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1# SPDX-License-Identifier: GPL-2.0-only 

2# This file is part of Scapy 

3# See https://scapy.net/ for more information 

4# Copyright (C) 2007, 2008, 2009 Arnaud Ebalard 

5# 2015, 2016, 2017 Maxence Tury 

6 

7""" 

8This is a register for DH groups from RFC 3526 and RFC 4306. 

9At this time the groups from RFC 7919 have not been registered by openssl, 

10thus they cannot be imported from the cryptography library. 

11 

12We also provide TLS identifiers for these DH groups and also the ECDH groups. 

13(Note that the equivalent of _ffdh_groups for ECDH is ec._CURVE_TYPES.) 

14""" 

15 

16 

17from scapy.config import conf 

18from scapy.compat import bytes_int, int_bytes 

19from scapy.error import warning 

20from scapy.utils import long_converter 

21if conf.crypto_valid: 

22 from cryptography.hazmat.backends import default_backend 

23 from cryptography.hazmat.primitives.asymmetric import dh, ec 

24 from cryptography.hazmat.primitives import serialization 

25 from cryptography.hazmat.primitives.asymmetric.dh import DHParameterNumbers 

26if conf.crypto_valid_advanced: 

27 from cryptography.hazmat.primitives.asymmetric import x25519 

28 from cryptography.hazmat.primitives.asymmetric import x448 

29 

30 

31_ffdh_groups = {} 

32 

33 

34class _FFDHParamsMetaclass(type): 

35 def __new__(cls, ffdh_name, bases, dct): 

36 the_class = super(_FFDHParamsMetaclass, cls).__new__(cls, ffdh_name, 

37 bases, dct) 

38 if conf.crypto_valid and ffdh_name != "_FFDHParams": 

39 pn = DHParameterNumbers(the_class.m, the_class.g) 

40 params = pn.parameters(default_backend()) 

41 _ffdh_groups[ffdh_name] = [params, the_class.mLen] 

42 return the_class 

43 

44 

45class _FFDHParams(metaclass=_FFDHParamsMetaclass): 

46 pass 

47 

48 

49class modp768(_FFDHParams): 

50 g = 0x02 

51 m = long_converter(""" 

52 FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1 29024E08 

53 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD EF9519B3 CD3A431B 

54 302B0A6D F25F1437 4FE1356D 6D51C245 E485B576 625E7EC6 F44C42E9 

55 A63A3620 FFFFFFFF FFFFFFFF""") 

56 mLen = 768 

57 

58 

59class modp1024(_FFDHParams): # From RFC 4306 

60 g = 0x02 

61 m = long_converter(""" 

62 FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1 29024E08 

63 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD EF9519B3 CD3A431B 

64 302B0A6D F25F1437 4FE1356D 6D51C245 E485B576 625E7EC6 F44C42E9 

65 A637ED6B 0BFF5CB6 F406B7ED EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 

66 49286651 ECE65381 FFFFFFFF FFFFFFFF""") 

67 mLen = 1024 

68 

69 

70class modp1536(_FFDHParams): # From RFC 3526 

71 g = 0x02 

72 m = long_converter(""" 

73 FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1 

74 29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD 

75 EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245 

76 E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED 

77 EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D 

78 C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F 

79 83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D 

80 670C354E 4ABC9804 F1746C08 CA237327 FFFFFFFF FFFFFFFF""") 

81 mLen = 1536 

82 

83 

84class modp2048(_FFDHParams): # From RFC 3526 

85 g = 0x02 

86 m = long_converter(""" 

87 FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1 

88 29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD 

89 EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245 

90 E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED 

91 EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D 

92 C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F 

93 83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D 

94 670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B 

95 E39E772C 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9 

96 DE2BCBF6 95581718 3995497C EA956AE5 15D22618 98FA0510 

97 15728E5A 8AACAA68 FFFFFFFF FFFFFFFF""") 

98 mLen = 2048 

99 

100 

101class modp3072(_FFDHParams): # From RFC 3526 

102 g = 0x02 

103 m = long_converter(""" 

104 FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1 

105 29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD 

106 EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245 

107 E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED 

108 EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D 

109 C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F 

110 83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D 

111 670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B 

112 E39E772C 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9 

113 DE2BCBF6 95581718 3995497C EA956AE5 15D22618 98FA0510 

114 15728E5A 8AAAC42D AD33170D 04507A33 A85521AB DF1CBA64 

115 ECFB8504 58DBEF0A 8AEA7157 5D060C7D B3970F85 A6E1E4C7 

116 ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226 1AD2EE6B 

117 F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C 

118 BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31 

119 43DB5BFC E0FD108E 4B82D120 A93AD2CA FFFFFFFF FFFFFFFF""") 

120 mLen = 3072 

121 

122 

123class modp4096(_FFDHParams): # From RFC 3526 

124 g = 0x02 

125 m = long_converter(""" 

