:16 -030034from cryptography.hazmat.primitives.ciphers import Cipher, algorithms, modes
Fabio Utzig7a3b2602019-10-22 09:56:44 -030035from cryptography.hazmat.primitives.kdf.hkdf import HKDF
36from cryptography.hazmat.primitives.serialization import Encoding, PublicFormat
Rustam Ismayilov36f8bf32023-11-27 21:44:54 +010037from intelhex import IntelHex
38
39from . import version as versmod, keys
40from .boot_record import create_sw_component_data
41from .keys import rsa, ecdsa, x25519
David Brown23f91ad2017-05-16 11:38:17 -060042
David Brown72e7a512017-09-01 11:08:23 -060043IMAGE_MAGIC = 0x96f3b83d
David Brown23f91ad2017-05-16 11:38:17 -060044IMAGE_HEADER_SIZE = 32
Carles Cufi37d052f2018-01-30 16:40:10 +010045BIN_EXT = "bin"
46INTEL_HEX_EXT = "hex"
Fabio Utzig519285f2018-06-04 11:11:53 -030047DEFAULT_MAX_SECTORS = 128
Kristine Jassmann73c38c62021-02-03 16:56:14 +000048DEFAULT_MAX_ALIGN = 8
David Vinczeda8c9192019-03-26 17:17:41 +010049DEP_IMAGES_KEY = "images"
50DEP_VERSIONS_KEY = "versions"
David Vincze71b8f982020-03-17 19:08:12 +010051MAX_SW_TYPE_LENGTH = 12 # Bytes
David Brown23f91ad2017-05-16 11:38:17 -060052
53# Image header flags.
54IMAGE_F = {
55 'PIC': 0x0000001,
Salome Thirot0f641972021-05-14 11:19:55 +010056 'ENCRYPTED_AES128': 0x0000004,
57 'ENCRYPTED_AES256': 0x0000008,
Fabio Utzig06b77b82018-08-23 16:01:16 -030058 'NON_BOOTABLE': 0x0000010,
David Vincze1e0c5442020-04-07 14:12:33 +020059 'RAM_LOAD': 0x0000020,
Dominik Ermel50820b12020-12-14 13:16:46 +000060 'ROM_FIXED': 0x0000100,
Fabio Utzig06b77b82018-08-23 16:01:16 -030061}
David Brown23f91ad2017-05-16 11:38:17 -060062
63TLV_VALUES = {
David Brown43cda332017-09-01 09:53:23 -060064 'KEYHASH': 0x01,
David Vinczedde178d2020-03-26 20:06:01 +010065 'PUBKEY': 0x02,
David Brown27648b82017-08-31 10:40:29 -060066 'SHA256': 0x10,
Roland Mikhel57041742023-02-03 14:43:13 +010067 'SHA384': 0x11,
David Brown27648b82017-08-31 10:40:29 -060068 'RSA2048': 0x20,
David Vincze4395b802023-04-27 16:11:49 +020069 'ECDSASIG': 0x22,
Fabio Utzig19fd79a2019-05-08 18:20:39 -030070 'RSA3072': 0x23,
Fabio Utzig8101d1f2019-05-09 15:03:22 -030071 'ED25519': 0x24,
Fabio Utzig06b77b82018-08-23 16:01:16 -030072 'ENCRSA2048': 0x30,
Salome Thirot0f641972021-05-14 11:19:55 +010073 'ENCKW': 0x31,
Fabio Utzig7a3b2602019-10-22 09:56:44 -030074 'ENCEC256': 0x32,
Fabio Utzig960b4c52020-04-02 13:07:12 -030075 'ENCX25519': 0x33,
David Vincze1a7a6902020-02-18 15:05:16 +010076 'DEPENDENCY': 0x40,
77 'SEC_CNT': 0x50,
David Vincze71b8f982020-03-17 19:08:12 +010078 'BOOT_RECORD': 0x60,
Fabio Utzig06b77b82018-08-23 16:01:16 -030079}
David Brown23f91ad2017-05-16 11:38:17 -060080
Fabio Utzig4a5477a2019-05-27 15:45:08 -030081TLV_SIZE = 4
David Brownf5b33d82017-09-01 10:58:27 -060082TLV_INFO_SIZE = 4
83TLV_INFO_MAGIC = 0x6907
Fabio Utzig510fddb2019-09-12 12:15:36 -030084TLV_PROT_INFO_MAGIC = 0x6908
David Brown23f91ad2017-05-16 11:38:17 -060085
Piotr Dymacze026c362023-02-24 12:09:33 +010086TLV_VENDOR_RES_MIN = 0x00a0
87TLV_VENDOR_RES_MAX = 0xfffe
88
Mark Schultea66c6872018-09-26 17:24:40 -070089STRUCT_ENDIAN_DICT = {
90 'little': '<',
91 'big': '>'
92}
93
Fabio Utzig4a5477a2019-05-27 15:45:08 -030094VerifyResult = Enum('VerifyResult',
Rustam Ismayilov36f8bf32023-11-27 21:44:54 +010095 ['OK', 'INVALID_MAGIC', 'INVALID_TLV_INFO_MAGIC', 'INVALID_HASH', 'INVALID_SIGNATURE',
96 'KEY_MISMATCH'])
Fabio Utzig4a5477a2019-05-27 15:45:08 -030097
Roland Mikhel57041742023-02-03 14:43:13 +010098
Gustavo Henrique Niheicf120ba2021-11-22 18:44:11 -030099def align_up(num, align):
100 assert (align & (align - 1) == 0) and align != 0
101 return (num + (align - 1)) & ~(align - 1)
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300102
Roland Mikhel57041742023-02-03 14:43:13 +0100103
David Brown23f91ad2017-05-16 11:38:17 -0600104class TLV():
Fabio Utzig510fddb2019-09-12 12:15:36 -0300105 def __init__(self, endian, magic=TLV_INFO_MAGIC):
106 self.magic = magic
David Brown23f91ad2017-05-16 11:38:17 -0600107 self.buf = bytearray()
Mark Schultea66c6872018-09-26 17:24:40 -0700108 self.endian = endian
David Brown23f91ad2017-05-16 11:38:17 -0600109
Fabio Utzig510fddb2019-09-12 12:15:36 -0300110 def __len__(self):
111 return TLV_INFO_SIZE + len(self.buf)
112
David Brown23f91ad2017-05-16 11:38:17 -0600113 def add(self, kind, payload):
Fabio Utzig510fddb2019-09-12 12:15:36 -0300114 """
