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