1/* crypto/ec/ec_curve.c */ 2/* 3 * Written by Nils Larsch for the OpenSSL project. 4 */ 5/* ==================================================================== 6 * Copyright (c) 1998-2004 The OpenSSL Project. All rights reserved. 7 * 8 * Redistribution and use in source and binary forms, with or without 9 * modification, are permitted provided that the following conditions 10 * are met: 11 * 12 * 1. Redistributions of source code must retain the above copyright 13 * notice, this list of conditions and the following disclaimer. 14 * 15 * 2. Redistributions in binary form must reproduce the above copyright 16 * notice, this list of conditions and the following disclaimer in 17 * the documentation and/or other materials provided with the 18 * distribution. 19 * 20 * 3. All advertising materials mentioning features or use of this 21 * software must display the following acknowledgment: 22 * "This product includes software developed by the OpenSSL Project 23 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" 24 * 25 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to 26 * endorse or promote products derived from this software without 27 * prior written permission. For written permission, please contact 28 * openssl-core@openssl.org. 29 * 30 * 5. Products derived from this software may not be called "OpenSSL" 31 * nor may "OpenSSL" appear in their names without prior written 32 * permission of the OpenSSL Project. 33 * 34 * 6. Redistributions of any form whatsoever must retain the following 35 * acknowledgment: 36 * "This product includes software developed by the OpenSSL Project 37 * for use in the OpenSSL Toolkit (http://www.openssl.org/)" 38 * 39 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY 40 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 41 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 42 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR 43 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 44 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 45 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 46 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, 48 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 49 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED 50 * OF THE POSSIBILITY OF SUCH DAMAGE. 51 * ==================================================================== 52 * 53 * This product includes cryptographic software written by Eric Young 54 * (eay@cryptsoft.com). This product includes software written by Tim 55 * Hudson (tjh@cryptsoft.com). 56 * 57 */ 58/* ==================================================================== 59 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. 60 * 61 * Portions of the attached software ("Contribution") are developed by 62 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. 63 * 64 * The Contribution is licensed pursuant to the OpenSSL open source 65 * license provided above. 66 * 67 * The elliptic curve binary polynomial software is originally written by 68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. 69 * 70 */ 71 72#include "ec_lcl.h" 73#include <openssl/err.h> 74#include <openssl/obj_mac.h> 75 76typedef struct ec_curve_data_st { 77 int field_type; /* either NID_X9_62_prime_field or 78 * NID_X9_62_characteristic_two_field */ 79 const char *p; /* either a prime number or a polynomial */ 80 const char *a; 81 const char *b; 82 const char *x; /* the x coordinate of the generator */ 83 const char *y; /* the y coordinate of the generator */ 84 const char *order; /* the order of the group generated by the 85 * generator */ 86 const BN_ULONG cofactor;/* the cofactor */ 87 const unsigned char *seed;/* the seed (optional) */ 88 size_t seed_len; 89 const char *comment; /* a short description of the curve */ 90} EC_CURVE_DATA; 91 92/* the nist prime curves */ 93static const unsigned char _EC_NIST_PRIME_192_SEED[] = { 94 0x30,0x45,0xAE,0x6F,0xC8,0x42,0x2F,0x64,0xED,0x57, 95 0x95,0x28,0xD3,0x81,0x20,0xEA,0xE1,0x21,0x96,0xD5}; 96static const EC_CURVE_DATA _EC_NIST_PRIME_192 = { 97 NID_X9_62_prime_field, 98 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", 99 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", 100 "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1", 101 "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012", 102 "07192b95ffc8da78631011ed6b24cdd573f977a11e794811", 103 "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",1, 104 _EC_NIST_PRIME_192_SEED, 20, 105 "NIST/X9.62/SECG curve over a 192 bit prime field" 106 }; 107 108static const unsigned char _EC_NIST_PRIME_224_SEED[] = { 109 0xBD,0x71,0x34,0x47,0x99,0xD5,0xC7,0xFC,0xDC,0x45, 110 0xB5,0x9F,0xA3,0xB9,0xAB,0x8F,0x6A,0x94,0x8B,0xC5}; 111static const EC_CURVE_DATA _EC_NIST_PRIME_224 = { 112 NID_X9_62_prime_field, 113 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", 114 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", 115 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", 116 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", 117 "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34", 118 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",1, 119 _EC_NIST_PRIME_224_SEED, 20, 120 "NIST/SECG curve over a 224 bit prime field" 121 }; 122 123static const unsigned char _EC_NIST_PRIME_384_SEED[] = { 124 0xA3,0x35,0x92,0x6A,0xA3,0x19,0xA2,0x7A,0x1D,0x00, 125 0x89,0x6A,0x67,0x73,0xA4,0x82,0x7A,0xCD,0xAC,0x73}; 126static const EC_CURVE_DATA _EC_NIST_PRIME_384 = { 127 NID_X9_62_prime_field, 128 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF" 129 "FFF0000000000000000FFFFFFFF", 130 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF" 131 "FFF0000000000000000FFFFFFFC", 132 "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC6563" 133 "98D8A2ED19D2A85C8EDD3EC2AEF", 134 "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F" 135 "25DBF55296C3A545E3872760AB7", 136 "3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b" 137 "1ce1d7e819d7a431d7c90ea0e5f", 138 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0" 139 "DB248B0A77AECEC196ACCC52973",1, 140 _EC_NIST_PRIME_384_SEED, 20, 141 "NIST/SECG curve over a 384 bit prime field" 142 }; 143 144static const unsigned char _EC_NIST_PRIME_521_SEED[] = { 145 0xD0,0x9E,0x88,0x00,0x29,0x1C,0xB8,0x53,0x96,0xCC, 146 0x67,0x17,0x39,0x32,0x84,0xAA,0xA0,0xDA,0x64,0xBA}; 147static const EC_CURVE_DATA _EC_NIST_PRIME_521 = { 148 NID_X9_62_prime_field, 149 "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 150 