115 Add a TLV record. Kind should be a string found in TLV_VALUES above.
116 """
Mark Schultea66c6872018-09-26 17:24:40 -0700117 e = STRUCT_ENDIAN_DICT[self.endian]
Ihor Slabkyy24d93732020-03-10 15:33:57 +0200118 if isinstance(kind, int):
Piotr Dymacze026c362023-02-24 12:09:33 +0100119 if not TLV_VENDOR_RES_MIN <= kind <= TLV_VENDOR_RES_MAX:
120 msg = "Invalid custom TLV type value '0x{:04x}', allowed " \
121 "value should be between 0x{:04x} and 0x{:04x}".format(
Roland Mikhel57041742023-02-03 14:43:13 +0100122 kind, TLV_VENDOR_RES_MIN, TLV_VENDOR_RES_MAX)
Piotr Dymacze026c362023-02-24 12:09:33 +0100123 raise click.UsageError(msg)
124 buf = struct.pack(e + 'HH', kind, len(payload))
Ihor Slabkyy24d93732020-03-10 15:33:57 +0200125 else:
126 buf = struct.pack(e + 'BBH', TLV_VALUES[kind], 0, len(payload))
David Brown23f91ad2017-05-16 11:38:17 -0600127 self.buf += buf
128 self.buf += payload
129
130 def get(self):
Fabio Utzig510fddb2019-09-12 12:15:36 -0300131 if len(self.buf) == 0:
132 return bytes()
Mark Schultea66c6872018-09-26 17:24:40 -0700133 e = STRUCT_ENDIAN_DICT[self.endian]
Fabio Utzig510fddb2019-09-12 12:15:36 -0300134 header = struct.pack(e + 'HH', self.magic, len(self))
David Brownf5b33d82017-09-01 10:58:27 -0600135 return header + bytes(self.buf)
David Brown23f91ad2017-05-16 11:38:17 -0600136
Fabio Utzig7c00acd2019-01-07 09:54:20 -0200137
Rustam Ismayilov36f8bf32023-11-27 21:44:54 +0100138def get_digest(tlv_type, hash_region):
139 if tlv_type == TLV_VALUES["SHA384"]:
140 sha = hashlib.sha384()
141 elif tlv_type == TLV_VALUES["SHA256"]:
142 sha = hashlib.sha256()
143
144 sha.update(hash_region)
145 return sha.digest()
146
147
148def tlv_matches_key_type(tlv_type, key):
149 """Check if provided key matches to TLV record in the image"""
150 return (key is None or
151 type(key) == keys.ECDSA384P1 and tlv_type == TLV_VALUES["SHA384"] or
152 type(key) != keys.ECDSA384P1 and tlv_type == TLV_VALUES["SHA256"])
153
154
155class Image:
Carles Cufi37d052f2018-01-30 16:40:10 +0100156
Fabio Utzig7c00acd2019-01-07 09:54:20 -0200157 def __init__(self, version=None, header_size=IMAGE_HEADER_SIZE,
Henrik Brix Andersen0ce958e2020-03-11 14:04:11 +0100158 pad_header=False, pad=False, confirm=False, align=1,
159 slot_size=0, max_sectors=DEFAULT_MAX_SECTORS,
160 overwrite_only=False, endian="little", load_addr=0,
Dominik Ermel50820b12020-12-14 13:16:46 +0000161 rom_fixed=None, erased_val=None, save_enctlv=False,
Piotr Mienkowskib6d5cf32022-01-31 01:01:11 +0100162 security_counter=None, max_align=None):
Dominik Ermel50820b12020-12-14 13:16:46 +0000163
164 if load_addr and rom_fixed:
165 raise click.UsageError("Can not set rom_fixed and load_addr at the same time")
166
David Brown23f91ad2017-05-16 11:38:17 -0600167 self.version = version or versmod.decode_version("0")
Fabio Utzig7c00acd2019-01-07 09:54:20 -0200168 self.header_size = header_size
169 self.pad_header = pad_header
David Brown23f91ad2017-05-16 11:38:17 -0600170 self.pad = pad
Henrik Brix Andersen0ce958e2020-03-11 14:04:11 +0100171 self.confirm = confirm
Fabio Utzig263d4392018-06-05 10:37:35 -0300172 self.align = align
173 self.slot_size = slot_size
174 self.max_sectors = max_sectors
Fabio Utzigdcf0c9b2018-06-11 12:27:49 -0700175 self.overwrite_only = overwrite_only
Mark Schultea66c6872018-09-26 17:24:40 -0700176 self.endian = endian
Fabio Utzig7c00acd2019-01-07 09:54:20 -0200177 self.base_addr = None
Håkon Øye Amundsendf8c8912019-08-26 12:15:28 +0000178 self.load_addr = 0 if load_addr is None else load_addr
Dominik Ermel50820b12020-12-14 13:16:46 +0000179 self.rom_fixed = rom_fixed
Fabio Utzigcb080732020-02-07 12:01:39 -0300180 self.erased_val = 0xff if erased_val is None else int(erased_val, 0)
Fabio Utzig7c00acd2019-01-07 09:54:20 -0200181 self.payload = []
Fabio Utzig649d80f2019-09-12 10:26:23 -0300182 self.enckey = None
Fabio Utzig9a492d52020-01-15 11:31:52 -0300183 self.save_enctlv = save_enctlv
184 self.enctlv_len = 0
Piotr Mienkowskib6d5cf32022-01-31 01:01:11 +0100185 self.max_align = max(DEFAULT_MAX_ALIGN, align) if max_align is None else int(max_align)
David Brown23f91ad2017-05-16 11:38:17 -0600186
Gustavo Henrique Niheicf120ba2021-11-22 18:44:11 -0300187 if self.max_align == DEFAULT_MAX_ALIGN:
188 self.boot_magic = bytes([
189 0x77, 0xc2, 0x95, 0xf3,
190 0x60, 0xd2, 0xef, 0x7f,
191 0x35, 0x52, 0x50, 0x0f,
192 0x2c, 0xb6, 0x79, 0x80, ])
193 else:
Raphael Dupont16f3de52023-03-16 09:02:11 +0100194 lsb = self.max_align & 0x00ff
195 msb = (self.max_align & 0xff00) >> 8
196 align = bytes([msb, lsb]) if self.endian == "big" else bytes([lsb, msb])
197 self.boot_magic = align + bytes([0x2d, 0xe1,
Rustam Ismayilov36f8bf32023-11-27 21:44:54 +0100198 0x5d, 0x29, 0x41, 0x0b,
199 0x8d, 0x77, 0x67, 0x9c,
200 0x11, 0x0f, 0x1f, 0x8a, ])
