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945e15a2 1/* crypto/ec/ec_curve.c */
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2/*
3 * Written by Nils Larsch for the OpenSSL project.
4 */
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5/* ====================================================================
6 * Copyright (c) 1998-2002 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 */
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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 *
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67 * The elliptic curve binary polynomial software is originally written by
68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
69 *
70 */
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71
72#include "ec_lcl.h"
73#include <openssl/err.h>
74#include <openssl/obj_mac.h>
945e15a2 75
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76typedef struct ec_curve_data_st {
77 int field_type; /* either NID_X9_62_prime_field or
78 * NID_X9_62_characteristic_two_field */
79 const char *p; /* either a prime number or a polynomial */
80 const char *a;
81 const char *b;
82 const char *x; /* the x coordinate of the generator */
83 const char *y; /* the y coordinate of the generator */
84 const char *order; /* the order of the group generated by the
85 * generator */
86 const BN_ULONG cofactor;/* the cofactor */
87 const unsigned char *seed;/* the seed (optional) */
88 size_t seed_len;
89 const char *comment; /* a short (less than 80 characters)
90 * description of the curve */
91} EC_CURVE_DATA;
92
9bc44854 93/* the nist prime curves */
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94static const unsigned char _EC_NIST_PRIME_192_SEED[] = {
95 0x30,0x45,0xAE,0x6F,0xC8,0x42,0x2F,0x64,0xED,0x57,
96 0x95,0x28,0xD3,0x81,0x20,0xEA,0xE1,0x21,0x96,0xD5};
97static const EC_CURVE_DATA _EC_NIST_PRIME_192 = {
98 NID_X9_62_prime_field,
99 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
100 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
101 "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
102 "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012",
103 "07192b95ffc8da78631011ed6b24cdd573f977a11e794811",
104 "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",1,
105 _EC_NIST_PRIME_192_SEED, 20,
d745af4b 106 "192 bit prime curve from X9.62 and SECG"
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107 };
108
109static const unsigned char _EC_NIST_PRIME_224_SEED[] = {
110 0xBD,0x71,0x34,0x47,0x99,0xD5,0xC7,0xFC,0xDC,0x45,
111 0xB5,0x9F,0xA3,0xB9,0xAB,0x8F,0x6A,0x94,0x8B,0xC5};
112static const EC_CURVE_DATA _EC_NIST_PRIME_224 = {
113 NID_X9_62_prime_field,
114 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
115 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
116 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
117 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
118 "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
119 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",1,
120 _EC_NIST_PRIME_224_SEED, 20,
121 "SECG/NIST recommended curve over a 224 bit prime field"
122 };
123
124static const unsigned char _EC_NIST_PRIME_384_SEED[] = {
125 0xA3,0x35,0x92,0x6A,0xA3,0x19,0xA2,0x7A,0x1D,0x00,
126 0x89,0x6A,0x67,0x73,0xA4,0x82,0x7A,0xCD,0xAC,0x73};
127static const EC_CURVE_DATA _EC_NIST_PRIME_384 = {
128 NID_X9_62_prime_field,
129 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF"
130 "FFF0000000000000000FFFFFFFF",
131 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF"
132 "FFF0000000000000000FFFFFFFC",
133 "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC6563"
134 "98D8A2ED19D2A85C8EDD3EC2AEF",
135 "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F"
136 "25DBF55296C3A545E3872760AB7",
137 "3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b"
138 "1ce1d7e819d7a431d7c90ea0e5f",
139 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0"
140 "DB248B0A77AECEC196ACCC52973",1,
141 _EC_NIST_PRIME_384_SEED, 20,
142 "SECG/NIST recommended curve over a 384 bit prime field"
143 };
144
145static const unsigned char _EC_NIST_PRIME_521_SEED[] = {
146 0xD0,0x9E,0x88,0x00,0x29,0x1C,0xB8,0x53,0x96,0xCC,
147 0x67,0x17,0x39,0x32,0x84,0xAA,0xA0,0xDA,0x64,0xBA};
148static const EC_CURVE_DATA _EC_NIST_PRIME_521 = {
149 NID_X9_62_prime_field,
150 "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
151 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
152 "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
153 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
154 "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156"
155 "193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
156 "C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14"
157 "B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66",
158 "011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c9"
159 "7ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
160 "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51"
161 "868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",1,
162 _EC_NIST_PRIME_521_SEED, 20,
163 "SECG/NIST recommended curve over a 521 bit prime field"
164 };
709c51c4 165/* the x9.62 prime curves (minus the nist prime curves) */
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166static const unsigned char _EC_X9_62_PRIME_192V2_SEED[] = {
167 0x31,0xA9,0x2E,0xE2,0x02,0x9F,0xD1,0x0D,0x90,0x1B,
168 0x11,0x3E,0x99,0x07,0x10,0xF0,0xD2,0x1A,0xC6,0xB6};
169static const EC_CURVE_DATA _EC_X9_62_PRIME_192V2 = {
170 NID_X9_62_prime_field,
171 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
172 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
173 "CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953",
174 "EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A",
175 "6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15",
176 "FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31",1,
177 _EC_X9_62_PRIME_192V2_SEED, 20,
d745af4b 178 "192 bit prime curve from X9.62"
