ec_curve.c revision 296465
12311Sjkh/* crypto/ec/ec_curve.c */ 22311Sjkh/* 32311Sjkh * Written by Nils Larsch for the OpenSSL project. 42311Sjkh */ 52311Sjkh/* ==================================================================== 62311Sjkh * Copyright (c) 1998-2004 The OpenSSL Project. All rights reserved. 72311Sjkh * 82311Sjkh * Redistribution and use in source and binary forms, with or without 92311Sjkh * modification, are permitted provided that the following conditions 102311Sjkh * are met: 112311Sjkh * 122311Sjkh * 1. Redistributions of source code must retain the above copyright 132311Sjkh * notice, this list of conditions and the following disclaimer. 142311Sjkh * 152311Sjkh * 2. Redistributions in binary form must reproduce the above copyright 162311Sjkh * notice, this list of conditions and the following disclaimer in 172311Sjkh * the documentation and/or other materials provided with the 182311Sjkh * distribution. 192311Sjkh * 2019594Swosch * 3. All advertising materials mentioning features or use of this 212311Sjkh * software must display the following acknowledgment: 222311Sjkh * "This product includes software developed by the OpenSSL Project 232311Sjkh * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" 242311Sjkh * 252311Sjkh * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to 262311Sjkh * endorse or promote products derived from this software without 272311Sjkh * prior written permission. For written permission, please contact 282311Sjkh * openssl-core@openssl.org. 292311Sjkh * 302311Sjkh * 5. Products derived from this software may not be called "OpenSSL" 312311Sjkh * nor may "OpenSSL" appear in their names without prior written 322311Sjkh * permission of the OpenSSL Project. 332311Sjkh * 342311Sjkh * 6. Redistributions of any form whatsoever must retain the following 352311Sjkh * acknowledgment: 362311Sjkh * "This product includes software developed by the OpenSSL Project 372311Sjkh * for use in the OpenSSL Toolkit (http://www.openssl.org/)" 382311Sjkh * 392311Sjkh * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY 402311Sjkh * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 412311Sjkh * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 422311Sjkh * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR 432311Sjkh * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 442311Sjkh * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 4519594Swosch * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 462311Sjkh * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 472311Sjkh * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, 482311Sjkh * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 4919594Swosch * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED 507828Sache * OF THE POSSIBILITY OF SUCH DAMAGE. 512311Sjkh * ==================================================================== 522311Sjkh * 538379Srgrimes * This product includes cryptographic software written by Eric Young 548379Srgrimes * (eay@cryptsoft.com). This product includes software written by Tim 552311Sjkh * Hudson (tjh@cryptsoft.com). 562311Sjkh * 572311Sjkh */ 588379Srgrimes/* ==================================================================== 598379Srgrimes * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. 602311Sjkh * 618379Srgrimes * Portions of the attached software ("Contribution") are developed by 622311Sjkh * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. 632311Sjkh * 642311Sjkh * The Contribution is licensed pursuant to the OpenSSL open source 652311Sjkh * license provided above. 662311Sjkh * 672311Sjkh * The elliptic curve binary polynomial software is originally written by 682311Sjkh * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. 692311Sjkh * 702311Sjkh */ 712311Sjkh 728379Srgrimes#include "ec_lcl.h" 732311Sjkh#include <openssl/err.h> 742311Sjkh#include <openssl/obj_mac.h> 752311Sjkh 762311Sjkhtypedef struct ec_curve_data_st { 772311Sjkh int field_type; /* either NID_X9_62_prime_field or 782311Sjkh * NID_X9_62_characteristic_two_field */ 792311Sjkh const char *p; /* either a prime number or a polynomial */ 802311Sjkh const char *a; 812311Sjkh const char *b; 822311Sjkh const char *x; /* the x coordinate of the generator */ 832311Sjkh const char *y; /* the y coordinate of the generator */ 842311Sjkh const char *order; /* the order of the group generated by the 852311Sjkh * generator */ 862311Sjkh const BN_ULONG cofactor; /* the cofactor */ 872311Sjkh 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 96}; 97 98static const EC_CURVE_DATA _EC_NIST_PRIME_192 = { 99 NID_X9_62_prime_field, 100 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", 101 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", 102 "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1", 103 "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012", 104 "07192b95ffc8da78631011ed6b24cdd573f977a11e794811", 105 "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831", 1, 106 _EC_NIST_PRIME_192_SEED, 20, 107 "NIST/X9.62/SECG curve over a 192 bit prime field" 108}; 109 110static const unsigned char _EC_NIST_PRIME_224_SEED[] = { 111 0xBD, 0x71, 0x34, 0x47, 0x99, 0xD5, 0xC7, 0xFC, 0xDC, 0x45, 112 0xB5, 0x9F, 0xA3, 0xB9, 0xAB, 0x8F, 0x6A, 0x94, 0x8B, 0xC5 113}; 114 115static const EC_CURVE_DATA _EC_NIST_PRIME_224 = { 116 NID_X9_62_prime_field, 117 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", 118 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", 119 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", 120 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", 121 "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34", 122 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1, 123 _EC_NIST_PRIME_224_SEED, 20, 124 "NIST/SECG curve over a 224 bit prime field" 125}; 126 127static const unsigned char _EC_NIST_PRIME_384_SEED[] = { 128 0xA3, 0x35, 0x92, 0x6A, 0xA3, 0x19, 0xA2, 0x7A, 0x1D, 0x00, 129 0x89, 0x6A, 0x67, 0x73, 0xA4, 0x82, 0x7A, 0xCD, 0xAC, 0x73 130}; 131 132static const EC_CURVE_DATA _EC_NIST_PRIME_384 = { 133 NID_X9_62_prime_field, 134 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF" 135 "FFF0000000000000000FFFFFFFF", 136 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF" 137 "FFF0000000000000000FFFFFFFC", 138 "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC6563" 139 "98D8A2ED19D2A85C8EDD3EC2AEF", 140 "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F" 141 "25DBF55296C3A545E3872760AB7", 142 "3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b" 143 "1ce1d7e819d7a431d7c90ea0e5f", 144 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0" 145 "DB248B0A77AECEC196ACCC52973", 