Gustavo Henrique Niheicf120ba2021-11-22 18:44:11 -0300201
David Vincze1a7a6902020-02-18 15:05:16 +0100202 if security_counter == 'auto':
203 # Security counter has not been explicitly provided,
204 # generate it from the version number
205 self.security_counter = ((self.version.major << 24)
206 + (self.version.minor << 16)
207 + self.version.revision)
208 else:
209 self.security_counter = security_counter
210
David Brown23f91ad2017-05-16 11:38:17 -0600211 def __repr__(self):
David Vincze1a7a6902020-02-18 15:05:16 +0100212 return "<Image version={}, header_size={}, security_counter={}, \
213 base_addr={}, load_addr={}, align={}, slot_size={}, \
214 max_sectors={}, overwrite_only={}, endian={} format={}, \
215 payloadlen=0x{:x}>".format(
Fabio Utzig263d4392018-06-05 10:37:35 -0300216 self.version,
217 self.header_size,
David Vincze1a7a6902020-02-18 15:05:16 +0100218 self.security_counter,
Fabio Utzig263d4392018-06-05 10:37:35 -0300219 self.base_addr if self.base_addr is not None else "N/A",
Håkon Øye Amundsendf8c8912019-08-26 12:15:28 +0000220 self.load_addr,
Fabio Utzig263d4392018-06-05 10:37:35 -0300221 self.align,
222 self.slot_size,
223 self.max_sectors,
Fabio Utzigdcf0c9b2018-06-11 12:27:49 -0700224 self.overwrite_only,
Mark Schultea66c6872018-09-26 17:24:40 -0700225 self.endian,
Fabio Utzig263d4392018-06-05 10:37:35 -0300226 self.__class__.__name__,
227 len(self.payload))
David Brown23f91ad2017-05-16 11:38:17 -0600228
Fabio Utzig7c00acd2019-01-07 09:54:20 -0200229 def load(self, path):
230 """Load an image from a given file"""
231 ext = os.path.splitext(path)[1][1:].lower()
Fabio Utzig1f508922020-01-15 11:37:51 -0300232 try:
233 if ext == INTEL_HEX_EXT:
234 ih = IntelHex(path)
235 self.payload = ih.tobinarray()
236 self.base_addr = ih.minaddr()
237 else:
238 with open(path, 'rb') as f:
239 self.payload = f.read()
240 except FileNotFoundError:
241 raise click.UsageError("Input file not found")
Fabio Utzig7c00acd2019-01-07 09:54:20 -0200242
243 # Add the image header if needed.
244 if self.pad_header and self.header_size > 0:
245 if self.base_addr:
246 # Adjust base_addr for new header
247 self.base_addr -= self.header_size
Fabio Utzig9117fde2019-10-17 11:11:46 -0300248 self.payload = bytes([self.erased_val] * self.header_size) + \
249 self.payload
Fabio Utzig7c00acd2019-01-07 09:54:20 -0200250
Fabio Utzig9a492d52020-01-15 11:31:52 -0300251 self.check_header()
Fabio Utzig7c00acd2019-01-07 09:54:20 -0200252
Fabio Utzigedbabcf2019-10-11 13:03:37 -0300253 def save(self, path, hex_addr=None):
Fabio Utzig7c00acd2019-01-07 09:54:20 -0200254 """Save an image from a given file"""
Fabio Utzig7c00acd2019-01-07 09:54:20 -0200255 ext = os.path.splitext(path)[1][1:].lower()
256 if ext == INTEL_HEX_EXT:
257 # input was in binary format, but HEX needs to know the base addr
Fabio Utzigedbabcf2019-10-11 13:03:37 -0300258 if self.base_addr is None and hex_addr is None:
Fabio Utzig1f508922020-01-15 11:37:51 -0300259 raise click.UsageError("No address exists in input file "
260 "neither was it provided by user")
Fabio Utzig7c00acd2019-01-07 09:54:20 -0200261 h = IntelHex()
Fabio Utzigedbabcf2019-10-11 13:03:37 -0300262 if hex_addr is not None:
263 self.base_addr = hex_addr
Fabio Utzig7c00acd2019-01-07 09:54:20 -0200264 h.frombytes(bytes=self.payload, offset=self.base_addr)
Fabio Utzigedbabcf2019-10-11 13:03:37 -0300265 if self.pad:
Fabio Utzig2269f472019-10-17 11:14:33 -0300266 trailer_size = self._trailer_size(self.align, self.max_sectors,
267 self.overwrite_only,
Fabio Utzig9a492d52020-01-15 11:31:52 -0300268 self.enckey,
269 self.save_enctlv,
270 self.enctlv_len)
Fabio Utzig2269f472019-10-17 11:14:33 -0300271 trailer_addr = (self.base_addr + self.slot_size) - trailer_size
Kristine Jassmann73c38c62021-02-03 16:56:14 +0000272 if self.confirm and not self.overwrite_only:
Roland Mikhel57041742023-02-03 14:43:13 +0100273 magic_align_size = align_up(len(self.boot_magic),
274 self.max_align)
Kristine Jassmann73c38c62021-02-03 16:56:14 +0000275 image_ok_idx = -(magic_align_size + self.max_align)
Alexander Mihajlovicf4df58f2022-08-17 15:44:53 +0200276 flag = bytearray([self.erased_val] * self.max_align)
Roland Mikhel57041742023-02-03 14:43:13 +0100277 flag[0] = 0x01 # image_ok = 0x01
278 h.puts(trailer_addr + trailer_size + image_ok_idx,
279 bytes(flag))
Wouter Cappellec028d452022-01-25 10:25:24 +0100280 h.puts(trailer_addr + (trailer_size - len(self.boot_magic)),
281 bytes(self.boot_magic))
Fabio Utzig7c00acd2019-01-07 09:54:20 -0200282 h.tofile(path, 'hex')
283 else:
Fabio Utzigedbabcf2019-10-11 13:03:37 -0300284 if self.pad:
285 self.pad_to(self.slot_size)
Fabio Utzig7c00acd2019-01-07 09:54:20 -0200286 with open(path, 'wb') as f:
287 f.write(self.payload)
288
Fabio Utzig9a492d52020-01-15 11:31:52 -0300289 def check_header(self):