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179 };
180
181static const unsigned char _EC_X9_62_PRIME_192V3_SEED[] = {
182 0xC4,0x69,0x68,0x44,0x35,0xDE,0xB3,0x78,0xC4,0xB6,
183 0x5C,0xA9,0x59,0x1E,0x2A,0x57,0x63,0x05,0x9A,0x2E};
184static const EC_CURVE_DATA _EC_X9_62_PRIME_192V3 = {
185 NID_X9_62_prime_field,
186 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
187 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
188 "22123DC2395A05CAA7423DAECCC94760A7D462256BD56916",
189 "7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896",
190 "38a90f22637337334b49dcb66a6dc8f9978aca7648a943b0",
191 "FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13",1,
192 _EC_X9_62_PRIME_192V3_SEED, 20,
d745af4b 193 "192 bit prime curve from X9.62"
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194 };
195
196static const unsigned char _EC_X9_62_PRIME_239V1_SEED[] = {
197 0xE4,0x3B,0xB4,0x60,0xF0,0xB8,0x0C,0xC0,0xC0,0xB0,
198 0x75,0x79,0x8E,0x94,0x80,0x60,0xF8,0x32,0x1B,0x7D};
199static const EC_CURVE_DATA _EC_X9_62_PRIME_239V1 = {
200 NID_X9_62_prime_field,
201 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
202 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
203 "6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A",
204 "0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF",
205 "7debe8e4e90a5dae6e4054ca530ba04654b36818ce226b39fccb7b02f1ae",
206 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B",1,
207 _EC_X9_62_PRIME_239V1_SEED, 20,
d745af4b 208 "239 bit prime curve from X9.62"
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209 };
210
211static const unsigned char _EC_X9_62_PRIME_239V2_SEED[] = {
212 0xE8,0xB4,0x01,0x16,0x04,0x09,0x53,0x03,0xCA,0x3B,
213 0x80,0x99,0x98,0x2B,0xE0,0x9F,0xCB,0x9A,0xE6,0x16};
214static const EC_CURVE_DATA _EC_X9_62_PRIME_239V2 = {
215 NID_X9_62_prime_field,
216 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
217 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
218 "617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C",
219 "38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7",
220 "5b0125e4dbea0ec7206da0fc01d9b081329fb555de6ef460237dff8be4ba",
221 "7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063",1,
222 _EC_X9_62_PRIME_239V2_SEED, 20,
d745af4b 223 "239 bit prime curve from X9.62"
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224 };
225
226static const unsigned char _EC_X9_62_PRIME_239V3_SEED[] = {
227 0x7D,0x73,0x74,0x16,0x8F,0xFE,0x34,0x71,0xB6,0x0A,
228 0x85,0x76,0x86,0xA1,0x94,0x75,0xD3,0xBF,0xA2,0xFF};
229static const EC_CURVE_DATA _EC_X9_62_PRIME_239V3 = {
230 NID_X9_62_prime_field,
231 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
232 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
233 "255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E",
234 "6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A",
235 "1607e6898f390c06bc1d552bad226f3b6fcfe48b6e818499af18e3ed6cf3",
236 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551",1,
237 _EC_X9_62_PRIME_239V3_SEED, 20,
d745af4b 238 "239 bit prime curve from X9.62"
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239 };
240
241static const unsigned char _EC_X9_62_PRIME_256V1_SEED[] = {
242 0xC4,0x9D,0x36,0x08,0x86,0xE7,0x04,0x93,0x6A,0x66,
243 0x78,0xE1,0x13,0x9D,0x26,0xB7,0x81,0x9F,0x7E,0x90};
244static const EC_CURVE_DATA _EC_X9_62_PRIME_256V1 = {
245 NID_X9_62_prime_field,
246 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
247 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
248 "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
249 "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",
250 "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
251 "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",1,
252 _EC_X9_62_PRIME_256V1_SEED, 20,
d745af4b 253 "256 bit prime curve from X9.62 and SECG"
7eb18f12 254 };
709c51c4 255/* the secg prime curves (minus the nist and x9.62 prime curves) */
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256static const unsigned char _EC_SECG_PRIME_112R1_SEED[] = {
257 0x00,0xF5,0x0B,0x02,0x8E,0x4D,0x69,0x6E,0x67,0x68,
258 0x75,0x61,0x51,0x75,0x29,0x04,0x72,0x78,0x3F,0xB1};
259static const EC_CURVE_DATA _EC_SECG_PRIME_112R1 = {
260 NID_X9_62_prime_field,
261 "DB7C2ABF62E35E668076BEAD208B",
262 "DB7C2ABF62E35E668076BEAD2088",
263 "659EF8BA043916EEDE8911702B22",
264 "09487239995A5EE76B55F9C2F098",
265 "a89ce5af8724c0a23e0e0ff77500",
266 "DB7C2ABF62E35E7628DFAC6561C5",1,
267 _EC_SECG_PRIME_112R1_SEED, 20,
268 "SECG/WTLS recommended curve over a 112 bit prime field"
269 };
270
271static const unsigned char _EC_SECG_PRIME_112R2_SEED[] = {
272 0x00,0x27,0x57,0xA1,0x11,0x4D,0x69,0x6E,0x67,0x68,
273 0x75,0x61,0x51,0x75,0x53,0x16,0xC0,0x5E,0x0B,0xD4};
274static const EC_CURVE_DATA _EC_SECG_PRIME_112R2 = {
275 NID_X9_62_prime_field,
276 "DB7C2ABF62E35E668076BEAD208B",
277 "6127C24C05F38A0AAAF65C0EF02C",
278 "51DEF1815DB5ED74FCC34C85D709",
279 "4BA30AB5E892B4E1649DD0928643",
280 "adcd46f5882e3747def36e956e97",
281 "36DF0AAFD8B8D7597CA10520D04B",4,
282 _EC_SECG_PRIME_112R2_SEED, 20,
283 "SECG recommended curve over a 112 bit prime field"
284 };
285
286static const unsigned char _EC_SECG_PRIME_128R1_SEED[] = {
287 0x00,0x0E,0x0D,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,
288 0x51,0x75,0x0C,0xC0,0x3A,0x44,0x73,0xD0,0x36,0x79};
289static const EC_CURVE_DATA _EC_SECG_PRIME_128R1 = {
290 NID_X9_62_prime_field,
291 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
292 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
293 "E87579C11079F43DD824993C2CEE5ED3",
294 "161FF7528B899B2D0C28607CA52C5B86",
295 "cf5ac8395bafeb13c02da292dded7a83",
296 "FFFFFFFE0000000075A30D1B9038A115",1,
297 _EC_SECG_PRIME_128R1_SEED, 20,
298 "SECG recommended curve over a 128 bit prime field"
299 };
300
301static const unsigned char _EC_SECG_PRIME_128R2_SEED[] = {
302 0x00,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75,
303 0x12,0xD8,0xF0,0x34,0x31,0xFC,0xE6,0x3B,0x88,0xF4};