1, 146 _EC_NIST_PRIME_384_SEED, 20, 147 "NIST/SECG curve over a 384 bit prime field" 148}; 149 150static const unsigned char _EC_NIST_PRIME_521_SEED[] = { 151 0xD0, 0x9E, 0x88, 0x00, 0x29, 0x1C, 0xB8, 0x53, 0x96, 0xCC, 152 0x67, 0x17, 0x39, 0x32, 0x84, 0xAA, 0xA0, 0xDA, 0x64, 0xBA 153}; 154 155static const EC_CURVE_DATA _EC_NIST_PRIME_521 = { 156 NID_X9_62_prime_field, 157 "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 158 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 159 "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 160 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC", 161 "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156" 162 "193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00", 163 "C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14" 164 "B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66", 165 "011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c9" 166 "7ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", 167 "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51" 168 "868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409", 1, 169 _EC_NIST_PRIME_521_SEED, 20, 170 "NIST/SECG curve over a 521 bit prime field" 171}; 172 173/* the x9.62 prime curves (minus the nist prime curves) */ 174static const unsigned char _EC_X9_62_PRIME_192V2_SEED[] = { 175 0x31, 0xA9, 0x2E, 0xE2, 0x02, 0x9F, 0xD1, 0x0D, 0x90, 0x1B, 176 0x11, 0x3E, 0x99, 0x07, 0x10, 0xF0, 0xD2, 0x1A, 0xC6, 0xB6 177}; 178 179static const EC_CURVE_DATA _EC_X9_62_PRIME_192V2 = { 180 NID_X9_62_prime_field, 181 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", 182 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", 183 "CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953", 184 "EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A", 185 "6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15", 186 "FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31", 1, 187 _EC_X9_62_PRIME_192V2_SEED, 20, 188 "X9.62 curve over a 192 bit prime field" 189}; 190 191static const unsigned char _EC_X9_62_PRIME_192V3_SEED[] = { 192 0xC4, 0x69, 0x68, 0x44, 0x35, 0xDE, 0xB3, 0x78, 0xC4, 0xB6, 193 0x5C, 0xA9, 0x59, 0x1E, 0x2A, 0x57, 0x63, 0x05, 0x9A, 0x2E 194}; 195 196static const EC_CURVE_DATA _EC_X9_62_PRIME_192V3 = { 197 NID_X9_62_prime_field, 198 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", 199 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", 200 "22123DC2395A05CAA7423DAECCC94760A7D462256BD56916", 201 "7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896", 202 "38a90f22637337334b49dcb66a6dc8f9978aca7648a943b0", 203 "FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13", 1, 204 _EC_X9_62_PRIME_192V3_SEED, 20, 205 "X9.62 curve over a 192 bit prime field" 206}; 207 208static const unsigned char _EC_X9_62_PRIME_239V1_SEED[] = { 209 0xE4, 0x3B, 0xB4, 0x60, 0xF0, 0xB8, 0x0C, 0xC0, 0xC0, 0xB0, 210 0x75, 0x79, 0x8E, 0x94, 0x80, 0x60, 0xF8, 0x32, 0x1B, 0x7D 211}; 212 213static const EC_CURVE_DATA _EC_X9_62_PRIME_239V1 = { 214 NID_X9_62_prime_field, 215 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", 216 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", 217 "6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A", 218 "0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF", 219 "7debe8e4e90a5dae6e4054ca530ba04654b36818ce226b39fccb7b02f1ae", 220 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B", 1, 221 _EC_X9_62_PRIME_239V1_SEED, 20, 222 "X9.62 curve over a 239 bit prime field" 223}; 224 225static const unsigned char _EC_X9_62_PRIME_239V2_SEED[] = { 226 0xE8, 0xB4, 0x01, 0x16, 0x04, 0x09, 0x53, 0x03, 0xCA, 0x3B, 227 0x80, 0x99, 0x98, 0x2B, 0xE0, 0x9F, 0xCB, 0x9A, 0xE6, 0x16 228}; 229 230static const EC_CURVE_DATA _EC_X9_62_PRIME_239V2 = { 231 NID_X9_62_prime_field, 232 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", 233 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", 234 "617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C", 235 "38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7", 236 "5b0125e4dbea0ec7206da0fc01d9b081329fb555de6ef460237dff8be4ba", 237 "7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063", 1, 238 _EC_X9_62_PRIME_239V2_SEED, 20, 239 "X9.62 curve over a 239 bit prime field" 240}; 241 242static const unsigned char _EC_X9_62_PRIME_239V3_SEED[] = { 243 0x7D, 0x73, 0x74, 0x16, 0x8F, 0xFE, 0x34, 0x71, 0xB6, 0x0A, 244 0x85, 0x76, 0x86, 0xA1, 0x94, 0x75, 0xD3, 0xBF, 0xA2, 0xFF 245}; 246 247static const EC_CURVE_DATA _EC_X9_62_PRIME_239V3 = { 248 NID_X9_62_prime_field, 249 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", 250 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", 251 "255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E", 252 "6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A", 253 "1607e6898f390c06bc1d552bad226f3b6fcfe48b6e818499af18e3ed6cf3", 254 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551", 1, 255 _EC_X9_62_PRIME_239V3_SEED, 20, 256 "X9.62 curve over a 239 bit prime field" 257}; 258 259static const unsigned char _EC_X9_62_PRIME_256V1_SEED[] = { 260 0xC4, 0x9D, 0x36, 0x08, 0x86, 0xE7, 0x04, 0x93, 0x6A, 0x66, 261 0x78, 0xE1, 0x13, 0x9D, 0x26, 0xB7, 0x81, 0x9F, 0x7E, 0x90 262}; 263 264static const EC_CURVE_DATA _EC_X9_62_PRIME_256V1 = { 265 NID_X9_62_prime_field, 266 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF", 267 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC", 268 "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B", 269 "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296", 270 "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", 271 "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551", 1, 272 _EC_X9_62_PRIME_256V1_SEED, 20, 273 "X9.62/SECG curve over a 256 bit prime field" 274}; 275 276/* the secg prime curves (minus the nist and x9.62 prime curves) */ 277static const unsigned char _EC_SECG_PRIME_112R1_SEED[] = { 278 0x00, 0xF5, 0x0B, 0x02, 0x8E, 0x4D, 0x69, 0x6E, 0x67, 0x68, 279 0x75, 0x61, 0x51, 0x75, 0x29, 0x04, 0x72, 0x78, 0x3F, 0xB1 280}; 281 282static const EC_CURVE_DATA _EC_SECG_PRIME_112R1 = { 283 NID_X9_62_prime_field, 284 "DB7C2ABF62E35E668076BEAD208B", 285 "DB7C2ABF62E35E668076BEAD2088", 286 "659EF8BA043916EEDE8911702B22", 287 "09487239995A5EE76B55F9C2F098", 288 "a89ce5af8724c0a23e0e0ff77500", 289 "DB7C2ABF62E35E7628DFAC6561C5", 1, 290 _EC_SECG_PRIME_112R1_SEED, 20, 291 "SECG/WTLS curve over a 112 bit prime field" 292}; 293 294static const unsigned char _EC_SECG_PRIME_112R2_SEED[] = { 295 0x00, 0x27, 0x57, 0xA1, 0x11, 0x4D, 0x69, 0x6E, 0x67, 0x68, 296 0x75, 0x61, 0x51, 0x75, 0x53, 0x16, 0xC0, 0x5E, 0x0B, 0xD4 297}; 298 