Fabio Utzigf5556c32019-10-23 11:00:27 -0300290 if self.header_size > 0 and not self.pad_header:
David Brown23f91ad2017-05-16 11:38:17 -0600291 if any(v != 0 for v in self.payload[0:self.header_size]):
Fabio Utzig9a492d52020-01-15 11:31:52 -0300292 raise click.UsageError("Header padding was not requested and "
293 "image does not start with zeros")
294
295 def check_trailer(self):
Fabio Utzig263d4392018-06-05 10:37:35 -0300296 if self.slot_size > 0:
Fabio Utzigdcf0c9b2018-06-11 12:27:49 -0700297 tsize = self._trailer_size(self.align, self.max_sectors,
Fabio Utzig9a492d52020-01-15 11:31:52 -0300298 self.overwrite_only, self.enckey,
299 self.save_enctlv, self.enctlv_len)
Fabio Utzig263d4392018-06-05 10:37:35 -0300300 padding = self.slot_size - (len(self.payload) + tsize)
301 if padding < 0:
Fabio Utzig9a492d52020-01-15 11:31:52 -0300302 msg = "Image size (0x{:x}) + trailer (0x{:x}) exceeds " \
303 "requested size 0x{:x}".format(
304 len(self.payload), tsize, self.slot_size)
305 raise click.UsageError(msg)
David Brown23f91ad2017-05-16 11:38:17 -0600306
Fabio Utzig960b4c52020-04-02 13:07:12 -0300307 def ecies_hkdf(self, enckey, plainkey):
308 if isinstance(enckey, ecdsa.ECDSA256P1Public):
309 newpk = ec.generate_private_key(ec.SECP256R1(), default_backend())
310 shared = newpk.exchange(ec.ECDH(), enckey._get_public())
311 else:
312 newpk = X25519PrivateKey.generate()
313 shared = newpk.exchange(enckey._get_public())
Fabio Utzig7a3b2602019-10-22 09:56:44 -0300314 derived_key = HKDF(
315 algorithm=hashes.SHA256(), length=48, salt=None,
316 info=b'MCUBoot_ECIES_v1', backend=default_backend()).derive(shared)
317 encryptor = Cipher(algorithms.AES(derived_key[:16]),
318 modes.CTR(bytes([0] * 16)),
319 backend=default_backend()).encryptor()
320 cipherkey = encryptor.update(plainkey) + encryptor.finalize()
321 mac = hmac.HMAC(derived_key[16:], hashes.SHA256(),
322 backend=default_backend())
323 mac.update(cipherkey)
324 ciphermac = mac.finalize()
Fabio Utzig960b4c52020-04-02 13:07:12 -0300325 if isinstance(enckey, ecdsa.ECDSA256P1Public):
326 pubk = newpk.public_key().public_bytes(
327 encoding=Encoding.X962,
328 format=PublicFormat.UncompressedPoint)
329 else:
330 pubk = newpk.public_key().public_bytes(
331 encoding=Encoding.Raw,
332 format=PublicFormat.Raw)
Fabio Utzig7a3b2602019-10-22 09:56:44 -0300333 return cipherkey, ciphermac, pubk
334
David Vinczedde178d2020-03-26 20:06:01 +0100335 def create(self, key, public_key_format, enckey, dependencies=None,
Roland Mikhel57041742023-02-03 14:43:13 +0100336 sw_type=None, custom_tlvs=None, encrypt_keylen=128, clear=False,
David Vincze7f982b02023-04-27 16:12:17 +0200337 fixed_sig=None, pub_key=None, vector_to_sign=None):
Fabio Utzig649d80f2019-09-12 10:26:23 -0300338 self.enckey = enckey
339
Roland Mikhel57041742023-02-03 14:43:13 +0100340 # Check what hashing algorithm should be used
Rustam Ismayilov36f8bf32023-11-27 21:44:54 +0100341 if (key and isinstance(key, ecdsa.ECDSA384P1)
342 or pub_key and isinstance(pub_key, ecdsa.ECDSA384P1Public)):
Roland Mikhel57041742023-02-03 14:43:13 +0100343 hash_algorithm = hashlib.sha384
344 hash_tlv = "SHA384"
345 else:
346 hash_algorithm = hashlib.sha256
347 hash_tlv = "SHA256"
David Vincze71b8f982020-03-17 19:08:12 +0100348 # Calculate the hash of the public key
349 if key is not None:
350 pub = key.get_public_bytes()
Roland Mikhel57041742023-02-03 14:43:13 +0100351 sha = hash_algorithm()
David Vincze71b8f982020-03-17 19:08:12 +0100352 sha.update(pub)
353 pubbytes = sha.digest()
Andrzej Puzdrowski160303c2022-03-15 15:41:14 +0100354 elif pub_key is not None:
Andrzej Puzdrowskidfce0be2022-03-28 09:34:15 +0200355 if hasattr(pub_key, 'sign'):
Antonio de Angelis284b8fe2022-11-15 13:54:47 +0000356 print(os.path.basename(__file__) + ": sign the payload")
Andrzej Puzdrowski160303c2022-03-15 15:41:14 +0100357 pub = pub_key.get_public_bytes()
Roland Mikhel57041742023-02-03 14:43:13 +0100358 sha = hash_algorithm()
Andrzej Puzdrowski160303c2022-03-15 15:41:14 +0100359 sha.update(pub)
360 pubbytes = sha.digest()
David Vincze71b8f982020-03-17 19:08:12 +0100361 else:
362 pubbytes = bytes(hashlib.sha256().digest_size)
363
David Vincze1a7a6902020-02-18 15:05:16 +0100364 protected_tlv_size = 0
365
366 if self.security_counter is not None:
367 # Size of the security counter TLV: header ('HH') + payload ('I')
368 # = 4 + 4 = 8 Bytes
369 protected_tlv_size += TLV_SIZE + 4
370
David Vincze71b8f982020-03-17 19:08:12 +0100371 if sw_type is not None:
372 if len(sw_type) > MAX_SW_TYPE_LENGTH:
373 msg = "'{}' is too long ({} characters) for sw_type. Its " \
374 "maximum allowed length is 12 characters.".format(
375 sw_type, len(sw_type))
376 raise click.UsageError(msg)
377
378 image_version = (str(self.version.major) + '.'
