crypto/openssl/crypto/ec/ec_curve.c

   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
  76 typedef 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 */
  93 static 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
  98 static 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
 110 static 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
 115 static 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
 127 static 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
 132 static 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
 150 static 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
 155 static 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) */
 174 static 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
 179 static 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
 191 static 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
 196 static 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
 208 static 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
 213 static 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
 225 static 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
 230 static 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
 242 static 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
 247 static 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
 259 static 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
 264 static 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) */
 277 static 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
 282 static 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
 294 static 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
 299 static 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
 311 static 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
 316 static 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
 328 static 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
 333 static 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
 345 static 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
 357 static 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
 362 static 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
 374 static 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
 379 static 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
 391 static 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
 403 static 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
 415 static 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 */
 428 static 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
 440 static 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
 452 static 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 */
 465 static 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
 470 static 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
 482 static 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
 487 static 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
 499 static 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
 504 static 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
 516 static 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
 521 static 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
 533 static 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
 545 static 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
 550 static 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
 570 static 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
 575 static 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
 595 static 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
 600 static 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
 612 static 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
 617 static 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
 629 static 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
 641 static 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
 646 static 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
 658 static 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
 670 static 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
 686 static 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
 691 static 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
 709 static 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
 725 static 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
 730 static 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
 748 static 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
 768 static 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
 773 static 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
 797 static 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
 802 static 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
 814 static 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
 819 static 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
 831 static 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
 836 static 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
 848 static 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
 860 static 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
 865 static 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
 877 static 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
 882 static 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
 894 static 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
 899 static 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
 911 static 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
 923 static 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
 928 static 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
 940 static 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
 945 static 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
 957 static 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
 962 static 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
 974 static 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
 988 static 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
1006 static 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
1011 static 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
1029 static 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
1047 static 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
1065 static 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  */
1083 static 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  */
1101 static 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
1114 typedef struct _ec_list_element_st {
1115     int nid;
1116     const EC_CURVE_DATA *data;
1117 } ec_list_element;
1118
1119 static 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
1202 static size_t curve_list_length =
1203     sizeof(curve_list) / sizeof(ec_list_element);
1204
1205 static 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
1296 EC_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
1320 size_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 }