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 151 "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 152 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC", 153 "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156" 154 "193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00", 155 "C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14" 156 "B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66", 157 "011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c9" 158 "7ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", 159 "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51" 160 "868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",1, 161 _EC_NIST_PRIME_521_SEED, 20, 162 "NIST/SECG curve over a 521 bit prime field" 163 }; 164/* the x9.62 prime curves (minus the nist prime curves) */ 165static const unsigned char _EC_X9_62_PRIME_192V2_SEED[] = { 166 0x31,0xA9,0x2E,0xE2,0x02,0x9F,0xD1,0x0D,0x90,0x1B, 167 0x11,0x3E,0x99,0x07,0x10,0xF0,0xD2,0x1A,0xC6,0xB6}; 168static const EC_CURVE_DATA _EC_X9_62_PRIME_192V2 = { 169 NID_X9_62_prime_field, 170 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", 171 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", 172 "CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953", 173 "EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A", 174 "6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15", 175 "FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31",1, 176 _EC_X9_62_PRIME_192V2_SEED, 20, 177 "X9.62 curve over a 192 bit prime field" 178 }; 179 180static const unsigned char _EC_X9_62_PRIME_192V3_SEED[] = { 181 0xC4,0x69,0x68,0x44,0x35,0xDE,0xB3,0x78,0xC4,0xB6, 182 0x5C,0xA9,0x59,0x1E,0x2A,0x57,0x63,0x05,0x9A,0x2E}; 183static const EC_CURVE_DATA _EC_X9_62_PRIME_192V3 = { 184 NID_X9_62_prime_field, 185 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", 186 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", 187 "22123DC2395A05CAA7423DAECCC94760A7D462256BD56916", 188 "7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896", 189 "38a90f22637337334b49dcb66a6dc8f9978aca7648a943b0", 190 "FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13",1, 191 _EC_X9_62_PRIME_192V3_SEED, 20, 192 "X9.62 curve over a 192 bit prime field" 193 }; 194 195static const unsigned char _EC_X9_62_PRIME_239V1_SEED[] = { 196 0xE4,0x3B,0xB4,0x60,0xF0,0xB8,0x0C,0xC0,0xC0,0xB0, 197 0x75,0x79,0x8E,0x94,0x80,0x60,0xF8,0x32,0x1B,0x7D}; 198static const EC_CURVE_DATA _EC_X9_62_PRIME_239V1 = { 199 NID_X9_62_prime_field, 200 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", 201 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", 202 "6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A", 203 "0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF", 204 "7debe8e4e90a5dae6e4054ca530ba04654b36818ce226b39fccb7b02f1ae", 205 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B",1, 206 _EC_X9_62_PRIME_239V1_SEED, 20, 207 "X9.62 curve over a 239 bit prime field" 208 }; 209 210static const unsigned char _EC_X9_62_PRIME_239V2_SEED[] = { 211 0xE8,0xB4,0x01,0x16,0x04,0x09,0x53,0x03,0xCA,0x3B, 212 0x80,0x99,0x98,0x2B,0xE0,0x9F,0xCB,0x9A,0xE6,0x16}; 213static const EC_CURVE_DATA _EC_X9_62_PRIME_239V2 = { 214 NID_X9_62_prime_field, 215 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", 216 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", 217 "617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C", 218 "38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7", 219 "5b0125e4dbea0ec7206da0fc01d9b081329fb555de6ef460237dff8be4ba", 220 "7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063",1, 221 _EC_X9_62_PRIME_239V2_SEED, 20, 222 "X9.62 curve over a 239 bit prime field" 223 }; 224 225static const unsigned char _EC_X9_62_PRIME_239V3_SEED[] = { 226 0x7D,0x73,0x74,0x16,0x8F,0xFE,0x34,0x71,0xB6,0x0A, 227 0x85,0x76,0x86,0xA1,0x94,0x75,0xD3,0xBF,0xA2,0xFF}; 228static const EC_CURVE_DATA _EC_X9_62_PRIME_239V3 = { 229 NID_X9_62_prime_field, 230 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", 231 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", 232 "255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E", 233 "6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A", 234 "1607e6898f390c06bc1d552bad226f3b6fcfe48b6e818499af18e3ed6cf3", 235 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551",1, 236 _EC_X9_62_PRIME_239V3_SEED, 20, 237 "X9.62 curve over a 239 bit prime field" 238 }; 239 240static const unsigned char _EC_X9_62_PRIME_256V1_SEED[] = { 241 0xC4,0x9D,0x36,0x08,0x86,0xE7,0x04,0x93,0x6A,0x66, 242 0x78,0xE1,0x13,0x9D,0x26,0xB7,0x81,0x9F,0x7E,0x90}; 243static const EC_CURVE_DATA _EC_X9_62_PRIME_256V1 = { 244 NID_X9_62_prime_field, 245 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF", 246 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC", 247 "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B", 248 "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296", 249 "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", 250 "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",1, 251 _EC_X9_62_PRIME_256V1_SEED, 20, 252 "X9.62/SECG curve over a 256 bit prime field" 253 }; 254/* the secg prime curves (minus the nist and x9.62 prime curves) */ 255static const unsigned char _EC_SECG_PRIME_112R1_SEED[] = { 256 0x00,0xF5,0x0B,0x02,0x8E,0x4D,0x69,0x6E,0x67,0x68, 257 0x75,0x61,0x51,0x75,0x29,0x04,0x72,0x78,0x3F,0xB1}; 258static const EC_CURVE_DATA _EC_SECG_PRIME_112R1 = { 259 NID_X9_62_prime_field, 260 "DB7C2ABF62E35E668076BEAD208B", 261 "DB7C2ABF62E35E668076BEAD2088", 262 "659EF8BA043916EEDE8911702B22", 263 "09487239995A5EE76B55F9C2F098", 264 "a89ce5af8724c0a23e0e0ff77500", 265 "DB7C2ABF62E35E7628DFAC6561C5",1, 266 _EC_SECG_PRIME_112R1_SEED, 20, 267 "SECG/WTLS curve over a 112 bit prime field" 268 }; 269 270static const unsigned char _EC_SECG_PRIME_112R2_SEED[] = { 271 0x00,0x27,0x57,0xA1,0x11,0x4D,0x69,0x6E,0x67,0x68, 272 0x75,0x61,0x51,0x75,0x53,0x16,0xC0,0x5E,0x0B,0xD4}; 273static const EC_CURVE_DATA _EC_SECG_PRIME_112R2 = { 274 NID_X9_62_prime_field, 275 "DB7C2ABF62E35E668076BEAD208B", 276 "6127C24C05F38A0AAAF65C0EF02C", 277 "51DEF1815DB5ED74FCC34C85D709", 278 "4BA30AB5E892B4E1649DD0928643", 279 "adcd46f5882e3747def36e956e97", 280 "36DF0AAFD8B8D7597CA10520D04B",4, 281 _EC_SECG_PRIME_112R2_SEED, 20, 282 "SECG curve over a 112 bit prime field" 283 }; 284 285static const unsigned char _EC_SECG_PRIME_128R1_SEED[] = { 286 