126 FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1 

127 29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD 

128 EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245 

129 E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED 

130 EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D 

131 C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F 

132 83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D 

133 670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B 

134 E39E772C 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9 

135 DE2BCBF6 95581718 3995497C EA956AE5 15D22618 98FA0510 

136 15728E5A 8AAAC42D AD33170D 04507A33 A85521AB DF1CBA64 

137 ECFB8504 58DBEF0A 8AEA7157 5D060C7D B3970F85 A6E1E4C7 

138 ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226 1AD2EE6B 

139 F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C 

140 BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31 

141 43DB5BFC E0FD108E 4B82D120 A9210801 1A723C12 A787E6D7 

142 88719A10 BDBA5B26 99C32718 6AF4E23C 1A946834 B6150BDA 

143 2583E9CA 2AD44CE8 DBBBC2DB 04DE8EF9 2E8EFC14 1FBECAA6 

144 287C5947 4E6BC05D 99B2964F A090C3A2 233BA186 515BE7ED 

145 1F612970 CEE2D7AF B81BDD76 2170481C D0069127 D5B05AA9 

146 93B4EA98 8D8FDDC1 86FFB7DC 90A6C08F 4DF435C9 34063199 

147 FFFFFFFF FFFFFFFF""") 

148 mLen = 4096 

149 

150 

151class modp6144(_FFDHParams): # From RFC 3526 

152 g = 0x02 

153 m = long_converter(""" 

154 FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1 29024E08 

155 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD EF9519B3 CD3A431B 

156 302B0A6D F25F1437 4FE1356D 6D51C245 E485B576 625E7EC6 F44C42E9 

157 A637ED6B 0BFF5CB6 F406B7ED EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 

158 49286651 ECE45B3D C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 

159 FD24CF5F 83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D 

160 670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B E39E772C 

161 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9 DE2BCBF6 95581718 

162 3995497C EA956AE5 15D22618 98FA0510 15728E5A 8AAAC42D AD33170D 

163 04507A33 A85521AB DF1CBA64 ECFB8504 58DBEF0A 8AEA7157 5D060C7D 

164 B3970F85 A6E1E4C7 ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226 

165 1AD2EE6B F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C 

166 BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31 43DB5BFC 

167 E0FD108E 4B82D120 A9210801 1A723C12 A787E6D7 88719A10 BDBA5B26 

168 99C32718 6AF4E23C 1A946834 B6150BDA 2583E9CA 2AD44CE8 DBBBC2DB 

169 04DE8EF9 2E8EFC14 1FBECAA6 287C5947 4E6BC05D 99B2964F A090C3A2 

170 233BA186 515BE7ED 1F612970 CEE2D7AF B81BDD76 2170481C D0069127 

171 D5B05AA9 93B4EA98 8D8FDDC1 86FFB7DC 90A6C08F 4DF435C9 34028492 

172 36C3FAB4 D27C7026 C1D4DCB2 602646DE C9751E76 3DBA37BD F8FF9406 

173 AD9E530E E5DB382F 413001AE B06A53ED 9027D831 179727B0 865A8918 

174 DA3EDBEB CF9B14ED 44CE6CBA CED4BB1B DB7F1447 E6CC254B 33205151 

175 2BD7AF42 6FB8F401 378CD2BF 5983CA01 C64B92EC F032EA15 D1721D03 

176 F482D7CE 6E74FEF6 D55E702F 46980C82 B5A84031 900B1C9E 59E7C97F 

177 BEC7E8F3 23A97A7E 36CC88BE 0F1D45B7 FF585AC5 4BD407B2 2B4154AA 

178 CC8F6D7E BF48E1D8 14CC5ED2 0F8037E0 A79715EE F29BE328 06A1D58B 

179 B7C5DA76 F550AA3D 8A1FBFF0 EB19CCB1 A313D55C DA56C9EC 2EF29632 

180 387FE8D7 6E3C0468 043E8F66 3F4860EE 12BF2D5B 0B7474D6 E694F91E 

181 6DCC4024 FFFFFFFF FFFFFFFF""") 

182 mLen = 6144 

183 

184 

185class modp8192(_FFDHParams): # From RFC 3526 

186 g = 0x02 

187 m = long_converter(""" 