299static const EC_CURVE_DATA _EC_SECG_PRIME_112R2 = { 300 NID_X9_62_prime_field, 301 "DB7C2ABF62E35E668076BEAD208B", 302 "6127C24C05F38A0AAAF65C0EF02C", 303 "51DEF1815DB5ED74FCC34C85D709", 304 "4BA30AB5E892B4E1649DD0928643", 305 "adcd46f5882e3747def36e956e97", 306 "36DF0AAFD8B8D7597CA10520D04B", 4, 307 _EC_SECG_PRIME_112R2_SEED, 20, 308 "SECG curve over a 112 bit prime field" 309}; 310 311static const unsigned char _EC_SECG_PRIME_128R1_SEED[] = { 312 0x00, 0x0E, 0x0D, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 313 0x51, 0x75, 0x0C, 0xC0, 0x3A, 0x44, 0x73, 0xD0, 0x36, 0x79 314}; 315 316static const EC_CURVE_DATA _EC_SECG_PRIME_128R1 = { 317 NID_X9_62_prime_field, 318 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF", 319 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC", 320 "E87579C11079F43DD824993C2CEE5ED3", 321 "161FF7528B899B2D0C28607CA52C5B86", 322 "cf5ac8395bafeb13c02da292dded7a83", 323 "FFFFFFFE0000000075A30D1B9038A115", 1, 324 _EC_SECG_PRIME_128R1_SEED, 20, 325 "SECG curve over a 128 bit prime field" 326}; 327 328static const unsigned char _EC_SECG_PRIME_128R2_SEED[] = { 329 0x00, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75, 330 0x12, 0xD8, 0xF0, 0x34, 0x31, 0xFC, 0xE6, 0x3B, 0x88, 0xF4 331}; 332 333static const EC_CURVE_DATA _EC_SECG_PRIME_128R2 = { 334 NID_X9_62_prime_field, 335 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF", 336 "D6031998D1B3BBFEBF59CC9BBFF9AEE1", 337 "5EEEFCA380D02919DC2C6558BB6D8A5D", 338 "7B6AA5D85E572983E6FB32A7CDEBC140", 339 "27b6916a894d3aee7106fe805fc34b44", 340 "3FFFFFFF7FFFFFFFBE0024720613B5A3", 4, 341 _EC_SECG_PRIME_128R2_SEED, 20, 342 "SECG curve over a 128 bit prime field" 343}; 344 345static const EC_CURVE_DATA _EC_SECG_PRIME_160K1 = { 346 NID_X9_62_prime_field, 347 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", 348 "0", 349 "7", 350 "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB", 351 "938cf935318fdced6bc28286531733c3f03c4fee", 352 "0100000000000000000001B8FA16DFAB9ACA16B6B3", 1, 353 NULL, 0, 354 "SECG curve over a 160 bit prime field" 355}; 356 357static const unsigned char _EC_SECG_PRIME_160R1_SEED[] = { 358 0x10, 0x53, 0xCD, 0xE4, 0x2C, 0x14, 0xD6, 0x96, 0xE6, 0x76, 359 0x87, 0x56, 0x15, 0x17, 0x53, 0x3B, 0xF3, 0xF8, 0x33, 0x45 360}; 361 362static const EC_CURVE_DATA _EC_SECG_PRIME_160R1 = { 363 NID_X9_62_prime_field, 364 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF", 365 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC", 366 "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45", 367 "4A96B5688EF573284664698968C38BB913CBFC82", 368 "23a628553168947d59dcc912042351377ac5fb32", 369 "0100000000000000000001F4C8F927AED3CA752257", 1, 370 _EC_SECG_PRIME_160R1_SEED, 20, 371 "SECG curve over a 160 bit prime field" 372}; 373 374static const unsigned char _EC_SECG_PRIME_160R2_SEED[] = { 375 0xB9, 0x9B, 0x99, 0xB0, 0x99, 0xB3, 0x23, 0xE0, 0x27, 0x09, 376 0xA4, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, 0x17, 0x51 377}; 378 379static const EC_CURVE_DATA _EC_SECG_PRIME_160R2 = { 380 NID_X9_62_prime_field, 381 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", 382 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70", 383 "B4E134D3FB59EB8BAB57274904664D5AF50388BA", 384 "52DCB034293A117E1F4FF11B30F7199D3144CE6D", 385 "feaffef2e331f296e071fa0df9982cfea7d43f2e", 386 "0100000000000000000000351EE786A818F3A1A16B", 1, 387 _EC_SECG_PRIME_160R2_SEED, 20, 388 "SECG/WTLS curve over a 160 bit prime field" 389}; 390 391static const EC_CURVE_DATA _EC_SECG_PRIME_192K1 = { 392 NID_X9_62_prime_field, 393 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37", 394 "0", 395 "3", 396 "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D", 397 "9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d", 398 "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D", 1, 399 NULL, 20, 400 "SECG curve over a 192 bit prime field" 401}; 402 403static const EC_CURVE_DATA _EC_SECG_PRIME_224K1 = { 404 NID_X9_62_prime_field, 405 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D", 406 "0", 407 "5", 408 "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C", 409 "7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5", 410 "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7", 1, 411 NULL, 20, 412 "SECG curve over a 224 bit prime field" 413}; 414 415static const EC_CURVE_DATA _EC_SECG_PRIME_256K1 = { 416 NID_X9_62_prime_field, 417 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F", 418 "0", 419 "7", 420 "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798", 421 "483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8", 422 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141", 1, 423 NULL, 20, 424 "SECG curve over a 256 bit prime field" 425}; 426 427/* some wap/wtls curves */ 428static const EC_CURVE_DATA _EC_WTLS_8 = { 429 NID_X9_62_prime_field, 430 "FFFFFFFFFFFFFFFFFFFFFFFFFDE7", 431 "0", 432 "3", 433 "1", 434 "2", 435 "0100000000000001ECEA551AD837E9", 1, 436 NULL, 20, 437 "WTLS curve over a 112 bit prime field" 438}; 439 440static const EC_CURVE_DATA _EC_WTLS_9 = { 441 NID_X9_62_prime_field, 442 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC808F", 443 "0", 444 "3", 445 "1", 446 "2", 447 "0100000000000000000001CDC98AE0E2DE574ABF33", 1, 448 NULL, 20, 449 "WTLS curve over a 160 bit prime field" 450}; 451 452static const EC_CURVE_DATA _EC_WTLS_12 = { 453 NID_X9_62_prime_field, 454 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", 455 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", 456 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", 457 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", 458 "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34", 459 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1, 460 NULL, 0, 461 "WTLS curvs over a 224 bit prime field" 462}; 463 464/* characteristic two curves */ 465static const unsigned char _EC_SECG_CHAR2_113R1_SEED[] = { 466 0x10, 0xE7, 0x23, 0xAB, 0x14, 0xD6, 0x96, 0xE6, 0x76, 0x87, 467 0x56, 0x15, 0x17, 0x56, 0xFE, 0xBF, 0x8F, 0xCB, 0x49, 0xA9 468}; 469 470static const EC_CURVE_DATA _EC_SECG_CHAR2_113R1 = { 471 NID_X9_62_characteristic_two_field, 472 "020000000000000000000000000201", 473 "003088250CA6E7C7FE649CE85820F7", 474 "00E8BEE4D3E2260744188BE0E9C723", 475 "009D73616F35F4AB1407D73562C10F", 476 "00A52830277958EE84D1315ED31886", 477 "0100000000000000D9CCEC8A39E56F", 2, 478 _EC_SECG_CHAR2_113R1_SEED, 20, 479 "SECG curve over a 113 bit binary field" 480}; 481 482static const unsigned char _EC_SECG_CHAR2_113R2_SEED[] = { 483 0x10, 0xC0, 0xFB, 0x15, 0x76, 0x08, 0x60, 0xDE, 0xF1, 0xEE, 484 0xF4, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, 