379 + str(self.version.minor) + '.'
380 + str(self.version.revision))
381
382 # The image hash is computed over the image header, the image
383 # itself and the protected TLV area. However, the boot record TLV
384 # (which is part of the protected area) should contain this hash
385 # before it is even calculated. For this reason the script fills
386 # this field with zeros and the bootloader will insert the right
387 # value later.
Roland Mikhel57041742023-02-03 14:43:13 +0100388 digest = bytes(hash_algorithm().digest_size)
David Vincze71b8f982020-03-17 19:08:12 +0100389
390 # Create CBOR encoded boot record
391 boot_record = create_sw_component_data(sw_type, image_version,
Roland Mikhel57041742023-02-03 14:43:13 +0100392 hash_tlv, digest,
David Vincze71b8f982020-03-17 19:08:12 +0100393 pubbytes)
394
395 protected_tlv_size += TLV_SIZE + len(boot_record)
396
David Vincze1a7a6902020-02-18 15:05:16 +0100397 if dependencies is not None:
398 # Size of a Dependency TLV = Header ('HH') + Payload('IBBHI')
399 # = 4 + 12 = 16 Bytes
David Vinczeda8c9192019-03-26 17:17:41 +0100400 dependencies_num = len(dependencies[DEP_IMAGES_KEY])
David Vincze1a7a6902020-02-18 15:05:16 +0100401 protected_tlv_size += (dependencies_num * 16)
402
David Vinczeb2a1a482020-09-18 11:54:30 +0200403 if custom_tlvs is not None:
Ihor Slabkyy24d93732020-03-10 15:33:57 +0200404 for value in custom_tlvs.values():
405 protected_tlv_size += TLV_SIZE + len(value)
406
David Vincze1a7a6902020-02-18 15:05:16 +0100407 if protected_tlv_size != 0:
408 # Add the size of the TLV info header
409 protected_tlv_size += TLV_INFO_SIZE
David Vinczeda8c9192019-03-26 17:17:41 +0100410
Ihor Slabkyy24d93732020-03-10 15:33:57 +0200411 # At this point the image is already on the payload
412 #
413 # This adds the padding if image is not aligned to the 16 Bytes
414 # in encrypted mode
415 if self.enckey is not None:
416 pad_len = len(self.payload) % 16
417 if pad_len > 0:
Fabio Utzigd62631a2021-02-04 19:45:27 -0300418 pad = bytes(16 - pad_len)
419 if isinstance(self.payload, bytes):
420 self.payload += pad
421 else:
422 self.payload.extend(pad)
Ihor Slabkyy24d93732020-03-10 15:33:57 +0200423
424 # This adds the header to the payload as well
Salome Thirot0f641972021-05-14 11:19:55 +0100425 if encrypt_keylen == 256:
426 self.add_header(enckey, protected_tlv_size, 256)
427 else:
428 self.add_header(enckey, protected_tlv_size)
David Brown23f91ad2017-05-16 11:38:17 -0600429
Fabio Utzig510fddb2019-09-12 12:15:36 -0300430 prot_tlv = TLV(self.endian, TLV_PROT_INFO_MAGIC)
David Brown23f91ad2017-05-16 11:38:17 -0600431
Fabio Utzig510fddb2019-09-12 12:15:36 -0300432 # Protected TLVs must be added first, because they are also included
433 # in the hash calculation
434 protected_tlv_off = None
David Vinczeda8c9192019-03-26 17:17:41 +0100435 if protected_tlv_size != 0:
David Vincze1a7a6902020-02-18 15:05:16 +0100436
437 e = STRUCT_ENDIAN_DICT[self.endian]
438
439 if self.security_counter is not None:
440 payload = struct.pack(e + 'I', self.security_counter)
441 prot_tlv.add('SEC_CNT', payload)
442
David Vincze71b8f982020-03-17 19:08:12 +0100443 if sw_type is not None:
444 prot_tlv.add('BOOT_RECORD', boot_record)
445
David Vincze1a7a6902020-02-18 15:05:16 +0100446 if dependencies is not None:
447 for i in range(dependencies_num):
448 payload = struct.pack(
Rustam Ismayilov36f8bf32023-11-27 21:44:54 +0100449 e + 'B3x' + 'BBHI',
450 int(dependencies[DEP_IMAGES_KEY][i]),
451 dependencies[DEP_VERSIONS_KEY][i].major,
452 dependencies[DEP_VERSIONS_KEY][i].minor,
453 dependencies[DEP_VERSIONS_KEY][i].revision,
454 dependencies[DEP_VERSIONS_KEY][i].build
455 )
David Vincze1a7a6902020-02-18 15:05:16 +0100456 prot_tlv.add('DEPENDENCY', payload)
David Vinczeda8c9192019-03-26 17:17:41 +0100457
David Vinczeb2a1a482020-09-18 11:54:30 +0200458 if custom_tlvs is not None:
459 for tag, value in custom_tlvs.items():
460 prot_tlv.add(tag, value)
Ihor Slabkyy24d93732020-03-10 15:33:57 +0200461
Fabio Utzig510fddb2019-09-12 12:15:36 -0300462 protected_tlv_off = len(self.payload)
463 self.payload += prot_tlv.get()
464
465 tlv = TLV(self.endian)
David Vinczeda8c9192019-03-26 17:17:41 +0100466
David Brown23f91ad2017-05-16 11:38:17 -0600467 # Note that ecdsa wants to do the hashing itself, which means
468 # we get to hash it twice.