188 FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1 

189 29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD 

190 EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245 

191 E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED 

192 EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D 

193 C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F 

194 83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D 

195 670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B 

196 E39E772C 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9 

197 DE2BCBF6 95581718 3995497C EA956AE5 15D22618 98FA0510 

198 15728E5A 8AAAC42D AD33170D 04507A33 A85521AB DF1CBA64 

199 ECFB8504 58DBEF0A 8AEA7157 5D060C7D B3970F85 A6E1E4C7 

200 ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226 1AD2EE6B 

201 F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C 

202 BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31 

203 43DB5BFC E0FD108E 4B82D120 A9210801 1A723C12 A787E6D7 

204 88719A10 BDBA5B26 99C32718 6AF4E23C 1A946834 B6150BDA 

205 2583E9CA 2AD44CE8 DBBBC2DB 04DE8EF9 2E8EFC14 1FBECAA6 

206 287C5947 4E6BC05D 99B2964F A090C3A2 233BA186 515BE7ED 

207 1F612970 CEE2D7AF B81BDD76 2170481C D0069127 D5B05AA9 

208 93B4EA98 8D8FDDC1 86FFB7DC 90A6C08F 4DF435C9 34028492 

209 36C3FAB4 D27C7026 C1D4DCB2 602646DE C9751E76 3DBA37BD 

210 F8FF9406 AD9E530E E5DB382F 413001AE B06A53ED 9027D831 

211 179727B0 865A8918 DA3EDBEB CF9B14ED 44CE6CBA CED4BB1B 

212 DB7F1447 E6CC254B 33205151 2BD7AF42 6FB8F401 378CD2BF 

213 5983CA01 C64B92EC F032EA15 D1721D03 F482D7CE 6E74FEF6 

214 D55E702F 46980C82 B5A84031 900B1C9E 59E7C97F BEC7E8F3 

215 23A97A7E 36CC88BE 0F1D45B7 FF585AC5 4BD407B2 2B4154AA 

216 CC8F6D7E BF48E1D8 14CC5ED2 0F8037E0 A79715EE F29BE328 

217 06A1D58B B7C5DA76 F550AA3D 8A1FBFF0 EB19CCB1 A313D55C 

218 DA56C9EC 2EF29632 387FE8D7 6E3C0468 043E8F66 3F4860EE 

219 12BF2D5B 0B7474D6 E694F91E 6DBE1159 74A3926F 12FEE5E4 

220 38777CB6 A932DF8C D8BEC4D0 73B931BA 3BC832B6 8D9DD300 

221 741FA7BF 8AFC47ED 2576F693 6BA42466 3AAB639C 5AE4F568 

222 3423B474 2BF1C978 238F16CB E39D652D E3FDB8BE FC848AD9 

223 22222E04 A4037C07 13EB57A8 1A23F0C7 3473FC64 6CEA306B 

224 4BCBC886 2F8385DD FA9D4B7F A2C087E8 79683303 ED5BDD3A 

225 062B3CF5 B3A278A6 6D2A13F8 3F44F82D DF310EE0 74AB6A36 

226 4597E899 A0255DC1 64F31CC5 0846851D F9AB4819 5DED7EA1 

227 B1D510BD 7EE74D73 FAF36BC3 1ECFA268 359046F4 EB879F92 

228 4009438B 481C6CD7 889A002E D5EE382B C9190DA6 FC026E47 

229 9558E447 5677E9AA 9E3050E2 765694DF C81F56E8 80B96E71 

230 60C980DD 98EDD3DF FFFFFFFF FFFFFFFF""") 

231 mLen = 8192 

232 

233 

234class ffdhe2048(_FFDHParams): # From RFC 7919 

235 g = 0x02 

236 m = long_converter(""" 

237 FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1 

238 D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9 

239 7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561 

240 2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935 

241 984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735 

242 30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB 

243 B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19 

244 0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61 

245 9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73 

246 3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA 

247 886B4238 61285C97 FFFFFFFF FFFFFFFF 

248 """) 

249 mLen = 2048 

250 

251 

252class ffdhe3072(_FFDHParams): # From RFC 7919 

253 g = 0x02 

254 m = long_converter(""" 

255 FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1 

256 D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9 

257 7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561 

258 2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935 

259 984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735 

260 30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB 

261 B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19 

262 0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61 

263 9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73 

264 3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA 

265 886B4238 611FCFDC DE355B3B 6519035B BC34F4DE F99C0238 

266 61B46FC9 D6E6C907 7AD91D26 91F7F7EE 598CB0FA C186D91C 

267 AEFE1309 85139270 B4130C93 BC437944 F4FD4452 E2D74DD3 

268 64F2E21E 71F54BFF 5CAE82AB 9C9DF69E E86D2BC5 22363A0D 

269 ABC52197 9B0DEADA 1DBF9A42 D5C4484E 0ABCD06B FA53DDEF 

270 3C1B20EE 3FD59D7C 25E41D2B 66C62E37 FFFFFFFF FFFFFFFF 

271 """) 

272 mLen = 3072 

273 

274 

275class ffdhe4096(_FFDHParams): # From RFC 7919 

276 g = 0x02 

277 m = long_converter(""" 

278 FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1 

279 D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9 

280 7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561 

281 2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935 

282 984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735 

283 30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB 

284 B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19 

285 0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61 

286 9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73 

287 3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA 

288 886B4238 611FCFDC DE355B3B 6519035B BC34F4DE F99C0238 

289 61B46FC9 D6E6C907 7AD91D26 91F7F7EE 598CB0FA C186D91C 

290 AEFE1309 85139270 B4130C93 BC437944 F4FD4452 E2D74DD3 

291 64F2E21E 71F54BFF 5CAE82AB 9C9DF69E E86D2BC5 22363A0D 

292 ABC52197 9B0DEADA 1DBF9A42 D5C4484E 0ABCD06B FA53DDEF 

293 3C1B20EE 3FD59D7C 25E41D2B 669E1EF1 6E6F52C3 164DF4FB 

294 7930E9E4 E58857B6 AC7D5F42 D69F6D18 7763CF1D 55034004 

295 87F55BA5 7E31CC7A 7135C886 EFB4318A ED6A1E01 2D9E6832 

296 A907600A 918130C4 6DC778F9 71AD0038 092999A3 33CB8B7A 

297 1A1DB93D 7140003C 2A4ECEA9 F98D0ACC 0A8291CD CEC97DCF 

298 8EC9B55A 7F88A46B 4DB5A851 F44182E1 C68A007E 5E655F6A 

299 FFFFFFFF FFFFFFFF 

300 """) 

301 mLen = 4096 

302 

303 

304class ffdhe6144(_FFDHParams): # From RFC 7919 

305 g = 0x02 

306 m = long_converter(""" 