0x17, 0x5D 485}; 486 487static const EC_CURVE_DATA _EC_SECG_CHAR2_113R2 = { 488 NID_X9_62_characteristic_two_field, 489 "020000000000000000000000000201", 490 "00689918DBEC7E5A0DD6DFC0AA55C7", 491 "0095E9A9EC9B297BD4BF36E059184F", 492 "01A57A6A7B26CA5EF52FCDB8164797", 493 "00B3ADC94ED1FE674C06E695BABA1D", 494 "010000000000000108789B2496AF93", 2, 495 _EC_SECG_CHAR2_113R2_SEED, 20, 496 "SECG curve over a 113 bit binary field" 497}; 498 499static const unsigned char _EC_SECG_CHAR2_131R1_SEED[] = { 500 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75, 0x98, 501 0x5B, 0xD3, 0xAD, 0xBA, 0xDA, 0x21, 0xB4, 0x3A, 0x97, 0xE2 502}; 503 504static const EC_CURVE_DATA _EC_SECG_CHAR2_131R1 = { 505 NID_X9_62_characteristic_two_field, 506 "080000000000000000000000000000010D", 507 "07A11B09A76B562144418FF3FF8C2570B8", 508 "0217C05610884B63B9C6C7291678F9D341", 509 "0081BAF91FDF9833C40F9C181343638399", 510 "078C6E7EA38C001F73C8134B1B4EF9E150", 511 "0400000000000000023123953A9464B54D", 2, 512 _EC_SECG_CHAR2_131R1_SEED, 20, 513 "SECG/WTLS curve over a 131 bit binary field" 514}; 515 516static const unsigned char _EC_SECG_CHAR2_131R2_SEED[] = { 517 0x98, 0x5B, 0xD3, 0xAD, 0xBA, 0xD4, 0xD6, 0x96, 0xE6, 0x76, 518 0x87, 0x56, 0x15, 0x17, 0x5A, 0x21, 0xB4, 0x3A, 0x97, 0xE3 519}; 520 521static const EC_CURVE_DATA _EC_SECG_CHAR2_131R2 = { 522 NID_X9_62_characteristic_two_field, 523 "080000000000000000000000000000010D", 524 "03E5A88919D7CAFCBF415F07C2176573B2", 525 "04B8266A46C55657AC734CE38F018F2192", 526 "0356DCD8F2F95031AD652D23951BB366A8", 527 "0648F06D867940A5366D9E265DE9EB240F", 528 "0400000000000000016954A233049BA98F", 2, 529 _EC_SECG_CHAR2_131R2_SEED, 20, 530 "SECG curve over a 131 bit binary field" 531}; 532 533static const EC_CURVE_DATA _EC_NIST_CHAR2_163K = { 534 NID_X9_62_characteristic_two_field, 535 "0800000000000000000000000000000000000000C9", 536 "1", 537 "1", 538 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", 539 "0289070FB05D38FF58321F2E800536D538CCDAA3D9", 540 "04000000000000000000020108A2E0CC0D99F8A5EF", 2, 541 NULL, 0, 542 "NIST/SECG/WTLS curve over a 163 bit binary field" 543}; 544 545static const unsigned char _EC_SECG_CHAR2_163R1_SEED[] = { 546 0x24, 0xB7, 0xB1, 0x37, 0xC8, 0xA1, 0x4D, 0x69, 0x6E, 0x67, 547 0x68, 0x75, 0x61, 0x51, 0x75, 0x6F, 0xD0, 0xDA, 0x2E, 0x5C 548}; 549 550static const EC_CURVE_DATA _EC_SECG_CHAR2_163R1 = { 551 NID_X9_62_characteristic_two_field, 552 "0800000000000000000000000000000000000000C9", 553 "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2", 554 "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9", 555 "0369979697AB43897789566789567F787A7876A654", 556 "00435EDB42EFAFB2989D51FEFCE3C80988F41FF883", 557 "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B", 2, 558 /* 559 * The algorithm used to derive the curve parameters from the seed used 560 * here is slightly different than the algorithm described in X9.62 . 561 */ 562#if 0 563 _EC_SECG_CHAR2_163R1_SEED, 20, 564#else 565 NULL, 0, 566#endif 567 "SECG curve over a 163 bit binary field" 568}; 569 570static const unsigned char _EC_NIST_CHAR2_163B_SEED[] = { 571 0x85, 0xE2, 0x5B, 0xFE, 0x5C, 0x86, 0x22, 0x6C, 0xDB, 0x12, 572 0x01, 0x6F, 0x75, 0x53, 0xF9, 0xD0, 0xE6, 0x93, 0xA2, 0x68 573}; 574 575static const EC_CURVE_DATA _EC_NIST_CHAR2_163B = { 576 NID_X9_62_characteristic_two_field, 577 "0800000000000000000000000000000000000000C9", 578 "1", 579 "020A601907B8C953CA1481EB10512F78744A3205FD", 580 "03F0EBA16286A2D57EA0991168D4994637E8343E36", 581 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", 582 "040000000000000000000292FE77E70C12A4234C33", 2, 583 /* 584 * The seed here was used to created the curve parameters in normal basis 585 * representation (and not the polynomial representation used here) 586 */ 587#if 0 588 _EC_NIST_CHAR2_163B_SEED, 20, 589#else 590 NULL, 0, 591#endif 592 "NIST/SECG curve over a 163 bit binary field" 593}; 594 595static const unsigned char _EC_SECG_CHAR2_193R1_SEED[] = { 596 0x10, 0x3F, 0xAE, 0xC7, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 597 0x61, 0x51, 0x75, 0x77, 0x7F, 0xC5, 0xB1, 0x91, 0xEF, 0x30 598}; 599 600static const EC_CURVE_DATA _EC_SECG_CHAR2_193R1 = { 601 NID_X9_62_characteristic_two_field, 602 "02000000000000000000000000000000000000000000008001", 603 "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01", 604 "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814", 605 "01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1", 606 "0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05", 607 "01000000000000000000000000C7F34A778F443ACC920EBA49", 2, 608 _EC_SECG_CHAR2_193R1_SEED, 20, 609 "SECG curve over a 193 bit binary field" 610}; 611 612static const unsigned char _EC_SECG_CHAR2_193R2_SEED[] = { 613 0x10, 0xB7, 0xB4, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, 614 0x17, 0x51, 0x37, 0xC8, 0xA1, 0x6F, 0xD0, 0xDA, 0x22, 0x11 615}; 616 617static const EC_CURVE_DATA _EC_SECG_CHAR2_193R2 = { 618 NID_X9_62_characteristic_two_field, 619 "02000000000000000000000000000000000000000000008001", 620 "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B", 621 "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE", 622 "00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F", 623 "01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C", 624 "010000000000000000000000015AAB561B005413CCD4EE99D5", 2, 625 _EC_SECG_CHAR2_193R2_SEED, 20, 626 "SECG curve over a 193 bit binary field" 627}; 628 629static const EC_CURVE_DATA _EC_NIST_CHAR2_233K = { 630 NID_X9_62_characteristic_two_field, 631 "020000000000000000000000000000000000000004000000000000000001", 632 "0", 633 "1", 634 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", 635 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", 636 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4, 637 NULL, 0, 638 "NIST/SECG/WTLS curve over a 233 bit binary field" 639}; 640 641static const unsigned char _EC_NIST_CHAR2_233B_SEED[] = { 642 0x74, 0xD5, 0x9F, 0xF0, 0x7F, 0x6B, 0x41, 0x3D, 0x0E, 0xA1, 643 0x4B, 0x34, 0x4B, 0x20, 0xA2, 0xDB, 0x04, 0x9B, 0x50, 0xC3 644}; 645 646static const EC_CURVE_DATA _EC_NIST_CHAR2_233B = { 647 NID_X9_62_characteristic_two_field, 648 "020000000000000000000000000000000000000004000000000000000001", 649 "000000000000000000000000000000000000000000000000000000000001", 650 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", 651 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", 652 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", 653 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2, 654 _EC_NIST_CHAR2_233B_SEED, 20, 655 "NIST/SECG/WTLS curve over a 233 bit binary field" 656}; 