304static const EC_CURVE_DATA _EC_SECG_PRIME_128R2 = {
305 NID_X9_62_prime_field,
306 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
307 "D6031998D1B3BBFEBF59CC9BBFF9AEE1",
308 "5EEEFCA380D02919DC2C6558BB6D8A5D",
309 "7B6AA5D85E572983E6FB32A7CDEBC140",
310 "27b6916a894d3aee7106fe805fc34b44",
311 "3FFFFFFF7FFFFFFFBE0024720613B5A3",4,
312 _EC_SECG_PRIME_128R2_SEED, 20,
313 "SECG recommended curve over a 128 bit prime field"
314 };
315
316static const EC_CURVE_DATA _EC_SECG_PRIME_160K1 = {
317 NID_X9_62_prime_field,
318 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
319 "0",
320 "7",
321 "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB",
322 "938cf935318fdced6bc28286531733c3f03c4fee",
323 "0100000000000000000001B8FA16DFAB9ACA16B6B3",1,
324 NULL, 0,
325 "SECG recommended curve over a 160 bit prime field"
326 };
327
328static const unsigned char _EC_SECG_PRIME_160R1_SEED[] = {
329 0x10,0x53,0xCD,0xE4,0x2C,0x14,0xD6,0x96,0xE6,0x76,
330 0x87,0x56,0x15,0x17,0x53,0x3B,0xF3,0xF8,0x33,0x45};
331static const EC_CURVE_DATA _EC_SECG_PRIME_160R1 = {
332 NID_X9_62_prime_field,
333 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
334 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
335 "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
336 "4A96B5688EF573284664698968C38BB913CBFC82",
337 "23a628553168947d59dcc912042351377ac5fb32",
338 "0100000000000000000001F4C8F927AED3CA752257",1,
339 _EC_SECG_PRIME_160R1_SEED, 20,
340 "SECG recommended curve over a 160 bit prime field"
341 };
342
343static const unsigned char _EC_SECG_PRIME_160R2_SEED[] = {
344 0xB9,0x9B,0x99,0xB0,0x99,0xB3,0x23,0xE0,0x27,0x09,
345 0xA4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x51};
346static const EC_CURVE_DATA _EC_SECG_PRIME_160R2 = {
347 NID_X9_62_prime_field,
348 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
349 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
350 "B4E134D3FB59EB8BAB57274904664D5AF50388BA",
351 "52DCB034293A117E1F4FF11B30F7199D3144CE6D",
352 "feaffef2e331f296e071fa0df9982cfea7d43f2e",
353 "0100000000000000000000351EE786A818F3A1A16B",1,
354 _EC_SECG_PRIME_160R2_SEED, 20,
355 "SECG/WTLS recommended curve over a 160 bit prime field"
356 };
357
358static const EC_CURVE_DATA _EC_SECG_PRIME_192K1 = {
359 NID_X9_62_prime_field,
360 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
361 "0",
362 "3",
363 "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D",
364 "9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d",
365 "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",1,
366 NULL, 20,
367 "SECG recommended curve over a 192 bit prime field"
368 };
369
370static const EC_CURVE_DATA _EC_SECG_PRIME_224K1 = {
371 NID_X9_62_prime_field,
372 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
373 "0",
374 "5",
375 "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C",
376 "7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5",
377 "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",1,
378 NULL, 20,
379 "SECG recommended curve over a 224 bit prime field"
380 };
381
382static const EC_CURVE_DATA _EC_SECG_PRIME_256K1 = {
383 NID_X9_62_prime_field,
384 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
385 "0",
386 "7",
387 "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798",
388 "483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",
389 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",1,
390 NULL, 20,
391 "SECG recommended curve over a 256 bit prime field"
392 };
393
af28dd6c 394/* some wap/wtls curves */
7eb18f12
BM
395static const EC_CURVE_DATA _EC_WTLS_8 = {
396 NID_X9_62_prime_field,
397 "FFFFFFFFFFFFFFFFFFFFFFFFFDE7",
398 "0",
399 "3",
400 "1",
401 "2",
402 "0100000000000001ECEA551AD837E9",1,
403 NULL, 20,
404 "112 bit prime curve from the WTLS standard"
405 };
945e15a2 406
7eb18f12
BM
407static const EC_CURVE_DATA _EC_WTLS_9 = {
408 NID_X9_62_prime_field,
409 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC808F",
410 "0",
411 "3",
412 "1",
413 "2",
414 "0100000000000000000001CDC98AE0E2DE574ABF33",1,
415 NULL, 20,
416 "160 bit prime curve from the WTLS standard"
417 };
945e15a2 418
7eb18f12
BM
419static const EC_CURVE_DATA _EC_WTLS_12 = {
420 NID_X9_62_prime_field,
421 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
422 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
423 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
424 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
425 "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
426 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1,
427 NULL, 0,
428 "224 bit prime curve from the WTLS standard"
429 };
430
431/* characteristic two curves */
432static const unsigned char _EC_SECG_CHAR2_113R1_SEED[] = {
433 0x10,0xE7,0x23,0xAB,0x14,0xD6,0x96,0xE6,0x76,0x87,
434 0x56,0x15,0x17,0x56,0xFE,0xBF,0x8F,0xCB,0x49,0xA9};
435static const EC_CURVE_DATA _EC_SECG_CHAR2_113R1 = {
436 NID_X9_62_characteristic_two_field,
437 "020000000000000000000000000201",
438 "003088250CA6E7C7FE649CE85820F7",
439 "00E8BEE4D3E2260744188BE0E9C723",
440 "009D73616F35F4AB1407D73562C10F",
441 "00A52830277958EE84D1315ED31886",
442 "0100000000000000D9CCEC8A39E56F", 2,
443 _EC_SECG_CHAR2_113R1_SEED, 20,
444 "SECG recommended curve over a 113 bit binary field"
445 };
446
447static const unsigned char _EC_SECG_CHAR2_113R2_SEED[] = {
448 0x10,0xC0,0xFB,0x15,0x76,0x08,0x60,0xDE,0xF1,0xEE,
449 0xF4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x5D};
450static const EC_CURVE_DATA _EC_SECG_CHAR2_113R2 = {
451 NID_X9_62_characteristic_two_field,
452 "020000000000000000000000000201",
453 "00689918DBEC7E5A0DD6DFC0AA55C7",
454 "0095E9A9EC9B297BD4BF36E059184F",
455 "01A57A6A7B26CA5EF52FCDB8164797",
456 "00B3ADC94ED1FE674C06E695BABA1D",
457 "010000000000000108789B2496AF93", 2,
458 _EC_SECG_CHAR2_113R2_SEED, 20,
459 "SECG recommended curve over a 113 bit binary field"
460 };
461
462static const unsigned char _EC_SECG_CHAR2_131R1_SEED[] = {
463 0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75,0x98,