307 FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1 

308 D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9 

309 7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561 

310 2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935 

311 984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735 

312 30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB 

313 B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19 

314 0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61 

315 9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73 

316 3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA 

317 886B4238 611FCFDC DE355B3B 6519035B BC34F4DE F99C0238 

318 61B46FC9 D6E6C907 7AD91D26 91F7F7EE 598CB0FA C186D91C 

319 AEFE1309 85139270 B4130C93 BC437944 F4FD4452 E2D74DD3 

320 64F2E21E 71F54BFF 5CAE82AB 9C9DF69E E86D2BC5 22363A0D 

321 ABC52197 9B0DEADA 1DBF9A42 D5C4484E 0ABCD06B FA53DDEF 

322 3C1B20EE 3FD59D7C 25E41D2B 669E1EF1 6E6F52C3 164DF4FB 

323 7930E9E4 E58857B6 AC7D5F42 D69F6D18 7763CF1D 55034004 

324 87F55BA5 7E31CC7A 7135C886 EFB4318A ED6A1E01 2D9E6832 

325 A907600A 918130C4 6DC778F9 71AD0038 092999A3 33CB8B7A 

326 1A1DB93D 7140003C 2A4ECEA9 F98D0ACC 0A8291CD CEC97DCF 

327 8EC9B55A 7F88A46B 4DB5A851 F44182E1 C68A007E 5E0DD902 

328 0BFD64B6 45036C7A 4E677D2C 38532A3A 23BA4442 CAF53EA6 

329 3BB45432 9B7624C8 917BDD64 B1C0FD4C B38E8C33 4C701C3A 

330 CDAD0657 FCCFEC71 9B1F5C3E 4E46041F 388147FB 4CFDB477 

331 A52471F7 A9A96910 B855322E DB6340D8 A00EF092 350511E3 

332 0ABEC1FF F9E3A26E 7FB29F8C 183023C3 587E38DA 0077D9B4 

333 763E4E4B 94B2BBC1 94C6651E 77CAF992 EEAAC023 2A281BF6 

334 B3A739C1 22611682 0AE8DB58 47A67CBE F9C9091B 462D538C 

335 D72B0374 6AE77F5E 62292C31 1562A846 505DC82D B854338A 

336 E49F5235 C95B9117 8CCF2DD5 CACEF403 EC9D1810 C6272B04 

337 5B3B71F9 DC6B80D6 3FDD4A8E 9ADB1E69 62A69526 D43161C1 

338 A41D570D 7938DAD4 A40E329C D0E40E65 FFFFFFFF FFFFFFFF 

339 """) 

340 mLen = 6144 

341 

342 

343class ffdhe8192(_FFDHParams): # From RFC 7919 

344 g = 0x02 

345 m = long_converter(""" 