Roland Mikhel57041742023-02-03 14:43:13 +0100469 sha = hash_algorithm()
David Brown23f91ad2017-05-16 11:38:17 -0600470 sha.update(self.payload)
471 digest = sha.digest()
Roland Mikhel57041742023-02-03 14:43:13 +0100472 tlv.add(hash_tlv, digest)
David Brown23f91ad2017-05-16 11:38:17 -0600473
Fabio Utzig08a716d2022-11-18 10:54:07 -0300474 if vector_to_sign == 'payload':
475 # Stop amending data to the image
476 # Just keep data vector which is expected to be signed
477 print(os.path.basename(__file__) + ': export payload')
478 return
479 elif vector_to_sign == 'digest':
480 self.payload = digest
481 print(os.path.basename(__file__) + ': export digest')
482 return
483
Almir Okato3eb50262022-05-09 16:23:50 -0300484 if key is not None or fixed_sig is not None:
485 if public_key_format == 'hash':
486 tlv.add('KEYHASH', pubbytes)
Fabio Utzig8101d1f2019-05-09 15:03:22 -0300487 else:
Almir Okato3eb50262022-05-09 16:23:50 -0300488 tlv.add('PUBKEY', pub)
489
Almir Okato3eb50262022-05-09 16:23:50 -0300490 if key is not None and fixed_sig is None:
Roland Mikhel57041742023-02-03 14:43:13 +0100491 # `sign` expects the full image payload (hashing done
492 # internally), while `sign_digest` expects only the digest
493 # of the payload
Almir Okato3eb50262022-05-09 16:23:50 -0300494
495 if hasattr(key, 'sign'):
Antonio de Angelis284b8fe2022-11-15 13:54:47 +0000496 print(os.path.basename(__file__) + ": sign the payload")
Almir Okato3eb50262022-05-09 16:23:50 -0300497 sig = key.sign(bytes(self.payload))
498 else:
Antonio de Angelis284b8fe2022-11-15 13:54:47 +0000499 print(os.path.basename(__file__) + ": sign the digest")
Almir Okato3eb50262022-05-09 16:23:50 -0300500 sig = key.sign_digest(digest)
David Vincze7f982b02023-04-27 16:12:17 +0200501 tlv.add(key.sig_tlv(), sig)
Almir Okato3eb50262022-05-09 16:23:50 -0300502 self.signature = sig
503 elif fixed_sig is not None and key is None:
David Vincze7f982b02023-04-27 16:12:17 +0200504 tlv.add(pub_key.sig_tlv(), fixed_sig['value'])
Almir Okato3eb50262022-05-09 16:23:50 -0300505 self.signature = fixed_sig['value']
506 else:
507 raise click.UsageError("Can not sign using key and provide fixed-signature at the same time")
David Brown23f91ad2017-05-16 11:38:17 -0600508
Fabio Utzig510fddb2019-09-12 12:15:36 -0300509 # At this point the image was hashed + signed, we can remove the
510 # protected TLVs from the payload (will be re-added later)
511 if protected_tlv_off is not None:
512 self.payload = self.payload[:protected_tlv_off]
513
Fabio Utzig06b77b82018-08-23 16:01:16 -0300514 if enckey is not None:
Salome Thirot0f641972021-05-14 11:19:55 +0100515 if encrypt_keylen == 256:
516 plainkey = os.urandom(32)
517 else:
518 plainkey = os.urandom(16)
Fabio Utzig7a3b2602019-10-22 09:56:44 -0300519
520 if isinstance(enckey, rsa.RSAPublic):
521 cipherkey = enckey._get_public().encrypt(
522 plainkey, padding.OAEP(
523 mgf=padding.MGF1(algorithm=hashes.SHA256()),
524 algorithm=hashes.SHA256(),
525 label=None))
Fabio Utzig9a492d52020-01-15 11:31:52 -0300526 self.enctlv_len = len(cipherkey)
Fabio Utzig7a3b2602019-10-22 09:56:44 -0300527 tlv.add('ENCRSA2048', cipherkey)
Fabio Utzig960b4c52020-04-02 13:07:12 -0300528 elif isinstance(enckey, (ecdsa.ECDSA256P1Public,
529 x25519.X25519Public)):
530 cipherkey, mac, pubk = self.ecies_hkdf(enckey, plainkey)
Fabio Utzig9a492d52020-01-15 11:31:52 -0300531 enctlv = pubk + mac + cipherkey
532 self.enctlv_len = len(enctlv)
Fabio Utzig960b4c52020-04-02 13:07:12 -0300533 if isinstance(enckey, ecdsa.ECDSA256P1Public):
534 tlv.add('ENCEC256', enctlv)
535 else:
536 tlv.add('ENCX25519', enctlv)
Fabio Utzig06b77b82018-08-23 16:01:16 -0300537
Michel Jaouend09aa6b2022-01-07 16:48:58 +0100538 if not clear:
539 nonce = bytes([0] * 16)
540 cipher = Cipher(algorithms.AES(plainkey), modes.CTR(nonce),
541 backend=default_backend())
542 encryptor = cipher.encryptor()
543 img = bytes(self.payload[self.header_size:])
544 self.payload[self.header_size:] = \
545 encryptor.update(img) + encryptor.finalize()
Fabio Utzig06b77b82018-08-23 16:01:16 -0300546
Fabio Utzig510fddb2019-09-12 12:15:36 -0300547 self.payload += prot_tlv.get()
548 self.payload += tlv.get()
David Brown23f91ad2017-05-16 11:38:17 -0600549
Fabio Utzig9a492d52020-01-15 11:31:52 -0300550 self.check_trailer()
551
Andrzej Puzdrowski160303c2022-03-15 15:41:14 +0100552 def get_signature(self):
553 return self.signature
554
Salome Thirot0f641972021-05-14 11:19:55 +0100555 def add_header(self, enckey, protected_tlv_size, aes_length=128):
Fabio Utzigcd284062018-11-30 11:05:45 -0200556 """Install the image header."""