0x00,0x0E,0x0D,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61, 287 0x51,0x75,0x0C,0xC0,0x3A,0x44,0x73,0xD0,0x36,0x79}; 288static const EC_CURVE_DATA _EC_SECG_PRIME_128R1 = { 289 NID_X9_62_prime_field, 290 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF", 291 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC", 292 "E87579C11079F43DD824993C2CEE5ED3", 293 "161FF7528B899B2D0C28607CA52C5B86", 294 "cf5ac8395bafeb13c02da292dded7a83", 295 "FFFFFFFE0000000075A30D1B9038A115",1, 296 _EC_SECG_PRIME_128R1_SEED, 20, 297 "SECG curve over a 128 bit prime field" 298 }; 299 300static const unsigned char _EC_SECG_PRIME_128R2_SEED[] = { 301 0x00,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75, 302 0x12,0xD8,0xF0,0x34,0x31,0xFC,0xE6,0x3B,0x88,0xF4}; 303static const EC_CURVE_DATA _EC_SECG_PRIME_128R2 = { 304 NID_X9_62_prime_field, 305 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF", 306 "D6031998D1B3BBFEBF59CC9BBFF9AEE1", 307 "5EEEFCA380D02919DC2C6558BB6D8A5D", 308 "7B6AA5D85E572983E6FB32A7CDEBC140", 309 "27b6916a894d3aee7106fe805fc34b44", 310 "3FFFFFFF7FFFFFFFBE0024720613B5A3",4, 311 _EC_SECG_PRIME_128R2_SEED, 20, 312 "SECG curve over a 128 bit prime field" 313 }; 314 315static const EC_CURVE_DATA _EC_SECG_PRIME_160K1 = { 316 NID_X9_62_prime_field, 317 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", 318 "0", 319 "7", 320 "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB", 321 "938cf935318fdced6bc28286531733c3f03c4fee", 322 "0100000000000000000001B8FA16DFAB9ACA16B6B3",1, 323 NULL, 0, 324 "SECG curve over a 160 bit prime field" 325 }; 326 327static const unsigned char _EC_SECG_PRIME_160R1_SEED[] = { 328 0x10,0x53,0xCD,0xE4,0x2C,0x14,0xD6,0x96,0xE6,0x76, 329 0x87,0x56,0x15,0x17,0x53,0x3B,0xF3,0xF8,0x33,0x45}; 330static const EC_CURVE_DATA _EC_SECG_PRIME_160R1 = { 331 NID_X9_62_prime_field, 332 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF", 333 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC", 334 "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45", 335 "4A96B5688EF573284664698968C38BB913CBFC82", 336 "23a628553168947d59dcc912042351377ac5fb32", 337 "0100000000000000000001F4C8F927AED3CA752257",1, 338 _EC_SECG_PRIME_160R1_SEED, 20, 339 "SECG curve over a 160 bit prime field" 340 }; 341 342static const unsigned char _EC_SECG_PRIME_160R2_SEED[] = { 343 0xB9,0x9B,0x99,0xB0,0x99,0xB3,0x23,0xE0,0x27,0x09, 344 0xA4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x51}; 345static const EC_CURVE_DATA _EC_SECG_PRIME_160R2 = { 346 NID_X9_62_prime_field, 347 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", 348 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70", 349 "B4E134D3FB59EB8BAB57274904664D5AF50388BA", 350 "52DCB034293A117E1F4FF11B30F7199D3144CE6D", 351 "feaffef2e331f296e071fa0df9982cfea7d43f2e", 352 "0100000000000000000000351EE786A818F3A1A16B",1, 353 _EC_SECG_PRIME_160R2_SEED, 20, 354 "SECG/WTLS curve over a 160 bit prime field" 355 }; 356 357static const EC_CURVE_DATA _EC_SECG_PRIME_192K1 = { 358 NID_X9_62_prime_field, 359 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37", 360 "0", 361 "3", 362 "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D", 363 "9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d", 364 "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",1, 365 NULL, 20, 366 "SECG curve over a 192 bit prime field" 367 }; 368 369static const EC_CURVE_DATA _EC_SECG_PRIME_224K1 = { 370 NID_X9_62_prime_field, 371 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D", 372 "0", 373 "5", 374 "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C", 375 "7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5", 376 "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",1, 377 NULL, 20, 378 "SECG curve over a 224 bit prime field" 379 }; 380 381static const EC_CURVE_DATA _EC_SECG_PRIME_256K1 = { 382 NID_X9_62_prime_field, 383 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F", 384 "0", 385 "7", 386 "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798", 387 "483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8", 388 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",1, 389 NULL, 20, 390 "SECG curve over a 256 bit prime field" 391 }; 392 393/* some wap/wtls curves */ 394static const EC_CURVE_DATA _EC_WTLS_8 = { 395 NID_X9_62_prime_field, 396 "FFFFFFFFFFFFFFFFFFFFFFFFFDE7", 397 "0", 398 "3", 399 "1", 400 "2", 401 "0100000000000001ECEA551AD837E9",1, 402 NULL, 20, 403 "WTLS curve over a 112 bit prime field" 404 }; 405 406static const EC_CURVE_DATA _EC_WTLS_9 = { 407 NID_X9_62_prime_field, 408 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC808F", 409 "0", 410 "3", 411 "1", 412 "2", 413 "0100000000000000000001CDC98AE0E2DE574ABF33",1, 414 NULL, 20, 415 "WTLS curve over a 160 bit prime field" 416 }; 417 418static const EC_CURVE_DATA _EC_WTLS_12 = { 419 NID_X9_62_prime_field, 420 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", 421 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", 422 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", 423 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", 424 "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34", 425 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1, 426 NULL, 0, 427 "WTLS curvs over a 224 bit prime field" 428 }; 429 430/* characteristic two curves */ 431static const unsigned char _EC_SECG_CHAR2_113R1_SEED[] = { 432 0x10,0xE7,0x23,0xAB,0x14,0xD6,0x96,0xE6,0x76,0x87, 433 0x56,0x15,0x17,0x56,0xFE,0xBF,0x8F,0xCB,0x49,0xA9}; 434static const EC_CURVE_DATA _EC_SECG_CHAR2_113R1 = { 435 NID_X9_62_characteristic_two_field, 436 "020000000000000000000000000201", 437 "003088250CA6E7C7FE649CE85820F7", 438 "00E8BEE4D3E2260744188BE0E9C723", 439 "009D73616F35F4AB1407D73562C10F", 440 "00A52830277958EE84D1315ED31886", 441 "0100000000000000D9CCEC8A39E56F", 2, 442 _EC_SECG_CHAR2_113R1_SEED, 20, 443 "SECG curve over a 113 bit binary field" 444 }; 445 446static const unsigned char _EC_SECG_CHAR2_113R2_SEED[] = { 447 0x10,0xC0,0xFB,0x15,0x76,0x08,0x60,0xDE,0xF1,0xEE, 448 0xF4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x5D}; 449static const EC_CURVE_DATA _EC_SECG_CHAR2_113R2 = { 450 NID_X9_62_characteristic_two_field, 451 "020000000000000000000000000201", 452 "00689918DBEC7E5A0DD6DFC0AA55C7", 453 "0095E9A9EC9B297BD4BF36E059184F", 454 "01A57A6A7B26CA5EF52FCDB8164797", 455 "00B3ADC94ED1FE674C06E695BABA1D", 456 "010000000000000108789B2496AF93", 2, 457 _EC_SECG_CHAR2_113R2_SEED, 20, 458 "SECG curve over a 113 bit binary field" 459 }; 460 461static