346 FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1 

347 D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9 

348 7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561 

349 2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935 

350 984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735 

351 30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB 

352 B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19 

353 0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61 

354 9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73 

355 3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA 

356 886B4238 611FCFDC DE355B3B 6519035B BC34F4DE F99C0238 

357 61B46FC9 D6E6C907 7AD91D26 91F7F7EE 598CB0FA C186D91C 

358 AEFE1309 85139270 B4130C93 BC437944 F4FD4452 E2D74DD3 

359 64F2E21E 71F54BFF 5CAE82AB 9C9DF69E E86D2BC5 22363A0D 

360 ABC52197 9B0DEADA 1DBF9A42 D5C4484E 0ABCD06B FA53DDEF 

361 3C1B20EE 3FD59D7C 25E41D2B 669E1EF1 6E6F52C3 164DF4FB 

362 7930E9E4 E58857B6 AC7D5F42 D69F6D18 7763CF1D 55034004 

363 87F55BA5 7E31CC7A 7135C886 EFB4318A ED6A1E01 2D9E6832 

364 A907600A 918130C4 6DC778F9 71AD0038 092999A3 33CB8B7A 

365 1A1DB93D 7140003C 2A4ECEA9 F98D0ACC 0A8291CD CEC97DCF 

366 8EC9B55A 7F88A46B 4DB5A851 F44182E1 C68A007E 5E0DD902 

367 0BFD64B6 45036C7A 4E677D2C 38532A3A 23BA4442 CAF53EA6 

368 3BB45432 9B7624C8 917BDD64 B1C0FD4C B38E8C33 4C701C3A 

369 CDAD0657 FCCFEC71 9B1F5C3E 4E46041F 388147FB 4CFDB477 

370 A52471F7 A9A96910 B855322E DB6340D8 A00EF092 350511E3 

371 0ABEC1FF F9E3A26E 7FB29F8C 183023C3 587E38DA 0077D9B4 

372 763E4E4B 94B2BBC1 94C6651E 77CAF992 EEAAC023 2A281BF6 

373 B3A739C1 22611682 0AE8DB58 47A67CBE F9C9091B 462D538C 

374 D72B0374 6AE77F5E 62292C31 1562A846 505DC82D B854338A 

375 E49F5235 C95B9117 8CCF2DD5 CACEF403 EC9D1810 C6272B04 

376 5B3B71F9 DC6B80D6 3FDD4A8E 9ADB1E69 62A69526 D43161C1 

377 A41D570D 7938DAD4 A40E329C CFF46AAA 36AD004C F600C838 

378 1E425A31 D951AE64 FDB23FCE C9509D43 687FEB69 EDD1CC5E 

379 0B8CC3BD F64B10EF 86B63142 A3AB8829 555B2F74 7C932665 

380 CB2C0F1C C01BD702 29388839 D2AF05E4 54504AC7 8B758282 

381 2846C0BA 35C35F5C 59160CC0 46FD8251 541FC68C 9C86B022 

382 BB709987 6A460E74 51A8A931 09703FEE 1C217E6C 3826E52C 

383 51AA691E 0E423CFC 99E9E316 50C1217B 624816CD AD9A95F9 

384 D5B80194 88D9C0A0 A1FE3075 A577E231 83F81D4A 3F2FA457 

385 1EFC8CE0 BA8A4FE8 B6855DFE 72B0A66E DED2FBAB FBE58A30 

386 FAFABE1C 5D71A87E 2F741EF8 C1FE86FE A6BBFDE5 30677F0D 

387 97D11D49 F7A8443D 0822E506 A9F4614E 011E2A94 838FF88C 

388 D68C8BB7 C5C6424C FFFFFFFF FFFFFFFF 

389 """) 

390 mLen = 8192 

391 

392 

393_tls_named_ffdh_groups = {256: "ffdhe2048", 257: "ffdhe3072", 

394 258: "ffdhe4096", 259: "ffdhe6144", 

395 260: "ffdhe8192"} 

396 

397_tls_named_curves = {1: "sect163k1", 2: "sect163r1", 3: "sect163r2", 

398 4: "sect193r1", 5: "sect193r2", 6: "sect233k1", 

399 7: "sect233r1", 8: "sect239k1", 9: "sect283k1", 

400 10: "sect283r1", 11: "sect409k1", 12: "sect409r1", 

401 13: "sect571k1", 14: "sect571r1", 15: "secp160k1", 

402 16: "secp160r1", 17: "secp160r2", 18: "secp192k1", 

403 19: "secp192r1", 20: "secp224k1", 21: "secp224r1", 

404 22: "secp256k1", 23: "secp256r1", 24: "secp384r1", 

405 25: "secp521r1", 26: "brainpoolP256r1", 

406 27: "brainpoolP384r1", 28: "brainpoolP512r1", 

407 29: "x25519", 30: "x448", 

408 0xff01: "arbitrary_explicit_prime_curves", 

409 0xff02: "arbitrary_explicit_char2_curves"} 

410 

411_tls_post_quantum_hybrid = { 

412 # https://www.ietf.org/archive/id/draft-kwiatkowski-tls-ecdhe-mlkem-02.html#name-secp256r1mlkem768 

413 0x11EB: "SecP256r1MLKEM768", 

414 # https://www.ietf.org/archive/id/draft-kwiatkowski-tls-ecdhe-mlkem-02.html#name-x25519mlkem768 

415 0x11EC: "X25519MLKEM768", 

416 # https://www.ietf.org/archive/id/draft-tls-westerbaan-xyber768d00-03.html#name-iana-considerations 

417 0x6399: "X25519Kyber768Draft00", 

418} 

419 

420_tls_named_groups = {} 

421_tls_named_groups.update(_tls_named_ffdh_groups) 

422_tls_named_groups.update(_tls_named_curves) 

423_tls_named_groups.update(_tls_post_quantum_hybrid) 

424 

425 

426def _tls_named_groups_import(group, pubbytes): 

427 if group in _tls_named_ffdh_groups: 

428 # https://datatracker.ietf.org/doc/html/rfc8446#section-4.2.8.1 

429 params = _ffdh_groups[_tls_named_ffdh_groups[group]][0] 

430 pn = params.parameter_numbers() 

431 y = bytes_int(pubbytes) 

432 public_numbers = dh.DHPublicNumbers(y, pn) 

433 return public_numbers.public_key(default_backend()) 

434 elif group in _tls_named_curves: 

435 # https://datatracker.ietf.org/doc/html/rfc8446#section-4.2.8.2 

436 if _tls_named_curves[group] in ["x25519", "x448"]: 

437 if conf.crypto_valid_advanced: 

438 if _tls_named_curves[group] == "x25519": 

439 import_point = x25519.X25519PublicKey.from_public_bytes 

440 else: 

441 import_point = x448.X448PublicKey.from_public_bytes 

442 return import_point(pubbytes) 

443 else: 

444 curve = ec._CURVE_TYPES[_tls_named_curves[group]] 

445 try: 

446 # cryptography < 42 

447 curve = curve() 

448 except TypeError: 

449 pass 

450 try: # cryptography >= 2.5 

451 return ec.EllipticCurvePublicKey.from_encoded_point( 

452 curve, 

453 pubbytes 

454 ) 

455 except AttributeError: 

456 pub_num = ec.EllipticCurvePublicNumbers.from_encoded_point( 

457 curve, 

458 pubbytes 

459 ).public_numbers() 

460 return pub_num.public_key(default_backend()) 

461 

462 

463def _tls_named_groups_pubbytes(privkey): 

464 if isinstance(privkey, dh.DHPrivateKey): 

465 # https://datatracker.ietf.org/doc/html/rfc8446#section-4.2.8.1 

466 pubkey = privkey.public_key() 

467 return int_bytes(pubkey.public_numbers().y, privkey.key_size // 8) 

468 elif isinstance(privkey, (x25519.X25519PrivateKey, 

469 x448.X448PrivateKey)): 

