1 // SPDX-License-Identifier: BSD-2-Clause 2 /* LibTomCrypt, modular cryptographic library -- Tom St Denis 3 * 4 * LibTomCrypt is a library that provides various cryptographic 5 * algorithms in a highly modular and flexible manner. 6 * 7 * The library is free for all purposes without any express 8 * guarantee it works. 9 */ 10 11 #include "tomcrypt_private.h" 12 13 /** 14 @file ecc.c 15 ECC Crypto, Tom St Denis 16 */ 17 18 #ifdef LTC_MECC 19 20 /* This array holds the curve parameters. 21 * Curves (prime field only) are taken from: 22 * - http://www.secg.org/collateral/sec2_final.pdf (named: SECP*) 23 * - http://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.186-4.pdf (named: NISTP*) 24 * - ANS X9.62 (named: PRIMEP*) 25 * - http://www.ecc-brainpool.org/download/Domain-parameters.pdf (named: BRAINPOOLP*) 26 */ 27 const ltc_ecc_curve ltc_ecc_curves[] = { 28 #ifdef LTC_ECC_SECP112R1 29 { 30 /* prime */ "DB7C2ABF62E35E668076BEAD208B", 31 /* A */ "DB7C2ABF62E35E668076BEAD2088", 32 /* B */ "659EF8BA043916EEDE8911702B22", 33 /* order */ "DB7C2ABF62E35E7628DFAC6561C5", 34 /* Gx */ "09487239995A5EE76B55F9C2F098", 35 /* Gy */ "A89CE5AF8724C0A23E0E0FF77500", 36 /* cofactor */ 1, 37 /* OID */ "1.3.132.0.6" 38 }, 39 #endif 40 #ifdef LTC_ECC_SECP112R2 41 { 42 /* prime */ "DB7C2ABF62E35E668076BEAD208B", 43 /* A */ "6127C24C05F38A0AAAF65C0EF02C", 44 /* B */ "51DEF1815DB5ED74FCC34C85D709", 45 /* order */ "36DF0AAFD8B8D7597CA10520D04B", 46 /* Gx */ "4BA30AB5E892B4E1649DD0928643", 47 /* Gy */ "ADCD46F5882E3747DEF36E956E97", 48 /* cofactor */ 4, 49 /* OID */ "1.3.132.0.7" 50 }, 51 #endif 52 #ifdef LTC_ECC_SECP128R1 53 { 54 /* prime */ "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF", 55 /* A */ "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC", 56 /* B */ "E87579C11079F43DD824993C2CEE5ED3", 57 /* order */ "FFFFFFFE0000000075A30D1B9038A115", 58 /* Gx */ "161FF7528B899B2D0C28607CA52C5B86", 59 /* Gy */ "CF5AC8395BAFEB13C02DA292DDED7A83", 60 /* cofactor */ 1, 61 /* OID */ "1.3.132.0.28" 62 }, 63 #endif 64 #ifdef LTC_ECC_SECP128R2 65 { 66 /* prime */ "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF", 67 /* A */ "D6031998D1B3BBFEBF59CC9BBFF9AEE1", 68 /* B */ "5EEEFCA380D02919DC2C6558BB6D8A5D", 69 /* order */ "3FFFFFFF7FFFFFFFBE0024720613B5A3", 70 /* Gx */ "7B6AA5D85E572983E6FB32A7CDEBC140", 71 /* Gy */ "27B6916A894D3AEE7106FE805FC34B44", 72 /* cofactor */ 4, 73 /* OID */ "1.3.132.0.29" 74 }, 75 #endif 76 #ifdef LTC_ECC_SECP160R1 77 { 78 /* prime */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF", 79 /* A */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC", 80 /* B */ "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45", 81 /* order */ "0100000000000000000001F4C8F927AED3CA752257", 82 /* Gx */ "4A96B5688EF573284664698968C38BB913CBFC82", 83 /* Gy */ "23A628553168947D59DCC912042351377AC5FB32", 84 /* cofactor */ 1, 85 /* OID */ "1.3.132.0.8" 86 }, 87 #endif 88 #ifdef LTC_ECC_SECP160R2 89 { 90 /* prime */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", 91 /* A */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70", 92 /* B */ "B4E134D3FB59EB8BAB57274904664D5AF50388BA", 93 /* order */ "0100000000000000000000351EE786A818F3A1A16B", 94 /* Gx */ "52DCB034293A117E1F4FF11B30F7199D3144CE6D", 95 /* Gy */ "FEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E", 96 /* cofactor */ 1, 97 /* OID */ "1.3.132.0.30" 98 }, 99 #endif 100 #ifdef LTC_ECC_SECP160K1 101 { 102 /* prime */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", 103 /* A */ "0000000000000000000000000000000000000000", 104 /* B */ "0000000000000000000000000000000000000007", 105 /* order */ "0100000000000000000001B8FA16DFAB9ACA16B6B3", 106 /* Gx */ "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB", 107 /* Gy */ "938CF935318FDCED6BC28286531733C3F03C4FEE", 108 /* cofactor */ 1, 109 /* OID */ "1.3.132.0.9" 110 }, 111 #endif 112 #ifdef LTC_ECC_SECP192R1 113 { 114 /* prime */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", 115 /* A */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", 116 /* B */ "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1", 117 /* order */ "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831", 118 /* Gx */ "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012", 119 /* Gy */ "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811", 120 /* cofactor */ 1, 121 /* OID */ "1.2.840.10045.3.1.1" 122 }, 123 #endif 124 #ifdef LTC_ECC_PRIME192V2 125 { 126 /* prime */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", 127 /* A */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", 128 /* B */ "CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953", 129 /* order */ "FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31", 130 /* Gx */ "EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A", 131 /* Gy */ "6574D11D69B6EC7A672BB82A083DF2F2B0847DE970B2DE15", 132 /* cofactor */ 1, 133 /* OID */ "1.2.840.10045.3.1.2" 134 }, 135 #endif 136 #ifdef LTC_ECC_PRIME192V3 137 { 138 /* prime */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", 139 /* A */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", 140 /* B */ "22123DC2395A05CAA7423DAECCC94760A7D462256BD56916", 141 /* order */ "FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13", 142 /* Gx */ "7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896", 143 /* Gy */ "38A90F22637337334B49DCB66A6DC8F9978ACA7648A943B0", 144 /* cofactor */ 1, 145 /* OID */ "1.2.840.10045.3.1.3" 146 }, 147 #endif 148 #ifdef LTC_ECC_SECP192K1 149 { 150 /* prime */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37", 151 /* A */ "000000000000000000000000000000000000000000000000", 152 /* B */ "000000000000000000000000000000000000000000000003", 153 /* order */ "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D", 154 /* Gx */ "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D", 155 /* Gy */ "9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D", 156 /* cofactor */ 1, 157 /* OID */ "1.3.132.0.31" 158 }, 159 #endif 160 #ifdef LTC_ECC_SECP224R1 161 { 162 /* prime */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", 163 /* A */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", 164 /* B */ "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", 165 /* order */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 166 /* Gx */ "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", 167 /* Gy */ "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", 168 /* cofactor */ 1, 169 /* OID */ "1.3.132.0.33" 170 }, 171 #endif 172 #ifdef LTC_ECC_SECP224K1 173 { 174 /* prime */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D", 175 /* A */ "00000000000000000000000000000000000000000000000000000000", 176 /* B */ "00000000000000000000000000000000000000000000000000000005", 177 /* order */ "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7", 178 /* Gx */ "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C", 179 /* Gy */ "7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5", 180 /* cofactor */ 1, 181 /* OID */ "1.3.132.0.32" 182 }, 183 #endif 184 #ifdef LTC_ECC_SECP256R1 185 { 186 /* prime */ "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF", 187 /* A */ "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC", 188 /* B */ "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B", 189 /* order */ "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551", 190 /* Gx */ "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296", 191 /* Gy */ "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5", 192 /* cofactor */ 1, 193 /* OID */ "1.2.840.10045.3.1.7" 194 }, 195 #endif 196 #ifdef LTC_ECC_SECP256K1 197 { 198 /* prime */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F", 199 /* A */ "0000000000000000000000000000000000000000000000000000000000000000", 200 /* B */ "0000000000000000000000000000000000000000000000000000000000000007", 201 /* order */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141", 202 /* Gx */ "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798", 203 /* Gy */ "483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8", 204 /* cofactor */ 1, 205 /* OID */ "1.3.132.0.10" 206 }, 207 #endif 208 #ifdef LTC_ECC_SECP384R1 209 { 210 /* prime */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF", 211 /* A */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC", 212 /* B */ "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF", 213 /* order */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973", 214 /* Gx */ "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7", 215 /* Gy */ "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F", 216 /* cofactor */ 1, 217 /* OID */ "1.3.132.0.34" 218 }, 219 #endif 220 #ifdef LTC_ECC_SECP521R1 221 { 222 /* prime */ "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 223 /* A */ "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC", 224 /* B */ "0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00", 225 /* order */ "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409", 226 /* Gx */ "00C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66", 227 /* Gy */ "011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650", 228 /* cofactor */ 1, 229 /* OID */ "1.3.132.0.35" 230 }, 231 #endif 232 #ifdef LTC_ECC_PRIME239V1 233 { 234 /* prime */ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", 235 /* A */ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", 236 /* B */ "6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A", 237 /* order */ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B", 238 /* Gx */ "0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF", 239 /* Gy */ "7DEBE8E4E90A5DAE6E4054CA530BA04654B36818CE226B39FCCB7B02F1AE", 240 /* cofactor */ 1, 241 /* OID */ "1.2.840.10045.3.1.4" 242 }, 243 #endif 244 #ifdef LTC_ECC_PRIME239V2 245 { 246 /* prime */ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", 247 /* A */ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", 248 /* B */ "617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C", 249 /* order */ "7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063", 250 /* Gx */ "38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7", 251 /* Gy */ "5B0125E4DBEA0EC7206DA0FC01D9B081329FB555DE6EF460237DFF8BE4BA", 252 /* cofactor */ 1, 253 /* OID */ "1.2.840.10045.3.1.5" 254 }, 255 #endif 256 #ifdef LTC_ECC_PRIME239V3 257 { 258 /* prime */ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", 259 /* A */ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", 260 /* B */ "255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E", 261 /* order */ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551", 262 /* Gx */ "6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A", 263 /* Gy */ "1607E6898F390C06BC1D552BAD226F3B6FCFE48B6E818499AF18E3ED6CF3", 264 /* cofactor */ 1, 265 /* OID */ "1.2.840.10045.3.1.6" 266 }, 267 #endif 268 #ifdef LTC_ECC_BRAINPOOLP160R1 269 { 270 /* prime */ "E95E4A5F737059DC60DFC7AD95B3D8139515620F", 271 /* A */ "340E7BE2A280EB74E2BE61BADA745D97E8F7C300", 272 /* B */ "1E589A8595423412134FAA2DBDEC95C8D8675E58", 273 /* order */ "E95E4A5F737059DC60DF5991D45029409E60FC09", 274 /* Gx */ "BED5AF16EA3F6A4F62938C4631EB5AF7BDBCDBC3", 275 /* Gy */ "1667CB477A1A8EC338F94741669C976316DA6321", 276 /* cofactor */ 1, 277 /* OID */ "1.3.36.3.3.2.8.1.1.1" 278 }, 279 #endif 280 #ifdef LTC_ECC_BRAINPOOLP192R1 281 { 282 /* prime */ "C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297", 283 /* A */ "6A91174076B1E0E19C39C031FE8685C1CAE040E5C69A28EF", 284 /* B */ "469A28EF7C28CCA3DC721D044F4496BCCA7EF4146FBF25C9", 285 /* order */ "C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1", 286 /* Gx */ "C0A0647EAAB6A48753B033C56CB0F0900A2F5C4853375FD6", 287 /* Gy */ "14B690866ABD5BB88B5F4828C1490002E6773FA2FA299B8F", 288 /* cofactor */ 1, 289 /* OID */ "1.3.36.3.3.2.8.1.1.3" 290 }, 291 #endif 292 #ifdef LTC_ECC_BRAINPOOLP224R1 293 { 294 /* prime */ "D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF", 295 /* A */ "68A5E62CA9CE6C1C299803A6C1530B514E182AD8B0042A59CAD29F43", 296 /* B */ "2580F63CCFE44138870713B1A92369E33E2135D266DBB372386C400B", 297 /* order */ "D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F", 