const unsigned char _EC_SECG_CHAR2_131R1_SEED[] = { 462 0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75,0x98, 463 0x5B,0xD3,0xAD,0xBA,0xDA,0x21,0xB4,0x3A,0x97,0xE2}; 464static const EC_CURVE_DATA _EC_SECG_CHAR2_131R1 = { 465 NID_X9_62_characteristic_two_field, 466 "080000000000000000000000000000010D", 467 "07A11B09A76B562144418FF3FF8C2570B8", 468 "0217C05610884B63B9C6C7291678F9D341", 469 "0081BAF91FDF9833C40F9C181343638399", 470 "078C6E7EA38C001F73C8134B1B4EF9E150", 471 "0400000000000000023123953A9464B54D", 2, 472 _EC_SECG_CHAR2_131R1_SEED, 20, 473 "SECG/WTLS curve over a 131 bit binary field" 474 }; 475 476static const unsigned char _EC_SECG_CHAR2_131R2_SEED[] = { 477 0x98,0x5B,0xD3,0xAD,0xBA,0xD4,0xD6,0x96,0xE6,0x76, 478 0x87,0x56,0x15,0x17,0x5A,0x21,0xB4,0x3A,0x97,0xE3}; 479static const EC_CURVE_DATA _EC_SECG_CHAR2_131R2 = { 480 NID_X9_62_characteristic_two_field, 481 "080000000000000000000000000000010D", 482 "03E5A88919D7CAFCBF415F07C2176573B2", 483 "04B8266A46C55657AC734CE38F018F2192", 484 "0356DCD8F2F95031AD652D23951BB366A8", 485 "0648F06D867940A5366D9E265DE9EB240F", 486 "0400000000000000016954A233049BA98F", 2, 487 _EC_SECG_CHAR2_131R2_SEED, 20, 488 "SECG curve over a 131 bit binary field" 489 }; 490 491static const EC_CURVE_DATA _EC_NIST_CHAR2_163K = { 492 NID_X9_62_characteristic_two_field, 493 "0800000000000000000000000000000000000000C9", 494 "1", 495 "1", 496 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", 497 "0289070FB05D38FF58321F2E800536D538CCDAA3D9", 498 "04000000000000000000020108A2E0CC0D99F8A5EF", 2, 499 NULL, 0, 500 "NIST/SECG/WTLS curve over a 163 bit binary field" 501 }; 502 503static const unsigned char _EC_SECG_CHAR2_163R1_SEED[] = { 504 0x24,0xB7,0xB1,0x37,0xC8,0xA1,0x4D,0x69,0x6E,0x67, 505 0x68,0x75,0x61,0x51,0x75,0x6F,0xD0,0xDA,0x2E,0x5C}; 506static const EC_CURVE_DATA _EC_SECG_CHAR2_163R1 = { 507 NID_X9_62_characteristic_two_field, 508 "0800000000000000000000000000000000000000C9", 509 "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2", 510 "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9", 511 "0369979697AB43897789566789567F787A7876A654", 512 "00435EDB42EFAFB2989D51FEFCE3C80988F41FF883", 513 "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B", 2, 514/* The algorithm used to derive the curve parameters from 515 * the seed used here is slightly different than the 516 * algorithm described in X9.62 . 517 */ 518#if 0 519 _EC_SECG_CHAR2_163R1_SEED, 20, 520#else 521 NULL, 0, 522#endif 523 "SECG curve over a 163 bit binary field" 524 }; 525 526static const unsigned char _EC_NIST_CHAR2_163B_SEED[] = { 527 0x85,0xE2,0x5B,0xFE,0x5C,0x86,0x22,0x6C,0xDB,0x12, 528 0x01,0x6F,0x75,0x53,0xF9,0xD0,0xE6,0x93,0xA2,0x68}; 529static const EC_CURVE_DATA _EC_NIST_CHAR2_163B ={ 530 NID_X9_62_characteristic_two_field, 531 "0800000000000000000000000000000000000000C9", 532 "1", 533 "020A601907B8C953CA1481EB10512F78744A3205FD", 534 "03F0EBA16286A2D57EA0991168D4994637E8343E36", 535 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", 536 "040000000000000000000292FE77E70C12A4234C33", 2, 537/* The seed here was used to created the curve parameters in normal 538 * basis representation (and not the polynomial representation used here) 539 */ 540#if 0 541 _EC_NIST_CHAR2_163B_SEED, 20, 542#else 543 NULL, 0, 544#endif 545 "NIST/SECG curve over a 163 bit binary field" 546 }; 547 548static const unsigned char _EC_SECG_CHAR2_193R1_SEED[] = { 549 0x10,0x3F,0xAE,0xC7,0x4D,0x69,0x6E,0x67,0x68,0x75, 550 0x61,0x51,0x75,0x77,0x7F,0xC5,0xB1,0x91,0xEF,0x30}; 551static const EC_CURVE_DATA _EC_SECG_CHAR2_193R1 = { 552 NID_X9_62_characteristic_two_field, 553 "02000000000000000000000000000000000000000000008001", 554 "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01", 555 "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814", 556 "01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1", 557 "0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05", 558 "01000000000000000000000000C7F34A778F443ACC920EBA49", 2, 559 _EC_SECG_CHAR2_193R1_SEED, 20, 560 "SECG curve over a 193 bit binary field" 561 }; 562 563static const unsigned char _EC_SECG_CHAR2_193R2_SEED[] = { 564 0x10,0xB7,0xB4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15, 565 0x17,0x51,0x37,0xC8,0xA1,0x6F,0xD0,0xDA,0x22,0x11}; 566static const EC_CURVE_DATA _EC_SECG_CHAR2_193R2 = { 567 NID_X9_62_characteristic_two_field, 568 "02000000000000000000000000000000000000000000008001", 569 "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B", 570 "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE", 571 "00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F", 572 "01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C", 573 "010000000000000000000000015AAB561B005413CCD4EE99D5", 2, 574 _EC_SECG_CHAR2_193R2_SEED, 20, 575 "SECG curve over a 193 bit binary field" 576 }; 577 578static const EC_CURVE_DATA _EC_NIST_CHAR2_233K = { 579 NID_X9_62_characteristic_two_field, 580 "020000000000000000000000000000000000000004000000000000000001", 581 "0", 582 "1", 583 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", 584 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", 585 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4, 586 NULL, 0, 587 "NIST/SECG/WTLS curve over a 233 bit binary field" 588 }; 589 590static const unsigned char _EC_NIST_CHAR2_233B_SEED[] = { 591 0x74,0xD5,0x9F,0xF0,0x7F,0x6B,0x41,0x3D,0x0E,0xA1, 592 0x4B,0x34,0x4B,0x20,0xA2,0xDB,0x04,0x9B,0x50,0xC3}; 593static const EC_CURVE_DATA _EC_NIST_CHAR2_233B = { 594 NID_X9_62_characteristic_two_field, 595 "020000000000000000000000000000000000000004000000000000000001", 596 "000000000000000000000000000000000000000000000000000000000001", 597 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", 598 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", 599 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", 600 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2, 601 _EC_NIST_CHAR2_233B_SEED, 20, 602 "NIST/SECG/WTLS curve over a 233 bit binary field" 603 }; 604 605static const EC_CURVE_DATA _EC_SECG_CHAR2_239K1 = { 606 NID_X9_62_characteristic_two_field, 607 "800000000000000000004000000000000000000000000000000000000001", 608 "0", 609 "1", 610 "29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC", 611 "76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA", 612 "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5", 4, 613 NULL, 0, 614 "SECG curve over a 239 bit binary field" 615 }; 616 617static