464 0x5B,0xD3,0xAD,0xBA,0xDA,0x21,0xB4,0x3A,0x97,0xE2};
465static const EC_CURVE_DATA _EC_SECG_CHAR2_131R1 = {
466 NID_X9_62_characteristic_two_field,
467 "080000000000000000000000000000010D",
468 "07A11B09A76B562144418FF3FF8C2570B8",
469 "0217C05610884B63B9C6C7291678F9D341",
470 "0081BAF91FDF9833C40F9C181343638399",
471 "078C6E7EA38C001F73C8134B1B4EF9E150",
472 "0400000000000000023123953A9464B54D", 2,
473 _EC_SECG_CHAR2_131R1_SEED, 20,
474 "SECG/WTLS recommended curve over a 131 bit binary field"
475 };
476
477static const unsigned char _EC_SECG_CHAR2_131R2_SEED[] = {
478 0x98,0x5B,0xD3,0xAD,0xBA,0xD4,0xD6,0x96,0xE6,0x76,
479 0x87,0x56,0x15,0x17,0x5A,0x21,0xB4,0x3A,0x97,0xE3};
480static const EC_CURVE_DATA _EC_SECG_CHAR2_131R2 = {
481 NID_X9_62_characteristic_two_field,
482 "080000000000000000000000000000010D",
483 "03E5A88919D7CAFCBF415F07C2176573B2",
484 "04B8266A46C55657AC734CE38F018F2192",
485 "0356DCD8F2F95031AD652D23951BB366A8",
486 "0648F06D867940A5366D9E265DE9EB240F",
487 "0400000000000000016954A233049BA98F", 2,
488 _EC_SECG_CHAR2_131R2_SEED, 20,
489 "SECG recommended curve over a 131 bit binary field"
490 };
491
492static const EC_CURVE_DATA _EC_SECG_CHAR2_163K1 = {
493 NID_X9_62_characteristic_two_field,
494 "0800000000000000000000000000000000000000C9",
495 "1",
496 "1",
497 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
498 "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
499 "04000000000000000000020108A2E0CC0D99F8A5EF", 2,
500 NULL, 0,
501 "SECG/NIST/WTLS recommended curve over a 163 bit binary field"
502 };
503
504static const unsigned char _EC_SECG_CHAR2_163R1_SEED[] = {
505 0x24,0xB7,0xB1,0x37,0xC8,0xA1,0x4D,0x69,0x6E,0x67,
506 0x68,0x75,0x61,0x51,0x75,0x6F,0xD0,0xDA,0x2E,0x5C};
507static const EC_CURVE_DATA _EC_SECG_CHAR2_163R1 = {
508 NID_X9_62_characteristic_two_field,
509 "0800000000000000000000000000000000000000C9",
510 "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
511 "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
512 "0369979697AB43897789566789567F787A7876A654",
513 "00435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
514 "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B", 2,
515 _EC_SECG_CHAR2_163R1_SEED, 20,
516 "SECG recommended curve over a 163 bit binary field"
517 };
518
519static const unsigned char _EC_SECG_CHAR2_163R2_SEED[] = {
520 0x85,0xE2,0x5B,0xFE,0x5C,0x86,0x22,0x6C,0xDB,0x12,
521 0x01,0x6F,0x75,0x53,0xF9,0xD0,0xE6,0x93,0xA2,0x68};
522static const EC_CURVE_DATA _EC_SECG_CHAR2_163R2 ={
523 NID_X9_62_characteristic_two_field,
524 "0800000000000000000000000000000000000000C9",
525 "1",
526 "020A601907B8C953CA1481EB10512F78744A3205FD",
527 "03F0EBA16286A2D57EA0991168D4994637E8343E36",
528 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
529 "040000000000000000000292FE77E70C12A4234C33", 2,
530 _EC_SECG_CHAR2_163R2_SEED, 20,
531 "SECG/NIST recommended curve over a 163 bit binary field"
532 };
533
534static const unsigned char _EC_SECG_CHAR2_193R1_SEED[] = {
535 0x10,0x3F,0xAE,0xC7,0x4D,0x69,0x6E,0x67,0x68,0x75,
536 0x61,0x51,0x75,0x77,0x7F,0xC5,0xB1,0x91,0xEF,0x30};
537static const EC_CURVE_DATA _EC_SECG_CHAR2_193R1 = {
538 NID_X9_62_characteristic_two_field,
539 "02000000000000000000000000000000000000000000008001",
540 "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
541 "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
542 "01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1",
543 "0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
544 "01000000000000000000000000C7F34A778F443ACC920EBA49", 2,
545 _EC_SECG_CHAR2_193R1_SEED, 20,
546 "SECG recommended curve over a 193 bit binary field"
547 };
548
549static const unsigned char _EC_SECG_CHAR2_193R2_SEED[] = {
550 0x10,0xB7,0xB4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,
551 0x17,0x51,0x37,0xC8,0xA1,0x6F,0xD0,0xDA,0x22,0x11};
552static const EC_CURVE_DATA _EC_SECG_CHAR2_193R2 = {
553 NID_X9_62_characteristic_two_field,
554 "02000000000000000000000000000000000000000000008001",
555 "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
556 "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
557 "00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F",
558 "01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
559 "010000000000000000000000015AAB561B005413CCD4EE99D5", 2,
560 _EC_SECG_CHAR2_193R2_SEED, 20,
561 "SECG recommended curve over a 193 bit binary field"
562 };
563
564static const EC_CURVE_DATA _EC_SECG_CHAR2_233K1 = {
565 NID_X9_62_characteristic_two_field,
566 "020000000000000000000000000000000000000004000000000000000001",
567 "0",
568 "1",
569 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
570 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
571 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4,
572 NULL, 0,
573 "SECG/NIST/WTLS recommended curve over a 233 bit binary field"
574 };
575
576static const unsigned char _EC_SECG_CHAR2_233R1_SEED[] = {
577 0x74,0xD5,0x9F,0xF0,0x7F,0x6B,0x41,0x3D,0x0E,0xA1,
578 0x4B,0x34,0x4B,0x20,0xA2,0xDB,0x04,0x9B,0x50,0xC3};
579static const EC_CURVE_DATA _EC_SECG_CHAR2_233R1 = {
580 NID_X9_62_characteristic_two_field,
581 "020000000000000000000000000000000000000004000000000000000001",
582 "000000000000000000000000000000000000000000000000000000000001",
583 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
584 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
585 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
586 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2,
587 _EC_SECG_CHAR2_233R1_SEED, 20,
588 "SECG/NIST/WTLS recommended curve over a 233 bit binary field"
589 };
590
591static const EC_CURVE_DATA _EC_SECG_CHAR2_239K1 = {
592 NID_X9_62_characteristic_two_field,
593 "800000000000000000004000000000000000000000000000000000000001",
594 "0",
595 "1",
596 "29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC",
597 "76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
598 "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5", 4,