657 658static const EC_CURVE_DATA _EC_SECG_CHAR2_239K1 = { 659 NID_X9_62_characteristic_two_field, 660 "800000000000000000004000000000000000000000000000000000000001", 661 "0", 662 "1", 663 "29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC", 664 "76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA", 665 "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5", 4, 666 NULL, 0, 667 "SECG curve over a 239 bit binary field" 668}; 669 670static const EC_CURVE_DATA _EC_NIST_CHAR2_283K = { 671 NID_X9_62_characteristic_two_field, 672 "080000000000000000000000000000000000000000000000000000000000000000001" 673 "0A1", 674 "0", 675 "1", 676 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492" 677 "836", 678 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2" 679 "259", 680 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163" 681 "C61", 4, 682 NULL, 20, 683 "NIST/SECG curve over a 283 bit binary field" 684}; 685 686static const unsigned char _EC_NIST_CHAR2_283B_SEED[] = { 687 0x77, 0xE2, 0xB0, 0x73, 0x70, 0xEB, 0x0F, 0x83, 0x2A, 0x6D, 688 0xD5, 0xB6, 0x2D, 0xFC, 0x88, 0xCD, 0x06, 0xBB, 0x84, 0xBE 689}; 690 691static const EC_CURVE_DATA _EC_NIST_CHAR2_283B = { 692 NID_X9_62_characteristic_two_field, 693 "080000000000000000000000000000000000000000000000000000000000000000001" 694 "0A1", 695 "000000000000000000000000000000000000000000000000000000000000000000000" 696 "001", 697 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A" 698 "2F5", 699 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12" 700 "053", 701 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE811" 702 "2F4", 703 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB" 704 "307", 2, 705 _EC_NIST_CHAR2_283B_SEED, 20, 706 "NIST/SECG curve over a 283 bit binary field" 707}; 708 709static const EC_CURVE_DATA _EC_NIST_CHAR2_409K = { 710 NID_X9_62_characteristic_two_field, 711 "020000000000000000000000000000000000000000000000000000000000000000000" 712 "00000000000008000000000000000000001", 713 "0", 714 "1", 715 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C4601" 716 "89EB5AAAA62EE222EB1B35540CFE9023746", 717 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6" 718 "C42E9C55215AA9CA27A5863EC48D8E0286B", 719 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400" 720 "EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 4, 721 NULL, 0, 722 "NIST/SECG curve over a 409 bit binary field" 723}; 724 725static const unsigned char _EC_NIST_CHAR2_409B_SEED[] = { 726 0x40, 0x99, 0xB5, 0xA4, 0x57, 0xF9, 0xD6, 0x9F, 0x79, 0x21, 727 0x3D, 0x09, 0x4C, 0x4B, 0xCD, 0x4D, 0x42, 0x62, 0x21, 0x0B 728}; 729 730static const EC_CURVE_DATA _EC_NIST_CHAR2_409B = { 731 NID_X9_62_characteristic_two_field, 732 "020000000000000000000000000000000000000000000000000000000000000000000" 733 "00000000000008000000000000000000001", 734 "000000000000000000000000000000000000000000000000000000000000000000000" 735 "00000000000000000000000000000000001", 736 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A19" 737 "7B272822F6CD57A55AA4F50AE317B13545F", 738 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255" 739 "A868A1180515603AEAB60794E54BB7996A7", 740 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514" 741 "F1FDF4B4F40D2181B3681C364BA0273C706", 742 "010000000000000000000000000000000000000000000000000001E2AAD6A612F3330" 743 "7BE5FA47C3C9E052F838164CD37D9A21173", 2, 744 _EC_NIST_CHAR2_409B_SEED, 20, 745 "NIST/SECG curve over a 409 bit binary field" 746}; 747 748static const EC_CURVE_DATA _EC_NIST_CHAR2_571K = { 749 NID_X9_62_characteristic_two_field, 750 "800000000000000000000000000000000000000000000000000000000000000000000" 751 "000000000000000000000000000000000000000000000000000000000000000000000" 752 "00425", 753 "0", 754 "1", 755 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA443709" 756 "58493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A0" 757 "1C8972", 758 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D497" 759 "9C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143E" 760 "F1C7A3", 761 "020000000000000000000000000000000000000000000000000000000000000000000" 762 "000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F63" 763 "7C1001", 4, 764 NULL, 0, 765 "NIST/SECG curve over a 571 bit binary field" 766}; 767 768static const unsigned char _EC_NIST_CHAR2_571B_SEED[] = { 769 0x2A, 0xA0, 0x58, 0xF7, 0x3A, 0x0E, 0x33, 0xAB, 0x48, 0x6B, 770 0x0F, 0x61, 0x04, 0x10, 0xC5, 0x3A, 0x7F, 0x13, 0x23, 0x10 771}; 772 773static const EC_CURVE_DATA _EC_NIST_CHAR2_571B = { 774 NID_X9_62_characteristic_two_field, 775 "800000000000000000000000000000000000000000000000000000000000000000000" 776 "000000000000000000000000000000000000000000000000000000000000000000000" 777 "00425", 778 "000000000000000000000000000000000000000000000000000000000000000000000" 779 "000000000000000000000000000000000000000000000000000000000000000000000" 780 "000001", 781 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFA" 782 "BBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F29" 783 "55727A", 784 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53" 785 "950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8E" 786 "EC2D19", 787 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423" 788 "E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B" 789 "8AC15B", 790 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 791 "FFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2F" 792 "E84E47", 2, 793 _EC_NIST_CHAR2_571B_SEED, 20, 794 "NIST/SECG curve over a 571 bit binary field" 795}; 796 797static const unsigned char _EC_X9_62_CHAR2_163V1_SEED[] = { 798 0xD2, 0xC0, 0xFB, 0x15, 0x76, 0x08, 0x60, 0xDE, 0xF1, 0xEE, 799 0xF4, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, 0x17, 0x54 800}; 801 802static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V1 = { 803 NID_X9_62_characteristic_two_field, 804 "080000000000000000000000000000000000000107", 805 "072546B5435234A422E0789675F432C89435DE5242", 806 "00C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9", 807 "07AF69989546103D79329FCC3D74880F33BBE803CB", 808 "01EC23211B5966ADEA1D3F87F7EA5848AEF0B7CA9F", 809 "0400000000000000000001E60FC8821CC74DAEAFC1", 2, 810 _EC_X9_62_CHAR2_163V1_SEED, 20, 811 "X9.62 curve over a 163 bit binary field" 812}; 813 814static const unsigned char _EC_X9_62_CHAR2_163V2_SEED[] = { 815 0x53, 0x81, 0x4C, 0x05, 0x0D, 0x44, 0xD6, 0x96, 0xE6, 0x76, 816 0x87, 0x56, 0x15, 0x17, 0x58, 0x0C, 0xA4, 0xE2, 0x9F, 0xFD 817}; 818 819static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V2 = { 820 NID_X9_62_characteristic_two_field, 821 "080000000000000000000000000000000000000107", 822 "0108B39E77C4B108BED981ED0E890E117C511CF072", 823 "0667ACEB38AF4E488C407433FFAE4F1C811638DF20", 824 "0024266E4EB5106D0A964D92C4860E2671DB9B6CC5", 825 "079F684DDF6684C5CD258B3890021B2386DFD19FC5", 826 "03FFFFFFFFFFFFFFFFFFFDF64DE1151ADBB78F10A7", 2, 827 _EC_X9_62_CHAR2_163V2_SEED, 20, 828 "X9.62 curve over a 163 bit binary field" 829}; 830 831static const unsigned char _EC_X9_62_CHAR2_163V3_SEED[] = { 832 0x50, 0xCB, 0xF1, 0xD9, 0x5C, 0xA9, 0x4D, 0x69, 0x6E, 0x67, 833 0x68, 0x75, 0x61, 0x51, 0x75, 0xF1, 0x6A, 0x36, 0xA3, 0xB8 834}; 835 836static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V3 = { 837 NID_X9_62_characteristic_two_field, 838 "080000000000000000000000000000000000000107", 839 "07A526C63D3E25A256A007699F5447E32AE456B50E", 840 "03F7061798EB99E238FD6F1BF95B48FEEB4854252B", 841 "02F9F87B7C574D0BDECF8A22E6524775F98CDEBDCB", 842 "05B935590C155E17EA48EB3FF3718B893DF59A05D0", 843 "03FFFFFFFFFFFFFFFFFFFE1AEE140F110AFF961309", 2, 844 _EC_X9_62_CHAR2_163V3_SEED, 20, 845 "X9.62 curve over a 163 bit binary field" 846}; 847 848static const EC_CURVE_DATA _EC_X9_62_CHAR2_176V1 = { 849 NID_X9_62_characteristic_two_field, 850 "0100000000000000000000000000000000080000000007", 851 "E4E6DB2995065C407D9D39B8D0967B96704BA8E9C90B", 852 "5DDA470ABE6414DE8EC133AE28E9BBD7FCEC0AE0FFF2", 853 "8D16C2866798B600F9F08BB4A8E860F3298CE04A5798", 854 "6FA4539C2DADDDD6BAB5167D61B436E1D92BB16A562C", 855 "00010092537397ECA4F6145799D62B0A19CE06FE26AD", 0xFF6E, 856 NULL, 0, 857 "X9.62 curve over a 176 bit binary field" 858}; 859 860static const unsigned char _EC_X9_62_CHAR2_191V1_SEED[] = { 861 0x4E, 0x13, 0xCA, 0x54, 0x27, 0x44, 0xD6, 0x96, 0xE6, 0x76, 862 0x87, 0x56, 0x15, 0x17, 0x55, 0x2F, 0x27, 0x9A, 0x8C, 0x84 863}; 864 865static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V1 = { 866 NID_X9_62_characteristic_two_field, 867 "800000000000000000000000000000000000000000000201", 868 "2866537B676752636A68F56554E12640276B649EF7526267", 869 "2E45EF571F00786F67B0081B9495A3D95462F5DE0AA185EC", 870 "36B3DAF8A23206F9C4F299D7B21A9C369137F2C84AE1AA0D", 871 "765BE73433B3F95E332932E70EA245CA2418EA0EF98018FB", 872 "40000000000000000000000004A20E90C39067C893BBB9A5", 2, 873 _EC_X9_62_CHAR2_191V1_SEED, 20, 874 "X9.62 curve over a 191 bit binary field" 875}; 876 877static const unsigned char _EC_X9_62_CHAR2_191V2_SEED[] = { 878 0x08, 0x71, 0xEF, 0x2F, 0xEF, 0x24, 0xD6, 0x96, 0xE6, 0x76, 879 0x87, 0x56, 0x15, 0x17, 0x58, 0xBE, 0xE0, 0xD9, 0x5C, 0x15 880}; 881 882static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V2 = { 883 NID_X9_62_characteristic_two_field, 884 "800000000000000000000000000000000000000000000201", 885 "401028774D7777C7B7666D1366EA432071274F89FF01E718", 886 "0620048D28BCBD03B6249C99182B7C8CD19700C362C46A01", 887 "3809B2B7CC1B28CC5A87926AAD83FD28789E81E2C9E3BF10", 888 "17434386626D14F3DBF01760D9213A3E1CF37AEC437D668A", 889 "20000000000000000000000050508CB89F652824E06B8173", 4, 890 _EC_X9_62_CHAR2_191V2_SEED, 20, 891 "X9.62 curve over a 191 bit binary field" 892}; 893 894static const unsigned char _EC_X9_62_CHAR2_191V3_SEED[] = { 895 0xE0, 0x53, 0x51, 0x2D, 0xC6, 0x84, 0xD6, 0x96, 0xE6, 0x76, 896 0x87, 0x56, 0x15, 0x17, 0x50, 0x67, 0xAE, 0x78, 0x6D, 0x1F 897}; 898 899static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V3 = { 900 NID_X9_62_characteristic_two_field, 901 "800000000000000000000000000000000000000000000201", 902 "6C01074756099122221056911C77D77E77A777E7E7E77FCB", 903 "71FE1AF926CF847989EFEF8DB459F66394D90F32AD3F15E8", 904 "375D4CE24FDE434489DE8746E71786015009E66E38A926DD", 905 "545A39176196575D985999366E6AD34CE0A77CD7127B06BE", 906 "155555555555555555555555610C0B196812BFB6288A3EA3", 6, 907 _EC_X9_62_CHAR2_191V3_SEED, 20, 908 "X9.62 curve over a 191 bit binary field" 909}; 910 911static const EC_CURVE_DATA _EC_X9_62_CHAR2_208W1 = { 912 NID_X9_62_characteristic_two_field, 913 "010000000000000000000000000000000800000000000000000007", 914 "0000000000000000000000000000000000000000000000000000", 915 "C8619ED45A62E6212E1160349E2BFA844439FAFC2A3FD1638F9E", 916 "89FDFBE4ABE193DF9559ECF07AC0CE78554E2784EB8C1ED1A57A", 917 "0F55B51A06E78E9AC38A035FF520D8B01781BEB1A6BB08617DE3", 918 "000101BAF95C9723C57B6C21DA2EFF2D5ED588BDD5717E212F9D", 0xFE48, 919 NULL, 0, 920 "X9.62 curve over a 208 bit binary field" 921}; 922 923static const unsigned char _EC_X9_62_CHAR2_239V1_SEED[] = { 924 0xD3, 0x4B, 0x9A, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 925 0x51, 0x75, 0xCA, 0x71, 0xB9, 0x20, 0xBF, 0xEF, 0xB0, 0x5D 926}; 927 928static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V1 = { 929 NID_X9_62_characteristic_two_field, 930 "800000000000000000000000000000000000000000000000001000000001", 931 "32010857077C5431123A46B808906756F543423E8D27877578125778AC76", 932 "790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16", 933 "57927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D", 934 "61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305", 935 "2000000000000000000000000000000F4D42FFE1492A4993F1CAD666E447", 4, 936 _EC_X9_62_CHAR2_239V1_SEED, 20, 937 "X9.62 curve over a 239 bit binary field" 938}; 939 940static const unsigned char _EC_X9_62_CHAR2_239V2_SEED[] = { 941 0x2A, 0xA6, 0x98, 0x2F, 0xDF, 0xA4, 0xD6, 0x96, 0xE6, 0x76, 942 0x87, 0x56, 0x15, 0x17, 0x5D, 0x26, 0x67, 0x27, 0x27, 0x7D 943}; 944 945static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V2 = { 946 NID_X9_62_characteristic_two_field, 947 "800000000000000000000000000000000000000000000000001000000001", 948 "4230017757A767FAE42398569B746325D45313AF0766266479B75654E65F", 949 "5037EA654196CFF0CD82B2C14A2FCF2E3FF8775285B545722F03EACDB74B", 950 "28F9D04E900069C8DC47A08534FE76D2B900B7D7EF31F5709F200C4CA205", 951 "5667334C45AFF3B5A03BAD9DD75E2C71A99362567D5453F7FA6E227EC833", 952 "1555555555555555555555555555553C6F2885259C31E3FCDF154624522D", 6, 953 _EC_X9_62_CHAR2_239V2_SEED, 20, 954 "X9.62 curve over a 239 bit binary field" 955}; 956 957static const unsigned char _EC_X9_62_CHAR2_239V3_SEED[] = { 958 0x9E, 0x07, 0x6F, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 959 0x51, 0x75, 0xE1, 0x1E, 0x9F, 0xDD, 0x77, 0xF9, 0x20, 0x41 960}; 961 962static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V3 = { 963 NID_X9_62_characteristic_two_field, 964 "800000000000000000000000000000000000000000000000001000000001", 965 "01238774666A67766D6676F778E676B66999176666E687666D8766C66A9F", 966 "6A941977BA9F6A435199ACFC51067ED587F519C5ECB541B8E44111DE1D40", 967 "70F6E9D04D289C4E89913CE3530BFDE903977D42B146D539BF1BDE4E9C92", 968 "2E5A0EAF6E5E1305B9004DCE5C0ED7FE59A35608F33837C816D80B79F461", 969 "0CCCCCCCCCCCCCCCCCCCCCCCCCCCCCAC4912D2D9DF903EF9888B8A0E4CFF", 0xA, 970 _EC_X9_62_CHAR2_239V3_SEED, 