const EC_CURVE_DATA _EC_NIST_CHAR2_283K = { 618 NID_X9_62_characteristic_two_field, 619 "080000000000000000000000000000000000000000000000000000000000000000001" 620 "0A1", 621 "0", 622 "1", 623 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492" 624 "836", 625 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2" 626 "259", 627 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163" 628 "C61", 4, 629 NULL, 20, 630 "NIST/SECG curve over a 283 bit binary field" 631 }; 632 633static const unsigned char _EC_NIST_CHAR2_283B_SEED[] = { 634 0x77,0xE2,0xB0,0x73,0x70,0xEB,0x0F,0x83,0x2A,0x6D, 635 0xD5,0xB6,0x2D,0xFC,0x88,0xCD,0x06,0xBB,0x84,0xBE}; 636static const EC_CURVE_DATA _EC_NIST_CHAR2_283B = { 637 NID_X9_62_characteristic_two_field, 638 "080000000000000000000000000000000000000000000000000000000000000000001" 639 "0A1", 640 "000000000000000000000000000000000000000000000000000000000000000000000" 641 "001", 642 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A" 643 "2F5", 644 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12" 645 "053", 646 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE811" 647 "2F4", 648 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB" 649 "307", 2, 650 _EC_NIST_CHAR2_283B_SEED, 20, 651 "NIST/SECG curve over a 283 bit binary field" 652 }; 653 654static const EC_CURVE_DATA _EC_NIST_CHAR2_409K = { 655 NID_X9_62_characteristic_two_field, 656 "020000000000000000000000000000000000000000000000000000000000000000000" 657 "00000000000008000000000000000000001", 658 "0", 659 "1", 660 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C4601" 661 "89EB5AAAA62EE222EB1B35540CFE9023746", 662 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6" 663 "C42E9C55215AA9CA27A5863EC48D8E0286B", 664 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400" 665 "EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 4, 666 NULL, 0, 667 "NIST/SECG curve over a 409 bit binary field" 668 }; 669 670static const unsigned char _EC_NIST_CHAR2_409B_SEED[] = { 671 0x40,0x99,0xB5,0xA4,0x57,0xF9,0xD6,0x9F,0x79,0x21, 672 0x3D,0x09,0x4C,0x4B,0xCD,0x4D,0x42,0x62,0x21,0x0B}; 673static const EC_CURVE_DATA _EC_NIST_CHAR2_409B = { 674 NID_X9_62_characteristic_two_field, 675 "020000000000000000000000000000000000000000000000000000000000000000000" 676 "00000000000008000000000000000000001", 677 "000000000000000000000000000000000000000000000000000000000000000000000" 678 "00000000000000000000000000000000001", 679 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A19" 680 "7B272822F6CD57A55AA4F50AE317B13545F", 681 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255" 682 "A868A1180515603AEAB60794E54BB7996A7", 683 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514" 684 "F1FDF4B4F40D2181B3681C364BA0273C706", 685 "010000000000000000000000000000000000000000000000000001E2AAD6A612F3330" 686 "7BE5FA47C3C9E052F838164CD37D9A21173", 2, 687 _EC_NIST_CHAR2_409B_SEED, 20, 688 "NIST/SECG curve over a 409 bit binary field" 689 }; 690 691static const EC_CURVE_DATA _EC_NIST_CHAR2_571K = { 692 NID_X9_62_characteristic_two_field, 693 "800000000000000000000000000000000000000000000000000000000000000000000" 694 "000000000000000000000000000000000000000000000000000000000000000000000" 695 "00425", 696 "0", 697 "1", 698 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA443709" 699 "58493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A0" 700 "1C8972", 701 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D497" 702 "9C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143E" 703 "F1C7A3", 704 "020000000000000000000000000000000000000000000000000000000000000000000" 705 "000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F63" 706 "7C1001", 4, 707 NULL, 0, 708 "NIST/SECG curve over a 571 bit binary field" 709 }; 710 711static const unsigned char _EC_NIST_CHAR2_571B_SEED[] = { 712 0x2A,0xA0,0x58,0xF7,0x3A,0x0E,0x33,0xAB,0x48,0x6B, 713 0x0F,0x61,0x04,0x10,0xC5,0x3A,0x7F,0x13,0x23,0x10}; 714static const EC_CURVE_DATA _EC_NIST_CHAR2_571B = { 715 NID_X9_62_characteristic_two_field, 716 "800000000000000000000000000000000000000000000000000000000000000000000" 717 "000000000000000000000000000000000000000000000000000000000000000000000" 718 "00425", 719 "000000000000000000000000000000000000000000000000000000000000000000000" 720 "000000000000000000000000000000000000000000000000000000000000000000000" 721 "000001", 722 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFA" 723 "BBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F29" 724 "55727A", 725 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53" 726 "950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8E" 727 "EC2D19", 728 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423" 729 "E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B" 730 "8AC15B", 731 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 732 "FFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2F" 733 "E84E47", 2, 734 _EC_NIST_CHAR2_571B_SEED, 20, 735 "NIST/SECG curve over a 571 bit binary field" 736 }; 737 738static const unsigned char _EC_X9_62_CHAR2_163V1_SEED[] = { 739 0xD2,0xC0,0xFB,0x15,0x76,0x08,0x60,0xDE,0xF1,0xEE, 740 0xF4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x54}; 741static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V1 = { 742 NID_X9_62_characteristic_two_field, 743 "080000000000000000000000000000000000000107", 744 "072546B5435234A422E0789675F432C89435DE5242", 745 "00C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9", 746 "07AF69989546103D79329FCC3D74880F33BBE803CB", 747 "01EC23211B5966ADEA1D3F87F7EA5848AEF0B7CA9F", 748 "0400000000000000000001E60FC8821CC74DAEAFC1", 2, 749 _EC_X9_62_CHAR2_163V1_SEED, 20, 750 "X9.62 curve over a 163 bit binary field" 751 }; 752 753static const unsigned char _EC_X9_62_CHAR2_163V2_SEED[] = { 754 0x53,0x81,0x4C,0x05,0x0D,0x44,0xD6,0x96,0xE6,0x76, 755 0x87,0x56,0x15,0x17,0x58,0x0C,0xA4,0xE2,0x9F,0xFD}; 756static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V2 = { 757 NID_X9_62_characteristic_two_field, 758 "080000000000000000000000000000000000000107", 759 "0108B39E77C4B108BED981ED0E890E117C511CF072", 760 "0667ACEB38AF4E488C407433FFAE4F1C811638DF20", 761 "0024266E4EB5106D0A964D92C4860E2671DB9B6CC5", 762 "079F684DDF6684C5CD258B3890021B2386DFD19FC5", 763 "03FFFFFFFFFFFFFFFFFFFDF64DE1151ADBB78F10A7", 2, 764 _EC_X9_62_CHAR2_163V2_SEED, 20, 765 "X9.62 curve over a 163 bit binary field" 766 }; 767 768static const unsigned char _EC_X9_62_CHAR2_163V3_SEED[] = { 769 