599 NULL, 0,
600 "SECG recommended curve over a 239 bit binary field"
601 };
602
603static const EC_CURVE_DATA _EC_SECG_CHAR2_283K1 = {
604 NID_X9_62_characteristic_two_field,
605 "080000000000000000000000000000000000000000000000000000000000000000001"
606 "0A1",
607 "0",
608 "1",
609 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492"
610 "836",
611 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2"
612 "259",
613 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163"
614 "C61", 4,
615 NULL, 20,
616 "SECG/NIST recommended curve over a 283 bit binary field"
617 };
618
619static const unsigned char _EC_SECG_CHAR2_283R1_SEED[] = {
620 0x77,0xE2,0xB0,0x73,0x70,0xEB,0x0F,0x83,0x2A,0x6D,
621 0xD5,0xB6,0x2D,0xFC,0x88,0xCD,0x06,0xBB,0x84,0xBE};
622static const EC_CURVE_DATA _EC_SECG_CHAR2_283R1 = {
623 NID_X9_62_characteristic_two_field,
624 "080000000000000000000000000000000000000000000000000000000000000000001"
625 "0A1",
626 "000000000000000000000000000000000000000000000000000000000000000000000"
627 "001",
628 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A"
629 "2F5",
630 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12"
631 "053",
632 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE811"
633 "2F4",
634 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB"
635 "307", 2,
636 _EC_SECG_CHAR2_283R1_SEED, 20,
637 "SECG/NIST recommended curve over a 283 bit binary field"
638 };
639
640static const EC_CURVE_DATA _EC_SECG_CHAR2_409K1 = {
641 NID_X9_62_characteristic_two_field,
642 "020000000000000000000000000000000000000000000000000000000000000000000"
643 "00000000000008000000000000000000001",
644 "0",
645 "1",
646 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C4601"
647 "89EB5AAAA62EE222EB1B35540CFE9023746",
648 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6"
649 "C42E9C55215AA9CA27A5863EC48D8E0286B",
650 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400"
651 "EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 4,
652 NULL, 0,
653 "SECG/NIST recommended curve over a 409 bit binary field"
654 };
655
656static const unsigned char _EC_SECG_CHAR2_409R1_SEED[] = {
657 0x40,0x99,0xB5,0xA4,0x57,0xF9,0xD6,0x9F,0x79,0x21,
658 0x3D,0x09,0x4C,0x4B,0xCD,0x4D,0x42,0x62,0x21,0x0B};
659static const EC_CURVE_DATA _EC_SECG_CHAR2_409R1 = {
660 NID_X9_62_characteristic_two_field,
661 "020000000000000000000000000000000000000000000000000000000000000000000"
662 "00000000000008000000000000000000001",
663 "000000000000000000000000000000000000000000000000000000000000000000000"
664 "00000000000000000000000000000000001",
665 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A19"
666 "7B272822F6CD57A55AA4F50AE317B13545F",
667 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255"
668 "A868A1180515603AEAB60794E54BB7996A7",
669 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514"
670 "F1FDF4B4F40D2181B3681C364BA0273C706",
671 "010000000000000000000000000000000000000000000000000001E2AAD6A612F3330"
672 "7BE5FA47C3C9E052F838164CD37D9A21173", 2,
673 _EC_SECG_CHAR2_409R1_SEED, 20,
674 "SECG/NIST recommended curve over a 409 bit binary field"
675 };
676
677static const EC_CURVE_DATA _EC_SECG_CHAR2_571K1 = {
678 NID_X9_62_characteristic_two_field,
679 "800000000000000000000000000000000000000000000000000000000000000000000"
680 "000000000000000000000000000000000000000000000000000000000000000000000"
681 "00425",
682 "0",
683 "1",
684 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA443709"
685 "58493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A0"
686 "1C8972",
687 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D497"
688 "9C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143E"
689 "F1C7A3",
690 "020000000000000000000000000000000000000000000000000000000000000000000"
691 "000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F63"
692 "7C1001", 4,
693 NULL, 0,
694 "SECG/NIST recommended curve over a 571 bit binary field"
695 };
696
697static const unsigned char _EC_SECG_CHAR2_571R1_SEED[] = {
698 0x2A,0xA0,0x58,0xF7,0x3A,0x0E,0x33,0xAB,0x48,0x6B,
699 0x0F,0x61,0x04,0x10,0xC5,0x3A,0x7F,0x13,0x23,0x10};
700static const EC_CURVE_DATA _EC_SECG_CHAR2_571R1 = {
701 NID_X9_62_characteristic_two_field,
702 "800000000000000000000000000000000000000000000000000000000000000000000"
703 "000000000000000000000000000000000000000000000000000000000000000000000"
704 "00425",
705 "000000000000000000000000000000000000000000000000000000000000000000000"
706 "000000000000000000000000000000000000000000000000000000000000000000000"
707 "000001",
708 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFA"
709 "BBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F29"
710 "55727A",
711 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53"
712 "950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8E"
713 "EC2D19",
714 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423"
715 "E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B"
716 "8AC15B",
717 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
718 "FFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2F"
719 "E84E47", 2,
720 _EC_SECG_CHAR2_571R1_SEED, 20,
721 "SECG/NIST recommended curve over a 571 bit binary field"
722 };
723
724static const unsigned char _EC_X9_62_CHAR2_163V1_SEED[] = {
725 0xD2,0xC0,0xFB,0x15,0x76,0x08,0x60,0xDE,0xF1,0xEE,
726 0xF4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x54};
727static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V1 = {
728 NID_X9_62_characteristic_two_field,
97a06ad9 729 "080000000000000000000000000000000000000107",
7eb18f12
BM
730 "072546B5435234A422E0789675F432C89435DE5242",
731 "00C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9",
732 "07AF69989546103D79329FCC3D74880F33BBE803CB",
97a06ad9 733 "01EC23211B5966ADEA1D3F87F7EA5848AEF0B7CA9F",
7eb18f12
BM
734 "0400000000000000000001E60FC8821CC74DAEAFC1", 2,
735 _EC_X9_62_CHAR2_163V1_SEED, 20,
d745af4b 736 "163 bit binary curve from X9.62"
7eb18f12
BM
737 };
738