20, 971 "X9.62 curve over a 239 bit binary field" 972}; 973 974static const EC_CURVE_DATA _EC_X9_62_CHAR2_272W1 = { 975 NID_X9_62_characteristic_two_field, 976 "010000000000000000000000000000000000000000000000000000010000000000000" 977 "B", 978 "91A091F03B5FBA4AB2CCF49C4EDD220FB028712D42BE752B2C40094DBACDB586FB20", 979 "7167EFC92BB2E3CE7C8AAAFF34E12A9C557003D7C73A6FAF003F99F6CC8482E540F7", 980 "6108BABB2CEEBCF787058A056CBE0CFE622D7723A289E08A07AE13EF0D10D171DD8D", 981 "10C7695716851EEF6BA7F6872E6142FBD241B830FF5EFCACECCAB05E02005DDE9D23", 982 "000100FAF51354E0E39E4892DF6E319C72C8161603FA45AA7B998A167B8F1E629521", 983 0xFF06, 984 NULL, 0, 985 "X9.62 curve over a 272 bit binary field" 986}; 987 988static const EC_CURVE_DATA _EC_X9_62_CHAR2_304W1 = { 989 NID_X9_62_characteristic_two_field, 990 "010000000000000000000000000000000000000000000000000000000000000000000" 991 "000000807", 992 "FD0D693149A118F651E6DCE6802085377E5F882D1B510B44160074C1288078365A039" 993 "6C8E681", 994 "BDDB97E555A50A908E43B01C798EA5DAA6788F1EA2794EFCF57166B8C14039601E558" 995 "27340BE", 996 "197B07845E9BE2D96ADB0F5F3C7F2CFFBD7A3EB8B6FEC35C7FD67F26DDF6285A644F7" 997 "40A2614", 998 "E19FBEB76E0DA171517ECF401B50289BF014103288527A9B416A105E80260B549FDC1" 999 "B92C03B", 1000 "000101D556572AABAC800101D556572AABAC8001022D5C91DD173F8FB561DA6899164" 1001 "443051D", 0xFE2E, 1002 NULL, 0, 1003 "X9.62 curve over a 304 bit binary field" 1004}; 1005 1006static const unsigned char _EC_X9_62_CHAR2_359V1_SEED[] = { 1007 0x2B, 0x35, 0x49, 0x20, 0xB7, 0x24, 0xD6, 0x96, 0xE6, 0x76, 1008 0x87, 0x56, 0x15, 0x17, 0x58, 0x5B, 0xA1, 0x33, 0x2D, 0xC6 1009}; 1010 1011static const EC_CURVE_DATA _EC_X9_62_CHAR2_359V1 = { 1012 NID_X9_62_characteristic_two_field, 1013 "800000000000000000000000000000000000000000000000000000000000000000000" 1014 "000100000000000000001", 1015 "5667676A654B20754F356EA92017D946567C46675556F19556A04616B567D223A5E05" 1016 "656FB549016A96656A557", 1017 "2472E2D0197C49363F1FE7F5B6DB075D52B6947D135D8CA445805D39BC34562608968" 1018 "7742B6329E70680231988", 1019 "3C258EF3047767E7EDE0F1FDAA79DAEE3841366A132E163ACED4ED2401DF9C6BDCDE9" 1020 "8E8E707C07A2239B1B097", 1021 "53D7E08529547048121E9C95F3791DD804963948F34FAE7BF44EA82365DC7868FE57E" 1022 "4AE2DE211305A407104BD", 1023 "01AF286BCA1AF286BCA1AF286BCA1AF286BCA1AF286BC9FB8F6B85C556892C20A7EB9" 1024 "64FE7719E74F490758D3B", 0x4C, 1025 _EC_X9_62_CHAR2_359V1_SEED, 20, 1026 "X9.62 curve over a 359 bit binary field" 1027}; 1028 1029static const EC_CURVE_DATA _EC_X9_62_CHAR2_368W1 = { 1030 NID_X9_62_characteristic_two_field, 1031 "010000000000000000000000000000000000000000000000000000000000000000000" 1032 "0002000000000000000000007", 1033 "E0D2EE25095206F5E2A4F9ED229F1F256E79A0E2B455970D8D0D865BD94778C576D62" 1034 "F0AB7519CCD2A1A906AE30D", 1035 "FC1217D4320A90452C760A58EDCD30C8DD069B3C34453837A34ED50CB54917E1C2112" 1036 "D84D164F444F8F74786046A", 1037 "1085E2755381DCCCE3C1557AFA10C2F0C0C2825646C5B34A394CBCFA8BC16B22E7E78" 1038 "9E927BE216F02E1FB136A5F", 1039 "7B3EB1BDDCBA62D5D8B2059B525797FC73822C59059C623A45FF3843CEE8F87CD1855" 1040 "ADAA81E2A0750B80FDA2310", 1041 "00010090512DA9AF72B08349D98A5DD4C7B0532ECA51CE03E2D10F3B7AC579BD87E90" 1042 "9AE40A6F131E9CFCE5BD967", 0xFF70, 1043 NULL, 0, 1044 "X9.62 curve over a 368 bit binary field" 1045}; 1046 1047static const EC_CURVE_DATA _EC_X9_62_CHAR2_431R1 = { 1048 NID_X9_62_characteristic_two_field, 1049 "800000000000000000000000000000000000000000000000000000000000000000000" 1050 "000000001000000000000000000000000000001", 1051 "1A827EF00DD6FC0E234CAF046C6A5D8A85395B236CC4AD2CF32A0CADBDC9DDF620B0E" 1052 "B9906D0957F6C6FEACD615468DF104DE296CD8F", 1053 "10D9B4A3D9047D8B154359ABFB1B7F5485B04CEB868237DDC9DEDA982A679A5A919B6" 1054 "26D4E50A8DD731B107A9962381FB5D807BF2618", 1055 "120FC05D3C67A99DE161D2F4092622FECA701BE4F50F4758714E8A87BBF2A658EF8C2" 1056 "1E7C5EFE965361F6C2999C0C247B0DBD70CE6B7", 1057 "20D0AF8903A96F8D5FA2C255745D3C451B302C9346D9B7E485E7BCE41F6B591F3E8F6" 1058 "ADDCBB0BC4C2F947A7DE1A89B625D6A598B3760", 1059 "0340340340340340340340340340340340340340340340340340340323C313FAB5058" 1060 "9703B5EC68D3587FEC60D161CC149C1AD4A91", 0x2760, 1061 NULL, 0, 1062 "X9.62 curve over a 431 bit binary field" 1063}; 1064 1065static const EC_CURVE_DATA _EC_WTLS_1 = { 1066 NID_X9_62_characteristic_two_field, 1067 "020000000000000000000000000201", 1068 "1", 1069 "1", 1070 "01667979A40BA497E5D5C270780617", 1071 "00F44B4AF1ECC2630E08785CEBCC15", 1072 "00FFFFFFFFFFFFFFFDBF91AF6DEA73", 2, 1073 NULL, 0, 1074 "WTLS curve over a 113 bit binary field" 1075}; 1076 1077/* IPSec curves */ 1078/* 1079 * NOTE: The of curves over a extension field of non prime degree is not 1080 * recommended (Weil-descent). As the group order is not a prime this curve 1081 * is not suitable for ECDSA. 1082 */ 1083static const EC_CURVE_DATA _EC_IPSEC_155_ID3 = { 1084 NID_X9_62_characteristic_two_field, 1085 "0800000000000000000000004000000000000001", 1086 "0", 1087 "07338f", 1088 "7b", 1089 "1c8", 1090 "2AAAAAAAAAAAAAAAAAAC7F3C7881BD0868FA86C", 3, 1091 NULL, 0, 1092 "\n\tIPSec/IKE/Oakley curve #3 over a 155 bit binary field.\n" 1093 "\tNot suitable for ECDSA.\n\tQuestionable extension field!" 1094}; 1095 1096/* 1097 * NOTE: The of curves over a extension field of non prime degree is not 1098 * recommended (Weil-descent). As the group order is not a prime this curve 1099 * is not suitable for ECDSA. 1100 */ 1101static const EC_CURVE_DATA _EC_IPSEC_185_ID4 = { 1102 NID_X9_62_characteristic_two_field, 1103 "020000000000000000000000000000200000000000000001", 1104 "0", 1105 "1ee9", 1106 "18", 1107 "0d", 1108 "FFFFFFFFFFFFFFFFFFFFFFEDF97C44DB9F2420BAFCA75E", 2, 1109 NULL, 0, 1110 "\n\tIPSec/IKE/Oakley curve #4 over a 185 bit binary field.\n" 1111 "\tNot suitable for ECDSA.\n\tQuestionable extension field!" 