0x50,0xCB,0xF1,0xD9,0x5C,0xA9,0x4D,0x69,0x6E,0x67, 770 0x68,0x75,0x61,0x51,0x75,0xF1,0x6A,0x36,0xA3,0xB8}; 771static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V3 = { 772 NID_X9_62_characteristic_two_field, 773 "080000000000000000000000000000000000000107", 774 "07A526C63D3E25A256A007699F5447E32AE456B50E", 775 "03F7061798EB99E238FD6F1BF95B48FEEB4854252B", 776 "02F9F87B7C574D0BDECF8A22E6524775F98CDEBDCB", 777 "05B935590C155E17EA48EB3FF3718B893DF59A05D0", 778 "03FFFFFFFFFFFFFFFFFFFE1AEE140F110AFF961309", 2, 779 _EC_X9_62_CHAR2_163V3_SEED, 20, 780 "X9.62 curve over a 163 bit binary field" 781 }; 782 783static const EC_CURVE_DATA _EC_X9_62_CHAR2_176V1 = { 784 NID_X9_62_characteristic_two_field, 785 "0100000000000000000000000000000000080000000007", 786 "E4E6DB2995065C407D9D39B8D0967B96704BA8E9C90B", 787 "5DDA470ABE6414DE8EC133AE28E9BBD7FCEC0AE0FFF2", 788 "8D16C2866798B600F9F08BB4A8E860F3298CE04A5798", 789 "6FA4539C2DADDDD6BAB5167D61B436E1D92BB16A562C", 790 "00010092537397ECA4F6145799D62B0A19CE06FE26AD", 0xFF6E, 791 NULL, 0, 792 "X9.62 curve over a 176 bit binary field" 793 }; 794 795static const unsigned char _EC_X9_62_CHAR2_191V1_SEED[] = { 796 0x4E,0x13,0xCA,0x54,0x27,0x44,0xD6,0x96,0xE6,0x76, 797 0x87,0x56,0x15,0x17,0x55,0x2F,0x27,0x9A,0x8C,0x84}; 798static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V1 = { 799 NID_X9_62_characteristic_two_field, 800 "800000000000000000000000000000000000000000000201", 801 "2866537B676752636A68F56554E12640276B649EF7526267", 802 "2E45EF571F00786F67B0081B9495A3D95462F5DE0AA185EC", 803 "36B3DAF8A23206F9C4F299D7B21A9C369137F2C84AE1AA0D", 804 "765BE73433B3F95E332932E70EA245CA2418EA0EF98018FB", 805 "40000000000000000000000004A20E90C39067C893BBB9A5", 2, 806 _EC_X9_62_CHAR2_191V1_SEED, 20, 807 "X9.62 curve over a 191 bit binary field" 808 }; 809 810static const unsigned char _EC_X9_62_CHAR2_191V2_SEED[] = { 811 0x08,0x71,0xEF,0x2F,0xEF,0x24,0xD6,0x96,0xE6,0x76, 812 0x87,0x56,0x15,0x17,0x58,0xBE,0xE0,0xD9,0x5C,0x15}; 813static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V2 = { 814 NID_X9_62_characteristic_two_field, 815 "800000000000000000000000000000000000000000000201", 816 "401028774D7777C7B7666D1366EA432071274F89FF01E718", 817 "0620048D28BCBD03B6249C99182B7C8CD19700C362C46A01", 818 "3809B2B7CC1B28CC5A87926AAD83FD28789E81E2C9E3BF10", 819 "17434386626D14F3DBF01760D9213A3E1CF37AEC437D668A", 820 "20000000000000000000000050508CB89F652824E06B8173", 4, 821 _EC_X9_62_CHAR2_191V2_SEED, 20, 822 "X9.62 curve over a 191 bit binary field" 823 }; 824 825static const unsigned char _EC_X9_62_CHAR2_191V3_SEED[] = { 826 0xE0,0x53,0x51,0x2D,0xC6,0x84,0xD6,0x96,0xE6,0x76, 827 0x87,0x56,0x15,0x17,0x50,0x67,0xAE,0x78,0x6D,0x1F}; 828static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V3 = { 829 NID_X9_62_characteristic_two_field, 830 "800000000000000000000000000000000000000000000201", 831 "6C01074756099122221056911C77D77E77A777E7E7E77FCB", 832 "71FE1AF926CF847989EFEF8DB459F66394D90F32AD3F15E8", 833 "375D4CE24FDE434489DE8746E71786015009E66E38A926DD", 834 "545A39176196575D985999366E6AD34CE0A77CD7127B06BE", 835 "155555555555555555555555610C0B196812BFB6288A3EA3", 6, 836 _EC_X9_62_CHAR2_191V3_SEED, 20, 837 "X9.62 curve over a 191 bit binary field" 838 }; 839 840static const EC_CURVE_DATA _EC_X9_62_CHAR2_208W1 = { 841 NID_X9_62_characteristic_two_field, 842 "010000000000000000000000000000000800000000000000000007", 843 "0000000000000000000000000000000000000000000000000000", 844 "C8619ED45A62E6212E1160349E2BFA844439FAFC2A3FD1638F9E", 845 "89FDFBE4ABE193DF9559ECF07AC0CE78554E2784EB8C1ED1A57A", 846 "0F55B51A06E78E9AC38A035FF520D8B01781BEB1A6BB08617DE3", 847 "000101BAF95C9723C57B6C21DA2EFF2D5ED588BDD5717E212F9D", 0xFE48, 848 NULL, 0, 849 "X9.62 curve over a 208 bit binary field" 850 }; 851 852static const unsigned char _EC_X9_62_CHAR2_239V1_SEED[] = { 853 0xD3,0x4B,0x9A,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61, 854 0x51,0x75,0xCA,0x71,0xB9,0x20,0xBF,0xEF,0xB0,0x5D}; 855static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V1 = { 856 NID_X9_62_characteristic_two_field, 857 "800000000000000000000000000000000000000000000000001000000001", 858 "32010857077C5431123A46B808906756F543423E8D27877578125778AC76", 859 "790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16", 860 "57927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D", 861 "61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305", 862 "2000000000000000000000000000000F4D42FFE1492A4993F1CAD666E447", 4, 863 _EC_X9_62_CHAR2_239V1_SEED, 20, 864 "X9.62 curve over a 239 bit binary field" 865 }; 866 867static const unsigned char _EC_X9_62_CHAR2_239V2_SEED[] = { 868 0x2A,0xA6,0x98,0x2F,0xDF,0xA4,0xD6,0x96,0xE6,0x76, 869 0x87,0x56,0x15,0x17,0x5D,0x26,0x67,0x27,0x27,0x7D}; 870static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V2 = { 871 NID_X9_62_characteristic_two_field, 872 "800000000000000000000000000000000000000000000000001000000001", 873 "4230017757A767FAE42398569B746325D45313AF0766266479B75654E65F", 874 "5037EA654196CFF0CD82B2C14A2FCF2E3FF8775285B545722F03EACDB74B", 875 "28F9D04E900069C8DC47A08534FE76D2B900B7D7EF31F5709F200C4CA205", 876 "5667334C45AFF3B5A03BAD9DD75E2C71A99362567D5453F7FA6E227EC833", 877 "1555555555555555555555555555553C6F2885259C31E3FCDF154624522D", 6, 878 _EC_X9_62_CHAR2_239V2_SEED, 20, 879 "X9.62 curve over a 239 bit binary field" 880 }; 881 882static const unsigned char _EC_X9_62_CHAR2_239V3_SEED[] = { 883 0x9E,0x07,0x6F,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61, 884 0x51,0x75,0xE1,0x1E,0x9F,0xDD,0x77,0xF9,0x20,0x41}; 885static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V3 = { 886 NID_X9_62_characteristic_two_field, 887 "800000000000000000000000000000000000000000000000001000000001", 888 "01238774666A67766D6676F778E676B66999176666E687666D8766C66A9F", 889 "6A941977BA9F6A435199ACFC51067ED587F519C5ECB541B8E44111DE1D40", 890 "70F6E9D04D289C4E89913CE3530BFDE903977D42B146D539BF1BDE4E9C92", 891 "2E5A0EAF6E5E1305B9004DCE5C0ED7FE59A35608F33837C816D80B79F461", 892 "0CCCCCCCCCCCCCCCCCCCCCCCCCCCCCAC4912D2D9DF903EF9888B8A0E4CFF", 0xA, 893 _EC_X9_62_CHAR2_239V3_SEED, 20, 894 "X9.62 curve over a 239 bit binary field" 895 }; 896 897static const EC_CURVE_DATA _EC_X9_62_CHAR2_272W1 = { 898 NID_X9_62_characteristic_two_field, 899 "010000000000000000000000000000000000000000000000000000010000000000000" 900 "B", 901 "91A091F03B5FBA4AB2CCF49C4EDD220FB028712D42BE752B2C40094DBACDB586FB20", 902 "7167EFC92BB2E3CE7C8AAAFF34E12A9C557003D7C73A6FAF003F99F6CC8482E540F7", 