739static const unsigned char _EC_X9_62_CHAR2_163V2_SEED[] = {
740 0x53,0x81,0x4C,0x05,0x0D,0x44,0xD6,0x96,0xE6,0x76,
741 0x87,0x56,0x15,0x17,0x58,0x0C,0xA4,0xE2,0x9F,0xFD};
742static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V2 = {
743 NID_X9_62_characteristic_two_field,
97a06ad9 744 "080000000000000000000000000000000000000107",
7eb18f12
BM
745 "0108B39E77C4B108BED981ED0E890E117C511CF072",
746 "0667ACEB38AF4E488C407433FFAE4F1C811638DF20",
747 "0024266E4EB5106D0A964D92C4860E2671DB9B6CC5",
97a06ad9 748 "079F684DDF6684C5CD258B3890021B2386DFD19FC5",
7eb18f12
BM
749 "03FFFFFFFFFFFFFFFFFFFDF64DE1151ADBB78F10A7", 2,
750 _EC_X9_62_CHAR2_163V2_SEED, 20,
d745af4b 751 "163 bit binary curve from X9.62"
7eb18f12
BM
752 };
753
754static const unsigned char _EC_X9_62_CHAR2_163V3_SEED[] = {
755 0x50,0xCB,0xF1,0xD9,0x5C,0xA9,0x4D,0x69,0x6E,0x67,
756 0x68,0x75,0x61,0x51,0x75,0xF1,0x6A,0x36,0xA3,0xB8};
757static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V3 = {
758 NID_X9_62_characteristic_two_field,
97a06ad9 759 "080000000000000000000000000000000000000107",
7eb18f12
BM
760 "07A526C63D3E25A256A007699F5447E32AE456B50E",
761 "03F7061798EB99E238FD6F1BF95B48FEEB4854252B",
762 "02F9F87B7C574D0BDECF8A22E6524775F98CDEBDCB",
97a06ad9 763 "05B935590C155E17EA48EB3FF3718B893DF59A05D0",
7eb18f12
BM
764 "03FFFFFFFFFFFFFFFFFFFE1AEE140F110AFF961309", 2,
765 _EC_X9_62_CHAR2_163V3_SEED, 20,
d745af4b 766 "163 bit binary curve from X9.62"
7eb18f12
BM
767 };
768
769static const EC_CURVE_DATA _EC_X9_62_CHAR2_176V1 = {
770 NID_X9_62_characteristic_two_field,
771 "0100000000000000000000000000000000080000000007",
772 "E4E6DB2995065C407D9D39B8D0967B96704BA8E9C90B",
773 "5DDA470ABE6414DE8EC133AE28E9BBD7FCEC0AE0FFF2",
774 "8D16C2866798B600F9F08BB4A8E860F3298CE04A5798",
775 "6FA4539C2DADDDD6BAB5167D61B436E1D92BB16A562C",
776 "00010092537397ECA4F6145799D62B0A19CE06FE26AD", 0xFF6E,
777 NULL, 0,
d745af4b 778 "176 bit binary curve from X9.62"
7eb18f12
BM
779 };
780
781static const unsigned char _EC_X9_62_CHAR2_191V1_SEED[] = {
782 0x4E,0x13,0xCA,0x54,0x27,0x44,0xD6,0x96,0xE6,0x76,
783 0x87,0x56,0x15,0x17,0x55,0x2F,0x27,0x9A,0x8C,0x84};
784static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V1 = {
785 NID_X9_62_characteristic_two_field,
786 "800000000000000000000000000000000000000000000201",
787 "2866537B676752636A68F56554E12640276B649EF7526267",
788 "2E45EF571F00786F67B0081B9495A3D95462F5DE0AA185EC",
789 "36B3DAF8A23206F9C4F299D7B21A9C369137F2C84AE1AA0D",
790 "765BE73433B3F95E332932E70EA245CA2418EA0EF98018FB",
791 "40000000000000000000000004A20E90C39067C893BBB9A5", 2,
792 _EC_X9_62_CHAR2_191V1_SEED, 20,
d745af4b 793 "191 bit binary curve from X9.62"
7eb18f12
BM
794 };
795
796static const unsigned char _EC_X9_62_CHAR2_191V2_SEED[] = {
797 0x08,0x71,0xEF,0x2F,0xEF,0x24,0xD6,0x96,0xE6,0x76,
798 0x87,0x56,0x15,0x17,0x58,0xBE,0xE0,0xD9,0x5C,0x15};
799static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V2 = {
800 NID_X9_62_characteristic_two_field,
801 "800000000000000000000000000000000000000000000201",
802 "401028774D7777C7B7666D1366EA432071274F89FF01E718",
803 "0620048D28BCBD03B6249C99182B7C8CD19700C362C46A01",
804 "3809B2B7CC1B28CC5A87926AAD83FD28789E81E2C9E3BF10",
805 "17434386626D14F3DBF01760D9213A3E1CF37AEC437D668A",
806 "20000000000000000000000050508CB89F652824E06B8173", 4,
807 _EC_X9_62_CHAR2_191V2_SEED, 20,
d745af4b 808 "191 bit binary curve from X9.62"
7eb18f12 809 };
945e15a2 810
7eb18f12
BM
811static const unsigned char _EC_X9_62_CHAR2_191V3_SEED[] = {
812 0xE0,0x53,0x51,0x2D,0xC6,0x84,0xD6,0x96,0xE6,0x76,
813 0x87,0x56,0x15,0x17,0x50,0x67,0xAE,0x78,0x6D,0x1F};
814static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V3 = {
815 NID_X9_62_characteristic_two_field,
816 "800000000000000000000000000000000000000000000201",
817 "6C01074756099122221056911C77D77E77A777E7E7E77FCB",
818 "71FE1AF926CF847989EFEF8DB459F66394D90F32AD3F15E8",
819 "375D4CE24FDE434489DE8746E71786015009E66E38A926DD",
820 "545A39176196575D985999366E6AD34CE0A77CD7127B06BE",
821 "155555555555555555555555610C0B196812BFB6288A3EA3", 6,
822 _EC_X9_62_CHAR2_191V3_SEED, 20,
d745af4b 823 "191 bit binary curve from X9.62"
7eb18f12
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824 };
825
826static const EC_CURVE_DATA _EC_X9_62_CHAR2_208W1 = {
827 NID_X9_62_characteristic_two_field,
828 "010000000000000000000000000000000800000000000000000007",
829 "0000000000000000000000000000000000000000000000000000",
830 "C8619ED45A62E6212E1160349E2BFA844439FAFC2A3FD1638F9E",
831 "89FDFBE4ABE193DF9559ECF07AC0CE78554E2784EB8C1ED1A57A",
832 "0F55B51A06E78E9AC38A035FF520D8B01781BEB1A6BB08617DE3",
833 "000101BAF95C9723C57B6C21DA2EFF2D5ED588BDD5717E212F9D", 0xFE48,
834 NULL, 0,
d745af4b 835 "208 bit binary curve from X9.62"
7eb18f12
BM
836 };
837
838static const unsigned char _EC_X9_62_CHAR2_239V1_SEED[] = {
839 0xD3,0x4B,0x9A,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,
840 0x51,0x75,0xCA,0x71,0xB9,0x20,0xBF,0xEF,0xB0,0x5D};
841static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V1 = {
842 NID_X9_62_characteristic_two_field,
843 "800000000000000000000000000000000000000000000000001000000001",
844 "32010857077C5431123A46B808906756F543423E8D27877578125778AC76",
845 "790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16",
846 "57927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D",
847 "61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305",
848 "2000000000000000000000000000000F4D42FFE1492A4993F1CAD666E447", 4,
849 _EC_X9_62_CHAR2_239V1_SEED, 20,
d745af4b 850 "239 bit binary curve from X9.62"
7eb18f12
BM
851 };
852
853static const unsigned char _EC_X9_62_CHAR2_239V2_SEED[] = {
854 0x2A,0xA6,0x98,0x2F,0xDF,0xA4,0xD6,0x96,0xE6,0x76,
855 0x87,0x56,0x15,0x17,0x5D,0x26,0x67,0x27,0x27,0x7D};
856static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V2 = {
857 NID_X9_62_characteristic_two_field,
858 "800000000000000000000000000000000000000000000000001000000001",
859 "4230017757A767FAE42398569B746325D45313AF0766266479B75654E65F",