1112}; 1113 1114typedef struct _ec_list_element_st { 1115 int nid; 1116 const EC_CURVE_DATA *data; 1117} ec_list_element; 1118 1119static const ec_list_element curve_list[] = { 1120 /* prime field curves */ 1121 /* secg curves */ 1122 {NID_secp112r1, &_EC_SECG_PRIME_112R1}, 1123 {NID_secp112r2, &_EC_SECG_PRIME_112R2}, 1124 {NID_secp128r1, &_EC_SECG_PRIME_128R1}, 1125 {NID_secp128r2, &_EC_SECG_PRIME_128R2}, 1126 {NID_secp160k1, &_EC_SECG_PRIME_160K1}, 1127 {NID_secp160r1, &_EC_SECG_PRIME_160R1}, 1128 {NID_secp160r2, &_EC_SECG_PRIME_160R2}, 1129 /* SECG secp192r1 is the same as X9.62 prime192v1 and hence omitted */ 1130 {NID_secp192k1, &_EC_SECG_PRIME_192K1}, 1131 {NID_secp224k1, &_EC_SECG_PRIME_224K1}, 1132 {NID_secp224r1, &_EC_NIST_PRIME_224}, 1133 {NID_secp256k1, &_EC_SECG_PRIME_256K1}, 1134 /* SECG secp256r1 is the same as X9.62 prime256v1 and hence omitted */ 1135 {NID_secp384r1, &_EC_NIST_PRIME_384}, 1136 {NID_secp521r1, &_EC_NIST_PRIME_521}, 1137 /* X9.62 curves */ 1138 {NID_X9_62_prime192v1, &_EC_NIST_PRIME_192}, 1139 {NID_X9_62_prime192v2, &_EC_X9_62_PRIME_192V2}, 1140 {NID_X9_62_prime192v3, &_EC_X9_62_PRIME_192V3}, 1141 {NID_X9_62_prime239v1, &_EC_X9_62_PRIME_239V1}, 1142 {NID_X9_62_prime239v2, &_EC_X9_62_PRIME_239V2}, 1143 {NID_X9_62_prime239v3, &_EC_X9_62_PRIME_239V3}, 1144 {NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1}, 1145 /* characteristic two field curves */ 1146 /* NIST/SECG curves */ 1147 {NID_sect113r1, &_EC_SECG_CHAR2_113R1}, 1148 {NID_sect113r2, &_EC_SECG_CHAR2_113R2}, 1149 {NID_sect131r1, &_EC_SECG_CHAR2_131R1}, 1150 {NID_sect131r2, &_EC_SECG_CHAR2_131R2}, 1151 {NID_sect163k1, &_EC_NIST_CHAR2_163K}, 1152 {NID_sect163r1, &_EC_SECG_CHAR2_163R1}, 1153 {NID_sect163r2, &_EC_NIST_CHAR2_163B}, 1154 {NID_sect193r1, &_EC_SECG_CHAR2_193R1}, 1155 {NID_sect193r2, &_EC_SECG_CHAR2_193R2}, 1156 {NID_sect233k1, &_EC_NIST_CHAR2_233K}, 1157 {NID_sect233r1, &_EC_NIST_CHAR2_233B}, 1158 {NID_sect239k1, &_EC_SECG_CHAR2_239K1}, 1159 {NID_sect283k1, &_EC_NIST_CHAR2_283K}, 1160 {NID_sect283r1, &_EC_NIST_CHAR2_283B}, 1161 {NID_sect409k1, &_EC_NIST_CHAR2_409K}, 1162 {NID_sect409r1, &_EC_NIST_CHAR2_409B}, 1163 {NID_sect571k1, &_EC_NIST_CHAR2_571K}, 1164 {NID_sect571r1, &_EC_NIST_CHAR2_571B}, 1165 /* X9.62 curves */ 1166 {NID_X9_62_c2pnb163v1, &_EC_X9_62_CHAR2_163V1}, 1167 {NID_X9_62_c2pnb163v2, &_EC_X9_62_CHAR2_163V2}, 1168 {NID_X9_62_c2pnb163v3, &_EC_X9_62_CHAR2_163V3}, 1169 {NID_X9_62_c2pnb176v1, &_EC_X9_62_CHAR2_176V1}, 1170 {NID_X9_62_c2tnb191v1, &_EC_X9_62_CHAR2_191V1}, 1171 {NID_X9_62_c2tnb191v2, &_EC_X9_62_CHAR2_191V2}, 1172 {NID_X9_62_c2tnb191v3, &_EC_X9_62_CHAR2_191V3}, 1173 {NID_X9_62_c2pnb208w1, &_EC_X9_62_CHAR2_208W1}, 1174 {NID_X9_62_c2tnb239v1, &_EC_X9_62_CHAR2_239V1}, 1175 {NID_X9_62_c2tnb239v2, &_EC_X9_62_CHAR2_239V2}, 1176 {NID_X9_62_c2tnb239v3, &_EC_X9_62_CHAR2_239V3}, 1177 {NID_X9_62_c2pnb272w1, &_EC_X9_62_CHAR2_272W1}, 1178 {NID_X9_62_c2pnb304w1, &_EC_X9_62_CHAR2_304W1}, 1179 {NID_X9_62_c2tnb359v1, &_EC_X9_62_CHAR2_359V1}, 1180 {NID_X9_62_c2pnb368w1, &_EC_X9_62_CHAR2_368W1}, 1181 {NID_X9_62_c2tnb431r1, &_EC_X9_62_CHAR2_431R1}, 1182 /* 1183 * the WAP/WTLS curves [unlike SECG, spec has its own OIDs for curves 1184 * from X9.62] 1185 */ 1186 {NID_wap_wsg_idm_ecid_wtls1, &_EC_WTLS_1}, 1187 {NID_wap_wsg_idm_ecid_wtls3, &_EC_NIST_CHAR2_163K}, 1188 {NID_wap_wsg_idm_ecid_wtls4, &_EC_SECG_CHAR2_113R1}, 1189 {NID_wap_wsg_idm_ecid_wtls5, &_EC_X9_62_CHAR2_163V1}, 1190 {NID_wap_wsg_idm_ecid_wtls6, &_EC_SECG_PRIME_112R1}, 1191 {NID_wap_wsg_idm_ecid_wtls7, &_EC_SECG_PRIME_160R2}, 1192 {NID_wap_wsg_idm_ecid_wtls8, &_EC_WTLS_8}, 1193 {NID_wap_wsg_idm_ecid_wtls9, &_EC_WTLS_9}, 1194 {NID_wap_wsg_idm_ecid_wtls10, &_EC_NIST_CHAR2_233K}, 1195 {NID_wap_wsg_idm_ecid_wtls11, &_EC_NIST_CHAR2_233B}, 1196 {NID_wap_wsg_idm_ecid_wtls12, &_EC_WTLS_12}, 1197 /* IPSec curves */ 1198 {NID_ipsec3, &_EC_IPSEC_155_ID3}, 1199 {NID_ipsec4, &_EC_IPSEC_185_ID4}, 1200}; 1201 1202static size_t curve_list_length = 1203 sizeof(curve_list) / sizeof(ec_list_element); 1204 1205static EC_GROUP *ec_group_new_from_data(const EC_CURVE_DATA * data) 1206{ 1207 EC_GROUP *group = NULL; 1208 EC_POINT *P = NULL; 1209 BN_CTX *ctx = NULL; 1210 BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL, *order = 1211 NULL; 1212 int ok = 0; 1213 1214 if ((ctx = BN_CTX_new()) == NULL) { 1215 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE); 1216 goto err; 1217 } 1218 if ((p = BN_new()) == NULL || (a = BN_new()) == NULL || 1219 (b = BN_new()) == NULL || (x = BN_new()) == NULL || 1220 (y = BN_new()) == NULL || (order = BN_new()) == NULL) { 1221 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE); 1222 goto err; 1223 } 1224 1225 if (!BN_hex2bn(&p, data->p) || !BN_hex2bn(&a, data->a) 1226 || !BN_hex2bn(&b, data->b)) { 1227 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); 1228 goto err; 1229 } 1230 1231 if (data->field_type == NID_X9_62_prime_field) { 1232 if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL) { 1233 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); 1234 goto err; 1235 } 1236 } else { /* field_type == 1237 * NID_X9_62_characteristic_two_field */ 1238 if ((group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) == NULL) { 1239 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); 1240 goto err; 1241 } 1242 } 1243 1244 if ((P = EC_POINT_new(group)) == NULL) { 1245 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); 1246 goto err; 1247 } 1248 1249 if (!BN_hex2bn(&x, data->x) || !BN_hex2bn(&y, data->y)) { 1250 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); 1251 goto err; 1252 } 1253 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) { 1254 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); 1255 goto err; 1256 } 1257 if (!BN_hex2bn(&order, data->order) || !BN_set_word(x, data->cofactor)) { 1258 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); 1259 goto err; 1260 } 1261 if (!EC_GROUP_set_generator(group, P, order, x)) { 1262 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); 1263 goto err; 1264 } 1265 if (data->seed) { 1266 if (!EC_GROUP_set_seed(group, data->seed, data->seed_len)) { 1267 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); 1268 goto err; 1269 } 1270 } 1271 ok = 1; 1272 err: 1273 if (!ok) { 1274 EC_GROUP_free(group); 1275 group = NULL; 1276 } 1277 if (P) 1278 EC_POINT_free(P); 1279 if (ctx) 1280 BN_CTX_free(ctx); 1281 if (p) 1282 BN_free(p); 1283 if (a) 1284 BN_free(a); 1285 if (b) 1286 BN_free(b); 1287 if (order) 1288 BN_free(order); 1289 if (x) 1290 BN_free(x); 1291 if (y) 1292 BN_free(y); 1293 return group; 1294} 1295 1296EC_GROUP *EC_GROUP_new_by_curve_name(int nid) 1297{ 1298 size_t i; 1299 EC_GROUP *ret = NULL; 1300 1301 if (nid <= 0) 1302 return NULL; 1303 1304 for (i = 0; i < curve_list_length; i++) 1305 if (curve_list[i].nid == nid) { 1306 ret = ec_group_new_from_data(curve_list[i].data); 1307 break; 1308 } 1309 1310 if (ret == NULL) { 1311 ECerr(EC_F_EC_GROUP_NEW_BY_CURVE_NAME, EC_R_UNKNOWN_GROUP); 1312 return NULL; 1313 } 1314 1315 EC_GROUP_set_curve_name(ret, nid); 1316 1317 return ret; 1318} 1319 1320size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems) 1321{ 1322 size_t i, min; 1323 1324 if (r == NULL || nitems == 0) 1325 return curve_list_length; 1326 1327 min = nitems < curve_list_length ? nitems : curve_list_length; 1328 1329 for (i = 0; i < min; i++) { 1330 r[i].nid = curve_list[i].nid; 1331 r[i].comment = curve_list[i].data->comment; 1332 } 1333 1334 return curve_list_length; 1335} 1336