298 /* Gx */ "0D9029AD2C7E5CF4340823B2A87DC68C9E4CE3174C1E6EFDEE12C07D", 299 /* Gy */ "58AA56F772C0726F24C6B89E4ECDAC24354B9E99CAA3F6D3761402CD", 300 /* cofactor */ 1, 301 /* OID */ "1.3.36.3.3.2.8.1.1.5" 302 }, 303 #endif 304 #ifdef LTC_ECC_BRAINPOOLP256R1 305 { 306 /* prime */ "A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377", 307 /* A */ "7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9", 308 /* B */ "26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6", 309 /* order */ "A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7", 310 /* Gx */ "8BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262", 311 /* Gy */ "547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997", 312 /* cofactor */ 1, 313 /* OID */ "1.3.36.3.3.2.8.1.1.7" 314 }, 315 #endif 316 #ifdef LTC_ECC_BRAINPOOLP320R1 317 { 318 /* prime */ "D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28FCD412B1F1B32E27", 319 /* A */ "3EE30B568FBAB0F883CCEBD46D3F3BB8A2A73513F5EB79DA66190EB085FFA9F492F375A97D860EB4", 320 /* B */ "520883949DFDBC42D3AD198640688A6FE13F41349554B49ACC31DCCD884539816F5EB4AC8FB1F1A6", 321 /* order */ "D35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D482EC7EE8658E98691555B44C59311", 322 /* Gx */ "43BD7E9AFB53D8B85289BCC48EE5BFE6F20137D10A087EB6E7871E2A10A599C710AF8D0D39E20611", 323 /* Gy */ "14FDD05545EC1CC8AB4093247F77275E0743FFED117182EAA9C77877AAAC6AC7D35245D1692E8EE1", 324 /* cofactor */ 1, 325 /* OID */ "1.3.36.3.3.2.8.1.1.9" 326 }, 327 #endif 328 #ifdef LTC_ECC_BRAINPOOLP384R1 329 { 330 /* prime */ "8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901D1A71874700133107EC53", 331 /* A */ "7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F90F8AA5814A503AD4EB04A8C7DD22CE2826", 332 /* B */ "04A8C7DD22CE28268B39B55416F0447C2FB77DE107DCD2A62E880EA53EEB62D57CB4390295DBC9943AB78696FA504C11", 333 /* order */ "8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7CF3AB6AF6B7FC3103B883202E9046565", 334 /* Gx */ "1D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10E8E826E03436D646AAEF87B2E247D4AF1E", 335 /* Gy */ "8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF99129280E4646217791811142820341263C5315", 336 /* cofactor */ 1, 337 /* OID */ "1.3.36.3.3.2.8.1.1.11" 338 }, 339 #endif 340 #ifdef LTC_ECC_BRAINPOOLP512R1 341 { 342 /* prime */ "AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3", 343 /* A */ "7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CA", 344 /* B */ "3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016F723", 345 /* order */ "AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069", 346 /* Gx */ "81AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D0098EFF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F822", 347 /* Gy */ "7DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F8111B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892", 348 /* cofactor */ 1, 349 /* OID */ "1.3.36.3.3.2.8.1.1.13" 350 }, 351 #endif 352 #ifdef LTC_ECC_BRAINPOOLP160T1 353 { 354 /* prime */ "E95E4A5F737059DC60DFC7AD95B3D8139515620F", 355 /* A */ "E95E4A5F737059DC60DFC7AD95B3D8139515620C", 356 /* B */ "7A556B6DAE535B7B51ED2C4D7DAA7A0B5C55F380", 357 /* order */ "E95E4A5F737059DC60DF5991D45029409E60FC09", 358 /* Gx */ "B199B13B9B34EFC1397E64BAEB05ACC265FF2378", 359 /* Gy */ "ADD6718B7C7C1961F0991B842443772152C9E0AD", 360 /* cofactor */ 1, 361 /* OID */ "1.3.36.3.3.2.8.1.1.2" 362 }, 363 #endif 364 #ifdef LTC_ECC_BRAINPOOLP192T1 365 { 366 /* prime */ "C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297", 367 /* A */ "C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86294", 368 /* B */ "13D56FFAEC78681E68F9DEB43B35BEC2FB68542E27897B79", 369 /* order */ "C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1", 370 /* Gx */ "3AE9E58C82F63C30282E1FE7BBF43FA72C446AF6F4618129", 371 /* Gy */ "097E2C5667C2223A902AB5CA449D0084B7E5B3DE7CCC01C9", 372 /* cofactor */ 1, 373 /* OID */ "1.3.36.3.3.2.8.1.1.4" 374 }, 375 #endif 376 #ifdef LTC_ECC_BRAINPOOLP224T1 377 { 378 /* prime */ "D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF", 