860 "5037EA654196CFF0CD82B2C14A2FCF2E3FF8775285B545722F03EACDB74B",
861 "28F9D04E900069C8DC47A08534FE76D2B900B7D7EF31F5709F200C4CA205",
862 "5667334C45AFF3B5A03BAD9DD75E2C71A99362567D5453F7FA6E227EC833",
863 "1555555555555555555555555555553C6F2885259C31E3FCDF154624522D", 6,
864 _EC_X9_62_CHAR2_239V2_SEED, 20,
d745af4b 865 "239 bit binary curve from X9.62"
7eb18f12
BM
866 };
867
868static const unsigned char _EC_X9_62_CHAR2_239V3_SEED[] = {
869 0x9E,0x07,0x6F,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,
870 0x51,0x75,0xE1,0x1E,0x9F,0xDD,0x77,0xF9,0x20,0x41};
871static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V3 = {
872 NID_X9_62_characteristic_two_field,
873 "800000000000000000000000000000000000000000000000001000000001",
874 "01238774666A67766D6676F778E676B66999176666E687666D8766C66A9F",
875 "6A941977BA9F6A435199ACFC51067ED587F519C5ECB541B8E44111DE1D40",
876 "70F6E9D04D289C4E89913CE3530BFDE903977D42B146D539BF1BDE4E9C92",
877 "2E5A0EAF6E5E1305B9004DCE5C0ED7FE59A35608F33837C816D80B79F461",
878 "0CCCCCCCCCCCCCCCCCCCCCCCCCCCCCAC4912D2D9DF903EF9888B8A0E4CFF", 0xA,
879 _EC_X9_62_CHAR2_239V3_SEED, 20,
d745af4b 880 "239 bit binary curve from X9.62"
7eb18f12
BM
881 };
882
883static const EC_CURVE_DATA _EC_X9_62_CHAR2_272W1 = {
884 NID_X9_62_characteristic_two_field,
885 "010000000000000000000000000000000000000000000000000000010000000000000"
886 "B",
887 "91A091F03B5FBA4AB2CCF49C4EDD220FB028712D42BE752B2C40094DBACDB586FB20",
888 "7167EFC92BB2E3CE7C8AAAFF34E12A9C557003D7C73A6FAF003F99F6CC8482E540F7",
889 "6108BABB2CEEBCF787058A056CBE0CFE622D7723A289E08A07AE13EF0D10D171DD8D",
890 "10C7695716851EEF6BA7F6872E6142FBD241B830FF5EFCACECCAB05E02005DDE9D23",
891 "000100FAF51354E0E39E4892DF6E319C72C8161603FA45AA7B998A167B8F1E629521",
892 0xFF06,
893 NULL, 0,
d745af4b 894 "272 bit binary curve from X9.62"
7eb18f12
BM
895 };
896
897static const EC_CURVE_DATA _EC_X9_62_CHAR2_304W1 = {
898 NID_X9_62_characteristic_two_field,
899 "010000000000000000000000000000000000000000000000000000000000000000000"
900 "000000807",
901 "FD0D693149A118F651E6DCE6802085377E5F882D1B510B44160074C1288078365A039"
902 "6C8E681",
903 "BDDB97E555A50A908E43B01C798EA5DAA6788F1EA2794EFCF57166B8C14039601E558"
904 "27340BE",
905 "197B07845E9BE2D96ADB0F5F3C7F2CFFBD7A3EB8B6FEC35C7FD67F26DDF6285A644F7"
906 "40A2614",
907 "E19FBEB76E0DA171517ECF401B50289BF014103288527A9B416A105E80260B549FDC1"
908 "B92C03B",
909 "000101D556572AABAC800101D556572AABAC8001022D5C91DD173F8FB561DA6899164"
910 "443051D", 0xFE2E,
911 NULL, 0,
d745af4b 912 "304 bit binary curve from X9.62"
7eb18f12
BM
913 };
914
915static const unsigned char _EC_X9_62_CHAR2_359V1_SEED[] = {
916 0x2B,0x35,0x49,0x20,0xB7,0x24,0xD6,0x96,0xE6,0x76,
917 0x87,0x56,0x15,0x17,0x58,0x5B,0xA1,0x33,0x2D,0xC6};
918static const EC_CURVE_DATA _EC_X9_62_CHAR2_359V1 = {
919 NID_X9_62_characteristic_two_field,
920 "800000000000000000000000000000000000000000000000000000000000000000000"
921 "000100000000000000001",
922 "5667676A654B20754F356EA92017D946567C46675556F19556A04616B567D223A5E05"
923 "656FB549016A96656A557",
924 "2472E2D0197C49363F1FE7F5B6DB075D52B6947D135D8CA445805D39BC34562608968"
925 "7742B6329E70680231988",
926 "3C258EF3047767E7EDE0F1FDAA79DAEE3841366A132E163ACED4ED2401DF9C6BDCDE9"
927 "8E8E707C07A2239B1B097",
928 "53D7E08529547048121E9C95F3791DD804963948F34FAE7BF44EA82365DC7868FE57E"
929 "4AE2DE211305A407104BD",
930 "01AF286BCA1AF286BCA1AF286BCA1AF286BCA1AF286BC9FB8F6B85C556892C20A7EB9"
931 "64FE7719E74F490758D3B", 0x4C,
932 _EC_X9_62_CHAR2_359V1_SEED, 20,
d745af4b 933 "359 bit binary curve from X9.62"
7eb18f12
BM
934 };
935
936static const EC_CURVE_DATA _EC_X9_62_CHAR2_368W1 = {
937 NID_X9_62_characteristic_two_field,
938 "010000000000000000000000000000000000000000000000000000000000000000000"
939 "0002000000000000000000007",
940 "E0D2EE25095206F5E2A4F9ED229F1F256E79A0E2B455970D8D0D865BD94778C576D62"
941 "F0AB7519CCD2A1A906AE30D",
942 "FC1217D4320A90452C760A58EDCD30C8DD069B3C34453837A34ED50CB54917E1C2112"
943 "D84D164F444F8F74786046A",
944 "1085E2755381DCCCE3C1557AFA10C2F0C0C2825646C5B34A394CBCFA8BC16B22E7E78"
945 "9E927BE216F02E1FB136A5F",
946 "7B3EB1BDDCBA62D5D8B2059B525797FC73822C59059C623A45FF3843CEE8F87CD1855"
947 "ADAA81E2A0750B80FDA2310",
948 "00010090512DA9AF72B08349D98A5DD4C7B0532ECA51CE03E2D10F3B7AC579BD87E90"
949 "9AE40A6F131E9CFCE5BD967", 0xFF70,
950 NULL, 0,
d745af4b 951 "368 bit binary curve from X9.62"
7eb18f12
BM
952 };
953
954static const EC_CURVE_DATA _EC_X9_62_CHAR2_431R1 = {
955 NID_X9_62_characteristic_two_field,
956 "800000000000000000000000000000000000000000000000000000000000000000000"
957 "000000001000000000000000000000000000001",
958 "1A827EF00DD6FC0E234CAF046C6A5D8A85395B236CC4AD2CF32A0CADBDC9DDF620B0E"
959 "B9906D0957F6C6FEACD615468DF104DE296CD8F",
960 "10D9B4A3D9047D8B154359ABFB1B7F5485B04CEB868237DDC9DEDA982A679A5A919B6"
961 "26D4E50A8DD731B107A9962381FB5D807BF2618",
962 "120FC05D3C67A99DE161D2F4092622FECA701BE4F50F4758714E8A87BBF2A658EF8C2"
963 "1E7C5EFE965361F6C2999C0C247B0DBD70CE6B7",
964 "20D0AF8903A96F8D5FA2C255745D3C451B302C9346D9B7E485E7BCE41F6B591F3E8F6"
965 "ADDCBB0BC4C2F947A7DE1A89B625D6A598B3760",
966 "0340340340340340340340340340340340340340340340340340340323C313FAB5058"
967 "9703B5EC68D3587FEC60D161CC149C1AD4A91", 0x2760,
968 NULL, 0,
d745af4b 969 "431 bit binary curve from X9.62"
7eb18f12
BM
970 };
971
972static const EC_CURVE_DATA _EC_WTLS_1 = {
973 NID_X9_62_characteristic_two_field,
974 "020000000000000000000000000201",
975 "1",
976 "1",
977 "01667979A40BA497E5D5C270780617",
978 "00F44B4AF1ECC2630E08785CEBCC15",
979 "00FFFFFFFFFFFFFFFDBF91AF6DEA73", 2,
980 NULL, 0,
981 "113 bit binary curve from the WTLS standard"
982 };
983
984typedef struct _ec_list_element_st {
985 int nid;
986 const EC_CURVE_DATA *data;
987 } ec_list_element;
988
989static const ec_list_element curve_list[] = {
990 /* prime field curves */
991 /* secg curves */
992 { NID_secp112r1, &_EC_SECG_PRIME_112R1},
993 { NID_secp112r2, &_EC_SECG_PRIME_112R2},
994 { NID_secp128r1, &_EC_SECG_PRIME_128R1},