David Brown23f91ad2017-05-16 11:38:17 -0600557
David Brown0f0c6a82017-06-08 09:26:24 -0600558 flags = 0
Fabio Utzig06b77b82018-08-23 16:01:16 -0300559 if enckey is not None:
Salome Thirot0f641972021-05-14 11:19:55 +0100560 if aes_length == 128:
561 flags |= IMAGE_F['ENCRYPTED_AES128']
562 else:
563 flags |= IMAGE_F['ENCRYPTED_AES256']
David Vincze1e0c5442020-04-07 14:12:33 +0200564 if self.load_addr != 0:
565 # Indicates that this image should be loaded into RAM
566 # instead of run directly from flash.
567 flags |= IMAGE_F['RAM_LOAD']
Dominik Ermel50820b12020-12-14 13:16:46 +0000568 if self.rom_fixed:
569 flags |= IMAGE_F['ROM_FIXED']
David Brown23f91ad2017-05-16 11:38:17 -0600570
Mark Schultea66c6872018-09-26 17:24:40 -0700571 e = STRUCT_ENDIAN_DICT[self.endian]
572 fmt = (e +
David Vinczeda8c9192019-03-26 17:17:41 +0100573 # type ImageHdr struct {
574 'I' + # Magic uint32
575 'I' + # LoadAddr uint32
576 'H' + # HdrSz uint16
577 'H' + # PTLVSz uint16
578 'I' + # ImgSz uint32
579 'I' + # Flags uint32
580 'BBHI' + # Vers ImageVersion
581 'I' # Pad1 uint32
582 ) # }
David Brown23f91ad2017-05-16 11:38:17 -0600583 assert struct.calcsize(fmt) == IMAGE_HEADER_SIZE
584 header = struct.pack(fmt,
Roland Mikhel57041742023-02-03 14:43:13 +0100585 IMAGE_MAGIC,
586 self.rom_fixed or self.load_addr,
587 self.header_size,
588 protected_tlv_size, # TLV Info header +
589 # Protected TLVs
590 len(self.payload) - self.header_size, # ImageSz
591 flags,
592 self.version.major,
593 self.version.minor or 0,
594 self.version.revision or 0,
595 self.version.build or 0,
596 0) # Pad1
David Brown23f91ad2017-05-16 11:38:17 -0600597 self.payload = bytearray(self.payload)
598 self.payload[:len(header)] = header
599
Fabio Utzig9a492d52020-01-15 11:31:52 -0300600 def _trailer_size(self, write_size, max_sectors, overwrite_only, enckey,
601 save_enctlv, enctlv_len):
Fabio Utzig519285f2018-06-04 11:11:53 -0300602 # NOTE: should already be checked by the argument parser
Fabio Utzig649d80f2019-09-12 10:26:23 -0300603 magic_size = 16
Gustavo Henrique Niheicf120ba2021-11-22 18:44:11 -0300604 magic_align_size = align_up(magic_size, self.max_align)
Fabio Utzigdcf0c9b2018-06-11 12:27:49 -0700605 if overwrite_only:
Kristine Jassmann73c38c62021-02-03 16:56:14 +0000606 return self.max_align * 2 + magic_align_size
Fabio Utzigdcf0c9b2018-06-11 12:27:49 -0700607 else:
Kristine Jassmann73c38c62021-02-03 16:56:14 +0000608 if write_size not in set([1, 2, 4, 8, 16, 32]):
Fabio Utzig1f508922020-01-15 11:37:51 -0300609 raise click.BadParameter("Invalid alignment: {}".format(
610 write_size))
Fabio Utzigdcf0c9b2018-06-11 12:27:49 -0700611 m = DEFAULT_MAX_SECTORS if max_sectors is None else max_sectors
Fabio Utzig649d80f2019-09-12 10:26:23 -0300612 trailer = m * 3 * write_size # status area
613 if enckey is not None:
Fabio Utzig9a492d52020-01-15 11:31:52 -0300614 if save_enctlv:
615 # TLV saved by the bootloader is aligned
Gustavo Henrique Niheicf120ba2021-11-22 18:44:11 -0300616 keylen = align_up(enctlv_len, self.max_align)
Fabio Utzig9a492d52020-01-15 11:31:52 -0300617 else:
Gustavo Henrique Niheicf120ba2021-11-22 18:44:11 -0300618 keylen = align_up(16, self.max_align)
Fabio Utzig9a492d52020-01-15 11:31:52 -0300619 trailer += keylen * 2 # encryption keys
Kristine Jassmann73c38c62021-02-03 16:56:14 +0000620 trailer += self.max_align * 4 # image_ok/copy_done/swap_info/swap_size
621 trailer += magic_align_size
Fabio Utzig649d80f2019-09-12 10:26:23 -0300622 return trailer
Fabio Utzig519285f2018-06-04 11:11:53 -0300623
Fabio Utzig263d4392018-06-05 10:37:35 -0300624 def pad_to(self, size):
David Brown23f91ad2017-05-16 11:38:17 -0600625 """Pad the image to the given size, with the given flash alignment."""