903 "6108BABB2CEEBCF787058A056CBE0CFE622D7723A289E08A07AE13EF0D10D171DD8D", 904 "10C7695716851EEF6BA7F6872E6142FBD241B830FF5EFCACECCAB05E02005DDE9D23", 905 "000100FAF51354E0E39E4892DF6E319C72C8161603FA45AA7B998A167B8F1E629521", 906 0xFF06, 907 NULL, 0, 908 "X9.62 curve over a 272 bit binary field" 909 }; 910 911static const EC_CURVE_DATA _EC_X9_62_CHAR2_304W1 = { 912 NID_X9_62_characteristic_two_field, 913 "010000000000000000000000000000000000000000000000000000000000000000000" 914 "000000807", 915 "FD0D693149A118F651E6DCE6802085377E5F882D1B510B44160074C1288078365A039" 916 "6C8E681", 917 "BDDB97E555A50A908E43B01C798EA5DAA6788F1EA2794EFCF57166B8C14039601E558" 918 "27340BE", 919 "197B07845E9BE2D96ADB0F5F3C7F2CFFBD7A3EB8B6FEC35C7FD67F26DDF6285A644F7" 920 "40A2614", 921 "E19FBEB76E0DA171517ECF401B50289BF014103288527A9B416A105E80260B549FDC1" 922 "B92C03B", 923 "000101D556572AABAC800101D556572AABAC8001022D5C91DD173F8FB561DA6899164" 924 "443051D", 0xFE2E, 925 NULL, 0, 926 "X9.62 curve over a 304 bit binary field" 927 }; 928 929static const unsigned char _EC_X9_62_CHAR2_359V1_SEED[] = { 930 0x2B,0x35,0x49,0x20,0xB7,0x24,0xD6,0x96,0xE6,0x76, 931 0x87,0x56,0x15,0x17,0x58,0x5B,0xA1,0x33,0x2D,0xC6}; 932static const EC_CURVE_DATA _EC_X9_62_CHAR2_359V1 = { 933 NID_X9_62_characteristic_two_field, 934 "800000000000000000000000000000000000000000000000000000000000000000000" 935 "000100000000000000001", 936 "5667676A654B20754F356EA92017D946567C46675556F19556A04616B567D223A5E05" 937 "656FB549016A96656A557", 938 "2472E2D0197C49363F1FE7F5B6DB075D52B6947D135D8CA445805D39BC34562608968" 939 "7742B6329E70680231988", 940 "3C258EF3047767E7EDE0F1FDAA79DAEE3841366A132E163ACED4ED2401DF9C6BDCDE9" 941 "8E8E707C07A2239B1B097", 942 "53D7E08529547048121E9C95F3791DD804963948F34FAE7BF44EA82365DC7868FE57E" 943 "4AE2DE211305A407104BD", 944 "01AF286BCA1AF286BCA1AF286BCA1AF286BCA1AF286BC9FB8F6B85C556892C20A7EB9" 945 "64FE7719E74F490758D3B", 0x4C, 946 _EC_X9_62_CHAR2_359V1_SEED, 20, 947 "X9.62 curve over a 359 bit binary field" 948 }; 949 950static const EC_CURVE_DATA _EC_X9_62_CHAR2_368W1 = { 951 NID_X9_62_characteristic_two_field, 952 "010000000000000000000000000000000000000000000000000000000000000000000" 953 "0002000000000000000000007", 954 "E0D2EE25095206F5E2A4F9ED229F1F256E79A0E2B455970D8D0D865BD94778C576D62" 955 "F0AB7519CCD2A1A906AE30D", 956 "FC1217D4320A90452C760A58EDCD30C8DD069B3C34453837A34ED50CB54917E1C2112" 957 "D84D164F444F8F74786046A", 958 "1085E2755381DCCCE3C1557AFA10C2F0C0C2825646C5B34A394CBCFA8BC16B22E7E78" 959 "9E927BE216F02E1FB136A5F", 960 "7B3EB1BDDCBA62D5D8B2059B525797FC73822C59059C623A45FF3843CEE8F87CD1855" 961 "ADAA81E2A0750B80FDA2310", 962 "00010090512DA9AF72B08349D98A5DD4C7B0532ECA51CE03E2D10F3B7AC579BD87E90" 963 "9AE40A6F131E9CFCE5BD967", 0xFF70, 964 NULL, 0, 965 "X9.62 curve over a 368 bit binary field" 966 }; 967 968static const EC_CURVE_DATA _EC_X9_62_CHAR2_431R1 = { 969 NID_X9_62_characteristic_two_field, 970 "800000000000000000000000000000000000000000000000000000000000000000000" 971 "000000001000000000000000000000000000001", 972 "1A827EF00DD6FC0E234CAF046C6A5D8A85395B236CC4AD2CF32A0CADBDC9DDF620B0E" 973 "B9906D0957F6C6FEACD615468DF104DE296CD8F", 974 "10D9B4A3D9047D8B154359ABFB1B7F5485B04CEB868237DDC9DEDA982A679A5A919B6" 975 "26D4E50A8DD731B107A9962381FB5D807BF2618", 976 "120FC05D3C67A99DE161D2F4092622FECA701BE4F50F4758714E8A87BBF2A658EF8C2" 977 "1E7C5EFE965361F6C2999C0C247B0DBD70CE6B7", 978 "20D0AF8903A96F8D5FA2C255745D3C451B302C9346D9B7E485E7BCE41F6B591F3E8F6" 979 "ADDCBB0BC4C2F947A7DE1A89B625D6A598B3760", 980 "0340340340340340340340340340340340340340340340340340340323C313FAB5058" 981 "9703B5EC68D3587FEC60D161CC149C1AD4A91", 0x2760, 982 NULL, 0, 983 "X9.62 curve over a 431 bit binary field" 984 }; 985 986static const EC_CURVE_DATA _EC_WTLS_1 = { 987 NID_X9_62_characteristic_two_field, 988 "020000000000000000000000000201", 989 "1", 990 "1", 991 "01667979A40BA497E5D5C270780617", 992 "00F44B4AF1ECC2630E08785CEBCC15", 993 "00FFFFFFFFFFFFFFFDBF91AF6DEA73", 2, 994 NULL, 0, 995 "WTLS curve over a 113 bit binary field" 996 }; 997 998/* IPSec curves */ 999/* NOTE: The of curves over a extension field of non prime degree 1000 * is not recommended (Weil-descent). 1001 * As the group order is not a prime this curve is not suitable 1002 * for ECDSA. 1003 */ 1004static const EC_CURVE_DATA _EC_IPSEC_155_ID3 = { 1005 NID_X9_62_characteristic_two_field, 1006 "0800000000000000000000004000000000000001", 1007 "0", 1008 "07338f", 1009 "7b", 1010 "1c8", 1011 "2AAAAAAAAAAAAAAAAAAC7F3C7881BD0868FA86C",3, 1012 NULL, 0, 1013 "\n\tIPSec/IKE/Oakley curve #3 over a 155 bit binary field.\n" 1014 "\tNot suitable for ECDSA.\n\tQuestionable extension field!" 1015 }; 1016 1017/* NOTE: The of curves over a extension field of non prime degree 1018 * is not recommended (Weil-descent). 1019 * As the group order is not a prime this curve is not suitable 1020 * for ECDSA. 1021 */ 1022static const EC_CURVE_DATA _EC_IPSEC_185_ID4 = { 1023 NID_X9_62_characteristic_two_field, 1024 "020000000000000000000000000000200000000000000001", 1025 "0", 1026 "1ee9", 1027 "18", 1028 "0d", 1029 "FFFFFFFFFFFFFFFFFFFFFFEDF97C44DB9F2420BAFCA75E",2, 1030 NULL, 0, 1031 "\n\tIPSec/IKE/Oakley curve #4 over a 185 bit binary field.\n" 1032 "\tNot suitable for ECDSA.\n\tQuestionable extension field!" 1033 }; 1034 1035typedef struct _ec_list_element_st { 1036 int nid; 1037 const EC_CURVE_DATA *data; 1038 } ec_list_element; 1039 1040static const ec_list_element curve_list[] = { 1041 /* prime field curves */ 1042 /* secg curves */ 1043 { NID_secp112r1, &_EC_SECG_PRIME_112R1}, 1044 { NID_secp112r2, &_EC_SECG_PRIME_112R2}, 1045 { NID_secp128r1, &_EC_SECG_PRIME_128R1}, 1046 { NID_secp128r2, &_EC_SECG_PRIME_128R2}, 1047 { NID_secp160k1, &_EC_SECG_PRIME_160K1}, 1048 { NID_secp160r1, &_EC_SECG_PRIME_160R1}, 1049 { NID_secp160r2, &_EC_SECG_PRIME_160R2}, 1050 /* SECG secp192r1 is the same as X9.62 prime192v1 and hence omitted */ 1051 { NID_secp192k1, &_EC_SECG_PRIME_192K1}, 1052 { NID_secp224k1, &_EC_SECG_PRIME_224K1}, 1053 { NID_secp224r1, &_EC_NIST_PRIME_224}, 1054 { NID_secp256k1, &_EC_SECG_PRIME_256K1}, 1055 /* SECG secp256r1 is the same as X9.62 prime256v1 and hence omitted */ 1056 { NID_secp384r1, &_EC_NIST_PRIME_384}, 1057 { NID_secp521r1, &_EC_NIST_PRIME_521}, 1058 /* X9.62 curves */ 1059 { NID_X9_62_prime192v1, &_EC_NIST_PRIME_192}, 1060 { NID_X9_62_prime192v2, &_EC_X9_62_PRIME_192V2}, 1061 { NID_X9_62_prime192v3, &_EC_X9_62_PRIME_192V3}, 