470 # https://datatracker.ietf.org/doc/html/rfc8446#section-4.2.8.2 

471 pubkey = privkey.public_key() 

472 return pubkey.public_bytes( 

473 serialization.Encoding.Raw, 

474 serialization.PublicFormat.Raw 

475 ) 

476 else: 

477 pubkey = privkey.public_key() 

478 try: 

479 # cryptography >= 2.5 

480 return pubkey.public_bytes( 

481 serialization.Encoding.X962, 

482 serialization.PublicFormat.UncompressedPoint 

483 ) 

484 except TypeError: 

485 # older versions 

486 return pubkey.public_numbers().encode_point() 

487 

488 

489def _tls_named_groups_generate(group): 

490 if group in _tls_named_ffdh_groups: 

491 params = _ffdh_groups[_tls_named_ffdh_groups[group]][0] 

492 return params.generate_private_key() 

493 elif group in _tls_named_curves: 

494 group_name = _tls_named_curves[group] 

495 if group_name in ["x25519", "x448"]: 

496 if conf.crypto_valid_advanced: 

497 if group_name == "x25519": 

498 return x25519.X25519PrivateKey.generate() 

499 else: 

500 return x448.X448PrivateKey.generate() 

501 else: 

502 warning( 

503 "Your cryptography version doesn't support " + group_name 

504 ) 

505 else: 

506 curve = ec._CURVE_TYPES[_tls_named_curves[group]] 

507 try: 

508 # cryptography < 42 

509 curve = curve() 

510 except TypeError: 

511 pass 

512 return ec.generate_private_key(curve, default_backend()) 

513 

514# Below lies ghost code since the shift from 'ecdsa' to 'cryptography' lib. 

515# Part of the code has been kept, but commented out, in case anyone would like 

516# to improve ECC support in 'cryptography' (namely for the compressed point 

517# format and additional curves). 

518# 

519# Recommended curve parameters from www.secg.org/SEC2-Ver-1.0.pdf 

520# and www.ecc-brainpool.org/download/Domain-parameters.pdf 

521# 

522# 

523# import math 

524# 

525# from scapy.utils import long_converter, binrepr 

526# from scapy.layers.tls.crypto.pkcs1 import pkcs_i2osp, pkcs_os2ip 

527# 

528# 

529# def encode_point(point, point_format=0): 

530# """ 

531# Return a string representation of the Point p, according to point_format. 

532# """ 

533# pLen = len(binrepr(point.curve().p())) 

534# x = pkcs_i2osp(point.x(), math.ceil(pLen/8)) 

535# y = pkcs_i2osp(point.y(), math.ceil(pLen/8)) 

536# if point_format == 0: 

537# frmt = b'\x04' 

538# elif point_format == 1: 

539# frmt = chr(2 + y%2) 

540# y = '' 

541# else: 

542# raise Exception("No support for point_format %d" % point_format) 

543# return frmt + x + y 

544# 

545# 

546# try: 

547# import ecdsa 

548# ecdsa_support = True 

549# except ImportError: 

550# import logging 

551# log_loading = logging.getLogger("scapy.loading") 

552# log_loading.info("Can't import python ecdsa lib. No curves.") 

553# 

554# 

555# if ecdsa_support: 

556# 

557# from ecdsa.ellipticcurve import CurveFp, Point 

558# from ecdsa.curves import Curve 

559# from ecdsa.numbertheory import square_root_mod_prime 

560# 

561# 

562# def extract_coordinates(g, curve): 

563# """ 

564# Return the coordinates x and y as integers, 

565# regardless of the point format of string g. 

566# Second expected parameter is a CurveFp. 

567# """ 

568# p = curve.p() 

569# point_format = g[0] 

570# point = g[1:] 

571# if point_format == b'\x04': 

572# point_len = len(point) 

573# if point_len % 2 != 0: 

574# raise Exception("Point length is not even.") 

575# x_bytes = point[:point_len>>1] 

576# x = pkcs_os2ip(x_bytes) % p 

577# y_bytes = point[point_len>>1:] 

578# y = pkcs_os2ip(y_bytes) % p 

579# elif point_format in [b'\x02', b'\x03']: 

580# x_bytes = point 

581# x = pkcs_os2ip(x_bytes) % p 

582# # perform the y coordinate computation with self.tls_ec 

583# y_square = (x*x*x + curve.a()*x + curve.b()) % p 

584# y = square_root_mod_prime(y_square, p) 

585# y_parity = ord(point_format) % 2 # \x02 means even, \x03 means odd # noqa: E501 

586# if y % 2 != y_parity: 

587# y = -y % p 

588# else: 

589# raise Exception("Point starts with %s. This encoding " 

590# "is not recognized." % repr(point_format)) 

591# if not curve.contains_point(x, y): 

592# raise Exception("The point we extracted does not belong on the curve!") # noqa: E501 

593# return x, y 

594# 

595# def import_curve(p, a, b, g, r, name="dummyName", oid=(1, 3, 132, 0, 0xff)): # noqa: E501 

596# """ 

597# Create an ecdsa.curves.Curve from the usual parameters. 

598# Arguments may be either octet strings or integers, 

599# except g which we expect to be an octet string. 