Fabio Utzigdcf0c9b2018-06-11 12:27:49 -0700626 tsize = self._trailer_size(self.align, self.max_sectors,
Fabio Utzig9a492d52020-01-15 11:31:52 -0300627 self.overwrite_only, self.enckey,
628 self.save_enctlv, self.enctlv_len)
David Brown23f91ad2017-05-16 11:38:17 -0600629 padding = size - (len(self.payload) + tsize)
Henrik Brix Andersen0ce958e2020-03-11 14:04:11 +0100630 pbytes = bytearray([self.erased_val] * padding)
Gustavo Henrique Niheicf120ba2021-11-22 18:44:11 -0300631 pbytes += bytearray([self.erased_val] * (tsize - len(self.boot_magic)))
632 pbytes += self.boot_magic
Kristine Jassmann73c38c62021-02-03 16:56:14 +0000633 if self.confirm and not self.overwrite_only:
634 magic_size = 16
Gustavo Henrique Niheicf120ba2021-11-22 18:44:11 -0300635 magic_align_size = align_up(magic_size, self.max_align)
Kristine Jassmann73c38c62021-02-03 16:56:14 +0000636 image_ok_idx = -(magic_align_size + self.max_align)
637 pbytes[image_ok_idx] = 0x01 # image_ok = 0x01
David Brown23f91ad2017-05-16 11:38:17 -0600638 self.payload += pbytes
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300639
640 @staticmethod
641 def verify(imgfile, key):
Lucian Zala79c284b2024-01-30 17:43:11 +0200642 ext = os.path.splitext(imgfile)[1][1:].lower()
643 try:
644 if ext == INTEL_HEX_EXT:
645 b = IntelHex(imgfile).tobinstr()
646 else:
647 with open(imgfile, 'rb') as f:
648 b = f.read()
649 except FileNotFoundError:
650 raise click.UsageError(f"Image file {imgfile} not found")
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300651
652 magic, _, header_size, _, img_size = struct.unpack('IIHHI', b[:16])
Marek Pietae9555102019-08-08 16:08:16 +0200653 version = struct.unpack('BBHI', b[20:28])
654
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300655 if magic != IMAGE_MAGIC:
Casper Meijn2a01f3f2020-08-22 13:51:40 +0200656 return VerifyResult.INVALID_MAGIC, None, None
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300657
Fabio Utzigd12a8da2021-01-21 08:44:59 -0300658 tlv_off = header_size + img_size
Rustam Ismayilov36f8bf32023-11-27 21:44:54 +0100659 tlv_info = b[tlv_off:tlv_off + TLV_INFO_SIZE]
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300660 magic, tlv_tot = struct.unpack('HH', tlv_info)
Fabio Utzigd12a8da2021-01-21 08:44:59 -0300661 if magic == TLV_PROT_INFO_MAGIC:
662 tlv_off += tlv_tot
Rustam Ismayilov36f8bf32023-11-27 21:44:54 +0100663 tlv_info = b[tlv_off:tlv_off + TLV_INFO_SIZE]
Fabio Utzigd12a8da2021-01-21 08:44:59 -0300664 magic, tlv_tot = struct.unpack('HH', tlv_info)
665
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300666 if magic != TLV_INFO_MAGIC:
Casper Meijn2a01f3f2020-08-22 13:51:40 +0200667 return VerifyResult.INVALID_TLV_INFO_MAGIC, None, None
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300668
Fabio Utzigd12a8da2021-01-21 08:44:59 -0300669 prot_tlv_size = tlv_off
Rustam Ismayilov36f8bf32023-11-27 21:44:54 +0100670 hash_region = b[:prot_tlv_size]
671 digest = None
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300672 tlv_end = tlv_off + tlv_tot
673 tlv_off += TLV_INFO_SIZE # skip tlv info
674 while tlv_off < tlv_end:
Rustam Ismayilov36f8bf32023-11-27 21:44:54 +0100675 tlv = b[tlv_off:tlv_off + TLV_SIZE]
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300676 tlv_type, _, tlv_len = struct.unpack('BBH', tlv)
Rustam Ismayilov36f8bf32023-11-27 21:44:54 +0100677 if tlv_type == TLV_VALUES["SHA256"] or tlv_type == TLV_VALUES["SHA384"]:
678 if not tlv_matches_key_type(tlv_type, key):
679 return VerifyResult.KEY_MISMATCH, None, None
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300680 off = tlv_off + TLV_SIZE
Rustam Ismayilov36f8bf32023-11-27 21:44:54 +0100681 digest = get_digest(tlv_type, hash_region)
682 if digest == b[off:off + tlv_len]:
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300683 if key is None:
Casper Meijn2a01f3f2020-08-22 13:51:40 +0200684 return VerifyResult.OK, version, digest
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300685 else:
Casper Meijn2a01f3f2020-08-22 13:51:40 +0200686 return VerifyResult.INVALID_HASH, None, None
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300687 elif key is not None and tlv_type == TLV_VALUES[key.sig_tlv()]:
688 off = tlv_off + TLV_SIZE
Rustam Ismayilov36f8bf32023-11-27 21:44:54 +0100689 tlv_sig = b[off:off + tlv_len]
Fabio Utzigd12a8da2021-01-21 08:44:59 -0300690 payload = b[:prot_tlv_size]
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300691 try:
Fabio Utzig8101d1f2019-05-09 15:03:22 -0300692 if hasattr(key, 'verify'):
693 key.verify(tlv_sig, payload)
694 else:
695 key.verify_digest(tlv_sig, digest)
Casper Meijn2a01f3f2020-08-22 13:51:40 +0200696 return VerifyResult.OK, version, digest
Fabio Utzig4a5477a2019-05-27 15:45:08 -0300697 except InvalidSignature:
698 # continue to next TLV
699 pass
700 tlv_off += TLV_SIZE + tlv_len
Casper Meijn2a01f3f2020-08-22 13:51:40 +0200701 return VerifyResult.INVALID_SIGNATURE, None, None