1062 { NID_X9_62_prime239v1, &_EC_X9_62_PRIME_239V1}, 1063 { NID_X9_62_prime239v2, &_EC_X9_62_PRIME_239V2}, 1064 { NID_X9_62_prime239v3, &_EC_X9_62_PRIME_239V3}, 1065 { NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1}, 1066 /* characteristic two field curves */ 1067 /* NIST/SECG curves */ 1068 { NID_sect113r1, &_EC_SECG_CHAR2_113R1}, 1069 { NID_sect113r2, &_EC_SECG_CHAR2_113R2}, 1070 { NID_sect131r1, &_EC_SECG_CHAR2_131R1}, 1071 { NID_sect131r2, &_EC_SECG_CHAR2_131R2}, 1072 { NID_sect163k1, &_EC_NIST_CHAR2_163K }, 1073 { NID_sect163r1, &_EC_SECG_CHAR2_163R1}, 1074 { NID_sect163r2, &_EC_NIST_CHAR2_163B }, 1075 { NID_sect193r1, &_EC_SECG_CHAR2_193R1}, 1076 { NID_sect193r2, &_EC_SECG_CHAR2_193R2}, 1077 { NID_sect233k1, &_EC_NIST_CHAR2_233K }, 1078 { NID_sect233r1, &_EC_NIST_CHAR2_233B }, 1079 { NID_sect239k1, &_EC_SECG_CHAR2_239K1}, 1080 { NID_sect283k1, &_EC_NIST_CHAR2_283K }, 1081 { NID_sect283r1, &_EC_NIST_CHAR2_283B }, 1082 { NID_sect409k1, &_EC_NIST_CHAR2_409K }, 1083 { NID_sect409r1, &_EC_NIST_CHAR2_409B }, 1084 { NID_sect571k1, &_EC_NIST_CHAR2_571K }, 1085 { NID_sect571r1, &_EC_NIST_CHAR2_571B }, 1086 /* X9.62 curves */ 1087 { NID_X9_62_c2pnb163v1, &_EC_X9_62_CHAR2_163V1}, 1088 { NID_X9_62_c2pnb163v2, &_EC_X9_62_CHAR2_163V2}, 1089 { NID_X9_62_c2pnb163v3, &_EC_X9_62_CHAR2_163V3}, 1090 { NID_X9_62_c2pnb176v1, &_EC_X9_62_CHAR2_176V1}, 1091 { NID_X9_62_c2tnb191v1, &_EC_X9_62_CHAR2_191V1}, 1092 { NID_X9_62_c2tnb191v2, &_EC_X9_62_CHAR2_191V2}, 1093 { NID_X9_62_c2tnb191v3, &_EC_X9_62_CHAR2_191V3}, 1094 { NID_X9_62_c2pnb208w1, &_EC_X9_62_CHAR2_208W1}, 1095 { NID_X9_62_c2tnb239v1, &_EC_X9_62_CHAR2_239V1}, 1096 { NID_X9_62_c2tnb239v2, &_EC_X9_62_CHAR2_239V2}, 1097 { NID_X9_62_c2tnb239v3, &_EC_X9_62_CHAR2_239V3}, 1098 { NID_X9_62_c2pnb272w1, &_EC_X9_62_CHAR2_272W1}, 1099 { NID_X9_62_c2pnb304w1, &_EC_X9_62_CHAR2_304W1}, 1100 { NID_X9_62_c2tnb359v1, &_EC_X9_62_CHAR2_359V1}, 1101 { NID_X9_62_c2pnb368w1, &_EC_X9_62_CHAR2_368W1}, 1102 { NID_X9_62_c2tnb431r1, &_EC_X9_62_CHAR2_431R1}, 1103 /* the WAP/WTLS curves 1104 * [unlike SECG, spec has its own OIDs for curves from X9.62] */ 1105 { NID_wap_wsg_idm_ecid_wtls1, &_EC_WTLS_1}, 1106 { NID_wap_wsg_idm_ecid_wtls3, &_EC_NIST_CHAR2_163K}, 1107 { NID_wap_wsg_idm_ecid_wtls4, &_EC_SECG_CHAR2_113R1}, 1108 { NID_wap_wsg_idm_ecid_wtls5, &_EC_X9_62_CHAR2_163V1}, 1109 { NID_wap_wsg_idm_ecid_wtls6, &_EC_SECG_PRIME_112R1}, 1110 { NID_wap_wsg_idm_ecid_wtls7, &_EC_SECG_PRIME_160R2}, 1111 { NID_wap_wsg_idm_ecid_wtls8, &_EC_WTLS_8}, 1112 { NID_wap_wsg_idm_ecid_wtls9, &_EC_WTLS_9 }, 1113 { NID_wap_wsg_idm_ecid_wtls10, &_EC_NIST_CHAR2_233K}, 1114 { NID_wap_wsg_idm_ecid_wtls11, &_EC_NIST_CHAR2_233B}, 1115 { NID_wap_wsg_idm_ecid_wtls12, &_EC_WTLS_12}, 1116 /* IPSec curves */ 1117 { NID_ipsec3, &_EC_IPSEC_155_ID3}, 1118 { NID_ipsec4, &_EC_IPSEC_185_ID4}, 1119}; 1120 1121static size_t curve_list_length = sizeof(curve_list)/sizeof(ec_list_element); 1122 1123static EC_GROUP *ec_group_new_from_data(const EC_CURVE_DATA *data) 1124 { 1125 EC_GROUP *group=NULL; 1126 EC_POINT *P=NULL; 1127 BN_CTX *ctx=NULL; 1128 BIGNUM *p=NULL, *a=NULL, *b=NULL, *x=NULL, *y=NULL, *order=NULL; 1129 int ok=0; 1130 1131 if ((ctx = BN_CTX_new()) == NULL) 1132 { 1133 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE); 1134 goto err; 1135 } 1136 if ((p = BN_new()) == NULL || (a = BN_new()) == NULL || 1137 (b = BN_new()) == NULL || (x = BN_new()) == NULL || 1138 (y = BN_new()) == NULL || (order = BN_new()) == NULL) 1139 { 1140 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE); 1141 goto err; 1142 } 1143 1144 if (!BN_hex2bn(&p, data->p) || !BN_hex2bn(&a, data->a) 1145 || !BN_hex2bn(&b, data->b)) 1146 { 1147 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); 1148 goto err; 1149 } 1150 1151 if (data->field_type == NID_X9_62_prime_field) 1152 { 1153 if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL) 1154 { 1155 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); 1156 goto err; 1157 } 1158 } 1159 else 1160 { /* field_type == NID_X9_62_characteristic_two_field */ 1161 if ((group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) == NULL) 1162 { 1163 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); 1164 goto err; 1165 } 1166 } 1167 1168 if ((P = EC_POINT_new(group)) == NULL) 1169 { 1170 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); 1171 goto err; 1172 } 1173 1174 if (!BN_hex2bn(&x, data->x) || !BN_hex2bn(&y, data->y)) 1175 { 1176 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); 1177 goto err; 1178 } 1179 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) 1180 { 1181 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); 1182 goto err; 1183 } 1184 if (!BN_hex2bn(&order, data->order) || !BN_set_word(x, data->cofactor)) 1185 { 1186 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); 1187 goto err; 1188 } 1189 if (!EC_GROUP_set_generator(group, P, order, x)) 1190 { 1191 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); 1192 goto err; 1193 } 1194 if (data->seed) 1195 { 1196 if (!EC_GROUP_set_seed(group, data->seed, data->seed_len)) 1197 { 1198 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); 1199 goto err; 1200 } 1201 } 1202 ok=1; 1203err: 1204 if (!ok) 1205 { 1206 EC_GROUP_free(group); 1207 group = NULL; 1208 } 1209 if (P) 1210 EC_POINT_free(P); 1211 if (ctx) 1212 BN_CTX_free(ctx); 1213 if (p) 1214 BN_free(p); 1215 if (a) 1216 BN_free(a); 1217 if (b) 1218 BN_free(b); 1219 if (order) 1220 BN_free(order); 1221 if (x) 1222 BN_free(x); 1223 if (y) 1224 BN_free(y); 1225 return group; 1226 } 1227 1228EC_GROUP *EC_GROUP_new_by_curve_name(int nid) 1229 { 1230 size_t i; 1231 EC_GROUP *ret = NULL; 1232 1233 if (nid <= 0) 1234 return NULL; 1235 1236 for (i=0; i<curve_list_length; i++) 1237 if (curve_list[i].nid == nid) 1238 { 1239 ret = ec_group_new_from_data(curve_list[i].data); 1240 break; 1241 } 1242 1243 if (ret == NULL) 1244 { 1245 ECerr(EC_F_EC_GROUP_NEW_BY_CURVE_NAME, EC_R_UNKNOWN_GROUP); 1246 return NULL; 1247 } 1248 1249 EC_GROUP_set_curve_name(ret, nid); 1250 1251 return ret; 1252 } 1253 1254size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems) 1255 { 1256 size_t i, min; 1257 1258 if (r == NULL || nitems == 0) 1259 return curve_list_length; 1260 1261 min = nitems < curve_list_length ? nitems : curve_list_length; 1262 1263 for (i = 0; i < min; i++) 1264 { 1265 r[i].nid = curve_list[i].nid; 1266 r[i].comment = curve_list[i].data->comment; 1267 } 1268 1269 return curve_list_length; 1270 } 1271