600# """ 

601# if isinstance(p, str): 

602# p = pkcs_os2ip(p) 

603# if isinstance(a, str): 

604# a = pkcs_os2ip(a) 

605# if isinstance(b, str): 

606# b = pkcs_os2ip(b) 

607# if isinstance(r, str): 

608# r = pkcs_os2ip(r) 

609# curve = CurveFp(p, a, b) 

610# x, y = extract_coordinates(g, curve) 

611# generator = Point(curve, x, y, r) 

612# return Curve(name, curve, generator, oid) 

613 

614# Named curves 

615 

616# We always provide _a as a positive integer. 

617 

618# _p = long_converter(""" 

619# ffffffff ffffffff ffffffff fffffffe ffffac73""") 

620# _a = 0 

621# _b = 7 

622# _Gx = long_converter(""" 

623# 3b4c382c e37aa192 a4019e76 3036f4f5 dd4d7ebb""") 

624# _Gy = long_converter(""" 

625# 938cf935 318fdced 6bc28286 531733c3 f03c4fee""") 

626# _r = long_converter("""01 

627# 00000000 00000000 0001b8fa 16dfab9a ca16b6b3""") 

628# curve = CurveFp(_p, _a, _b) 

629# generator = Point(curve, _Gx, _Gy, _r) 

630# SECP160k1 = Curve("SECP160k1", curve, generator, 

631# (1, 3, 132, 0, 9), "secp160k1") 

632 

633# _p = long_converter(""" 

634# ffffffff ffffffff ffffffff ffffffff 7fffffff""") 

635# _a = -3 % _p 

636# _b = long_converter(""" 

637# 1c97befc 54bd7a8b 65acf89f 81d4d4ad c565fa45""") 

638# _Gx = long_converter(""" 

639# 4a96b568 8ef57328 46646989 68c38bb9 13cbfc82""") 

640# _Gy = long_converter(""" 

641# 23a62855 3168947d 59dcc912 04235137 7ac5fb32""") 

642# _r = long_converter("""01 

643# 00000000 00000000 0001f4c8 f927aed3 ca752257""") 

644# curve = CurveFp(_p, _a, _b) 

645# generator = Point(curve, _Gx, _Gy, _r) 

646# SECP160r1 = Curve("SECP160r1", curve, generator, 

647# (1, 3, 132, 0, 8), "secp160r1") 

648 

649# _p = long_converter(""" 

650# ffffffff ffffffff ffffffff fffffffe ffffac73""") 

651# _a = -3 % _p 

652# _b = long_converter(""" 

653# b4e134d3 fb59eb8b ab572749 04664d5a f50388ba""") 

654# _Gx = long_converter(""" 

655# 52dcb034 293a117e 1f4ff11b 30f7199d 3144ce6d""") 

656# _Gy = long_converter(""" 

657# feaffef2 e331f296 e071fa0d f9982cfe a7d43f2e""") 

658# _r = long_converter("""01 

659# 00000000 00000000 0000351e e786a818 f3a1a16b""") 

660# curve = CurveFp(_p, _a, _b) 

661# generator = Point(curve, _Gx, _Gy, _r) 

662# SECP160r2 = Curve("SECP160r2", curve, generator, 

663# (1, 3, 132, 0, 30), "secp160r2") 

664 

665# _p = long_converter(""" 

666# ffffffff ffffffff ffffffff ffffffff fffffffe ffffee37""") 

667# _a = 0 

668# _b = 3 

669# _Gx = long_converter(""" 

670# db4ff10e c057e9ae 26b07d02 80b7f434 1da5d1b1 eae06c7d""") 

671# _Gy = long_converter(""" 

672# 9b2f2f6d 9c5628a7 844163d0 15be8634 4082aa88 d95e2f9d""") 

673# _r = long_converter(""" 

674# ffffffff ffffffff fffffffe 26f2fc17 0f69466a 74defd8d""") 

675# curve = CurveFp(_p, _a, _b) 

676# generator = Point(curve, _Gx, _Gy, _r) 

677# SECP192k1 = Curve("SECP192k1", curve, generator, 

678# (1, 3, 132, 0, 31), "secp192k1") 

679 

680# _p = long_converter(""" 

681# ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe 

682# ffffe56d""") 

683# _a = 0 

684# _b = 5 

685# _Gx = long_converter(""" 

686# a1455b33 4df099df 30fc28a1 69a467e9 e47075a9 0f7e650e 

687# b6b7a45c""") 

688# _Gy = long_converter(""" 

689# 7e089fed 7fba3442 82cafbd6 f7e319f7 c0b0bd59 e2ca4bdb 

690# 556d61a5""") 

691# _r = long_converter("""01 

692# 00000000 00000000 00000000 0001dce8 d2ec6184 caf0a971 

693# 769fb1f7""") 

694# curve = CurveFp(_p, _a, _b) 

695# generator = Point(curve, _Gx, _Gy, _r) 

696# SECP224k1 = Curve("SECP224k1", curve, generator, 

697# (1, 3, 132, 0, 32), "secp224k1") 

698 

699# _p = long_converter(""" 

700# A9FB57DB A1EEA9BC 3E660A90 9D838D72 6E3BF623 D5262028 

701# 2013481D 1F6E5377""") 

702# _a = long_converter(""" 

703# 7D5A0975 FC2C3057 EEF67530 417AFFE7 FB8055C1 26DC5C6C 

704# E94A4B44 F330B5D9""") 

705# _b = long_converter(""" 