379 /* A */ "D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FC", 380 /* B */ "4B337D934104CD7BEF271BF60CED1ED20DA14C08B3BB64F18A60888D", 381 /* order */ "D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F", 382 /* Gx */ "6AB1E344CE25FF3896424E7FFE14762ECB49F8928AC0C76029B4D580", 383 /* Gy */ "0374E9F5143E568CD23F3F4D7C0D4B1E41C8CC0D1C6ABD5F1A46DB4C", 384 /* cofactor */ 1, 385 /* OID */ "1.3.36.3.3.2.8.1.1.6" 386 }, 387 #endif 388 #ifdef LTC_ECC_BRAINPOOLP256T1 389 { 390 /* prime */ "A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377", 391 /* A */ "A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5374", 392 /* B */ "662C61C430D84EA4FE66A7733D0B76B7BF93EBC4AF2F49256AE58101FEE92B04", 393 /* order */ "A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7", 394 /* Gx */ "A3E8EB3CC1CFE7B7732213B23A656149AFA142C47AAFBC2B79A191562E1305F4", 395 /* Gy */ "2D996C823439C56D7F7B22E14644417E69BCB6DE39D027001DABE8F35B25C9BE", 396 /* cofactor */ 1, 397 /* OID */ "1.3.36.3.3.2.8.1.1.8" 398 }, 399 #endif 400 #ifdef LTC_ECC_BRAINPOOLP320T1 401 { 402 /* prime */ "D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28FCD412B1F1B32E27", 403 /* A */ "D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28FCD412B1F1B32E24", 404 /* B */ "A7F561E038EB1ED560B3D147DB782013064C19F27ED27C6780AAF77FB8A547CEB5B4FEF422340353", 405 /* order */ "D35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D482EC7EE8658E98691555B44C59311", 406 /* Gx */ "925BE9FB01AFC6FB4D3E7D4990010F813408AB106C4F09CB7EE07868CC136FFF3357F624A21BED52", 407 /* Gy */ "63BA3A7A27483EBF6671DBEF7ABB30EBEE084E58A0B077AD42A5A0989D1EE71B1B9BC0455FB0D2C3", 408 /* cofactor */ 1, 409 /* OID */ "1.3.36.3.3.2.8.1.1.10" 410 }, 411 #endif 412 #ifdef LTC_ECC_BRAINPOOLP384T1 413 { 414 /* prime */ "8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901D1A71874700133107EC53", 415 /* A */ "8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901D1A71874700133107EC50", 416 /* B */ "7F519EADA7BDA81BD826DBA647910F8C4B9346ED8CCDC64E4B1ABD11756DCE1D2074AA263B88805CED70355A33B471EE", 417 /* order */ "8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7CF3AB6AF6B7FC3103B883202E9046565", 418 /* Gx */ "18DE98B02DB9A306F2AFCD7235F72A819B80AB12EBD653172476FECD462AABFFC4FF191B946A5F54D8D0AA2F418808CC", 419 /* Gy */ "25AB056962D30651A114AFD2755AD336747F93475B7A1FCA3B88F2B6A208CCFE469408584DC2B2912675BF5B9E582928", 420 /* cofactor */ 1, 421 /* OID */ "1.3.36.3.3.2.8.1.1.12" 422 }, 423 #endif 424 #ifdef LTC_ECC_BRAINPOOLP512T1 425 { 426 /* prime */ "AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3", 427 /* A */ "AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F0", 428 /* B */ "7CBBBCF9441CFAB76E1890E46884EAE321F70C0BCB4981527897504BEC3E36A62BCDFA2304976540F6450085F2DAE145C22553B465763689180EA2571867423E", 429 /* order */ "AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069", 430 /* Gx */ "640ECE5C12788717B9C1BA06CBC2A6FEBA85842458C56DDE9DB1758D39C0313D82BA51735CDB3EA499AA77A7D6943A64F7A3F25FE26F06B51BAA2696FA9035DA", 431 /* Gy */ "5B534BD595F5AF0FA2C892376C84ACE1BB4E3019B71634C01131159CAE03CEE9D9932184BEEF216BD71DF2DADF86A627306ECFF96DBB8BACE198B61E00F8B332", 432 /* cofactor */ 1, 433 /* OID */ "1.3.36.3.3.2.8.1.1.14" 434 }, 435 #endif 436 #ifdef LTC_ECC_SM2 437 { 438 /* prime */ "FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFF", 439 /* A */ "FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFC", 440 /* B */ "28E9FA9E9D9F5E344D5A9E4BCF6509A7F39789F515AB8F92DDBCBD414D940E93", 441 /* order */ "FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFF7203DF6B21C6052B53BBF40939D54123", 442 /* Gx */ "32C4AE2C1F1981195F9904466A39C9948FE30BBFF2660BE1715A4589334C74C7", 443 /* Gy */ "BC3736A2F4F6779C59BDCEE36B692153D0A9877CC62A474002DF32E52139F0A0", 444 /* cofactor */ 1, 445 /* OID */ "1.2.156.10197.1.301" 446 }, 447 #endif 448 { 449 NULL, NULL, NULL, NULL, NULL, NULL, 0, NULL 450 } 451 }; 452 453 #endif 454 455 /* ref: $Format:%D$ */ 456 /* git commit: $Format:%H$ */ 457 /* commit time: $Format:%ai$ */ 458 459