706# 26DC5C6C E94A4B44 F330B5D9 BBD77CBF 95841629 5CF7E1CE 

707# 6BCCDC18 FF8C07B6""") 

708# _Gx = long_converter(""" 

709# 8BD2AEB9 CB7E57CB 2C4B482F FC81B7AF B9DE27E1 E3BD23C2 

710# 3A4453BD 9ACE3262""") 

711# _Gy = long_converter(""" 

712# 547EF835 C3DAC4FD 97F8461A 14611DC9 C2774513 2DED8E54 

713# 5C1D54C7 2F046997""") 

714# _r = long_converter(""" 

715# A9FB57DB A1EEA9BC 3E660A90 9D838D71 8C397AA3 B561A6F7 

716# 901E0E82 974856A7""") 

717# curve = CurveFp(_p, _a, _b) 

718# generator = Point(curve, _Gx, _Gy, _r) 

719# BRNP256r1 = Curve("BRNP256r1", curve, generator, 

720# (1, 3, 36, 3, 3, 2, 8, 1, 1, 7), "brainpoolP256r1") 

721 

722# _p = long_converter(""" 

723# 8CB91E82 A3386D28 0F5D6F7E 50E641DF 152F7109 ED5456B4 

724# 12B1DA19 7FB71123 ACD3A729 901D1A71 87470013 3107EC53""") 

725# _a = long_converter(""" 

726# 7BC382C6 3D8C150C 3C72080A CE05AFA0 C2BEA28E 4FB22787 

727# 139165EF BA91F90F 8AA5814A 503AD4EB 04A8C7DD 22CE2826""") 

728# _b = long_converter(""" 

729# 04A8C7DD 22CE2826 8B39B554 16F0447C 2FB77DE1 07DCD2A6 

730# 2E880EA5 3EEB62D5 7CB43902 95DBC994 3AB78696 FA504C11""") 

731# _Gx = long_converter(""" 

732# 1D1C64F0 68CF45FF A2A63A81 B7C13F6B 8847A3E7 7EF14FE3 

733# DB7FCAFE 0CBD10E8 E826E034 36D646AA EF87B2E2 47D4AF1E""") 

734# _Gy = long_converter(""" 

735# 8ABE1D75 20F9C2A4 5CB1EB8E 95CFD552 62B70B29 FEEC5864 

736# E19C054F F9912928 0E464621 77918111 42820341 263C5315""") 

737# _r = long_converter(""" 

738# 8CB91E82 A3386D28 0F5D6F7E 50E641DF 152F7109 ED5456B3 

739# 1F166E6C AC0425A7 CF3AB6AF 6B7FC310 3B883202 E9046565""") 

740# curve = CurveFp(_p, _a, _b) 

741# generator = Point(curve, _Gx, _Gy, _r) 

742# BRNP384r1 = Curve("BRNP384r1", curve, generator, 

743# (1, 3, 36, 3, 3, 2, 8, 1, 1, 11), "brainpoolP384r1") 

744 

745# _p = long_converter(""" 

746# AADD9DB8 DBE9C48B 3FD4E6AE 33C9FC07 CB308DB3 B3C9D20E 

747# D6639CCA 70330871 7D4D9B00 9BC66842 AECDA12A E6A380E6 

748# 2881FF2F 2D82C685 28AA6056 583A48F3""") 

749# _a = long_converter(""" 

750# 7830A331 8B603B89 E2327145 AC234CC5 94CBDD8D 3DF91610 

751# A83441CA EA9863BC 2DED5D5A A8253AA1 0A2EF1C9 8B9AC8B5 

752# 7F1117A7 2BF2C7B9 E7C1AC4D 77FC94CA""") 

753# _b = long_converter(""" 

754# 3DF91610 A83441CA EA9863BC 2DED5D5A A8253AA1 0A2EF1C9 

755# 8B9AC8B5 7F1117A7 2BF2C7B9 E7C1AC4D 77FC94CA DC083E67 

756# 984050B7 5EBAE5DD 2809BD63 8016F723""") 

757# _Gx = long_converter(""" 

758# 81AEE4BD D82ED964 5A21322E 9C4C6A93 85ED9F70 B5D916C1 

759# B43B62EE F4D0098E FF3B1F78 E2D0D48D 50D1687B 93B97D5F 

760# 7C6D5047 406A5E68 8B352209 BCB9F822""") 

761# _Gy = long_converter(""" 

762# 7DDE385D 566332EC C0EABFA9 CF7822FD F209F700 24A57B1A 

763# A000C55B 881F8111 B2DCDE49 4A5F485E 5BCA4BD8 8A2763AE 

764# D1CA2B2F A8F05406 78CD1E0F 3AD80892""") 

765# _r = long_converter(""" 

766# AADD9DB8 DBE9C48B 3FD4E6AE 33C9FC07 CB308DB3 B3C9D20E 

767# D6639CCA 70330870 553E5C41 4CA92619 41866119 7FAC1047 

768# 1DB1D381 085DDADD B5879682 9CA90069""") 

769# curve = CurveFp(_p, _a, _b) 

770# generator = Point(curve, _Gx, _Gy, _r) 

771# BRNP512r1 = Curve("BRNP512r1", curve, generator, 

772# (1, 3, 36, 3, 3, 2, 8, 1, 1, 13), "brainpoolP512r1")