995 { NID_secp128r2, &_EC_SECG_PRIME_128R2},
996 { NID_secp160k1, &_EC_SECG_PRIME_160K1},
997 { NID_secp160r1, &_EC_SECG_PRIME_160R1},
998 { NID_secp160r2, &_EC_SECG_PRIME_160R2},
d745af4b 999 /* SECG secp192r1 is the same as X9.62 prime192v1 and hence omitted */
7eb18f12
BM
1000 { NID_secp192k1, &_EC_SECG_PRIME_192K1},
1001 { NID_secp224k1, &_EC_SECG_PRIME_224K1},
1002 { NID_secp224r1, &_EC_NIST_PRIME_224},
1003 { NID_secp256k1, &_EC_SECG_PRIME_256K1},
d745af4b 1004 /* SECG secp256r1 is the same as X9.62 prime256v1 and hence omitted */
7eb18f12
BM
1005 { NID_secp384r1, &_EC_NIST_PRIME_384},
1006 { NID_secp521r1, &_EC_NIST_PRIME_521},
1007 /* X9.62 curves */
d745af4b 1008 { NID_X9_62_prime192v1, &_EC_NIST_PRIME_192},
7eb18f12
BM
1009 { NID_X9_62_prime192v2, &_EC_X9_62_PRIME_192V2},
1010 { NID_X9_62_prime192v3, &_EC_X9_62_PRIME_192V3},
1011 { NID_X9_62_prime239v1, &_EC_X9_62_PRIME_239V1},
1012 { NID_X9_62_prime239v2, &_EC_X9_62_PRIME_239V2},
1013 { NID_X9_62_prime239v3, &_EC_X9_62_PRIME_239V3},
1014 { NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1},
1015 /* characteristic two field curves */
1016 /* secg curves */
1017 { NID_sect113r1, &_EC_SECG_CHAR2_113R1},
1018 { NID_sect113r2, &_EC_SECG_CHAR2_113R2},
1019 { NID_sect131r1, &_EC_SECG_CHAR2_131R1},
1020 { NID_sect131r2, &_EC_SECG_CHAR2_131R2},
1021 { NID_sect163k1, &_EC_SECG_CHAR2_163K1},
1022 { NID_sect163r1, &_EC_SECG_CHAR2_163R1},
1023 { NID_sect163r2, &_EC_SECG_CHAR2_163R2},
1024 { NID_sect193r1, &_EC_SECG_CHAR2_193R1},
1025 { NID_sect193r2, &_EC_SECG_CHAR2_193R2},
1026 { NID_sect233k1, &_EC_SECG_CHAR2_233K1},
1027 { NID_sect233r1, &_EC_SECG_CHAR2_233R1},
1028 { NID_sect239k1, &_EC_SECG_CHAR2_239K1},
1029 { NID_sect283k1, &_EC_SECG_CHAR2_283K1},
1030 { NID_sect283r1, &_EC_SECG_CHAR2_283R1},
1031 { NID_sect409k1, &_EC_SECG_CHAR2_409K1},
1032 { NID_sect409r1, &_EC_SECG_CHAR2_409R1},
1033 { NID_sect571k1, &_EC_SECG_CHAR2_571K1},
1034 { NID_sect571r1, &_EC_SECG_CHAR2_571R1},
1035 /* X9.62 curves */
1036 { NID_X9_62_c2pnb163v1, &_EC_X9_62_CHAR2_163V1},
1037 { NID_X9_62_c2pnb163v2, &_EC_X9_62_CHAR2_163V2},
1038 { NID_X9_62_c2pnb163v3, &_EC_X9_62_CHAR2_163V3},
1039 { NID_X9_62_c2pnb176v1, &_EC_X9_62_CHAR2_176V1},
1040 { NID_X9_62_c2tnb191v1, &_EC_X9_62_CHAR2_191V1},
1041 { NID_X9_62_c2tnb191v2, &_EC_X9_62_CHAR2_191V2},
1042 { NID_X9_62_c2tnb191v3, &_EC_X9_62_CHAR2_191V3},
1043 { NID_X9_62_c2pnb208w1, &_EC_X9_62_CHAR2_208W1},
1044 { NID_X9_62_c2tnb239v1, &_EC_X9_62_CHAR2_239V1},
1045 { NID_X9_62_c2tnb239v2, &_EC_X9_62_CHAR2_239V2},
1046 { NID_X9_62_c2tnb239v3, &_EC_X9_62_CHAR2_239V3},
1047 { NID_X9_62_c2pnb272w1, &_EC_X9_62_CHAR2_272W1},
1048 { NID_X9_62_c2pnb304w1, &_EC_X9_62_CHAR2_304W1},
1049 { NID_X9_62_c2tnb359v1, &_EC_X9_62_CHAR2_359V1},
1050 { NID_X9_62_c2pnb368w1, &_EC_X9_62_CHAR2_368W1},
1051 { NID_X9_62_c2tnb431r1, &_EC_X9_62_CHAR2_431R1},
1052 /* the WAP/WTLS curves */
1053 { NID_wap_wsg_idm_ecid_wtls1, &_EC_WTLS_1},
1054 { NID_wap_wsg_idm_ecid_wtls3, &_EC_SECG_CHAR2_163K1},
1055 { NID_wap_wsg_idm_ecid_wtls4, &_EC_SECG_CHAR2_113R1},
1056 { NID_wap_wsg_idm_ecid_wtls5, &_EC_X9_62_CHAR2_163V1},
1057 { NID_wap_wsg_idm_ecid_wtls6, &_EC_SECG_PRIME_112R1},
1058 { NID_wap_wsg_idm_ecid_wtls7, &_EC_SECG_PRIME_160R2},
1059 { NID_wap_wsg_idm_ecid_wtls8, &_EC_WTLS_8},
1060 { NID_wap_wsg_idm_ecid_wtls9, &_EC_WTLS_9 },
1061 { NID_wap_wsg_idm_ecid_wtls10, &_EC_SECG_CHAR2_233K1},
1062 { NID_wap_wsg_idm_ecid_wtls11, &_EC_SECG_CHAR2_233R1},
1063 { NID_wap_wsg_idm_ecid_wtls12, &_EC_WTLS_12},
1064};
1065
1066static size_t curve_list_length = sizeof(curve_list)/sizeof(ec_list_element);
1067
1068static EC_GROUP *ec_group_new_from_data(const EC_CURVE_DATA *data)
7793f30e
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1069 {
1070 EC_GROUP *group=NULL;
1071 EC_POINT *P=NULL;
1072 BN_CTX *ctx=NULL;
7eb18f12 1073 BIGNUM *p=NULL, *a=NULL, *b=NULL, *x=NULL, *y=NULL, *order=NULL;
7793f30e
BM
1074 int ok=0;
1075
7eb18f12
BM
1076 if ((ctx = BN_CTX_new()) == NULL)
1077 {
1078 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE);
1079 goto err;
1080 }
1081 if ((p = BN_new()) == NULL || (a = BN_new()) == NULL ||
1082 (b = BN_new()) == NULL || (x = BN_new()) == NULL ||
1083 (y = BN_new()) == NULL || (order = BN_new()) == NULL)
1084 {
1085 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE);
1086 goto err;
1087 }
7793f30e 1088
7eb18f12
BM
1089 if (!BN_hex2bn(&p, data->p) || !BN_hex2bn(&a, data->a)
1090 || !BN_hex2bn(&b, data->b))
1091 {
1092 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
1093 goto err;
1094 }
7793f30e 1095
7eb18f12
BM
1096 if (data->field_type == NID_X9_62_prime_field)
1097 {
1098 if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL)
1099 {
1100 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1101 goto err;
1102 }
1103 }
1104 else
1105 { /* field_type == NID_X9_62_characteristic_two_field */
1106 if ((group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) == NULL)
1107 {
1108 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1109 goto err;
1110 }
1111 }
1112
1113 if ((P = EC_POINT_new(group)) == NULL)
1114 {
1115 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1116 goto err;
1117 }
7793f30e 1118
7eb18f12
BM
1119 if (!BN_hex2bn(&x, data->x) || !BN_hex2bn(&y, data->y))
1120 {
1121 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
1122 goto err;
1123 }
1124 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx))
1125 {
1126 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1127 goto err;
1128 }
1129 if (!BN_hex2bn(&order, data->order) || !BN_set_word(x, data->cofactor))
1130 {
1131 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
1132 goto err;
1133 }
1134 if (!EC_GROUP_set_generator(group, P, order, x))
1135 {
1136 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1137 goto err;
1138 }
1139 if (data->seed)
1140 {
1141 if (!EC_GROUP_set_seed(group, data->seed, data->seed_len))
1142 {
1143 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1144 goto err;
1145 }
1146 }
7793f30e 1147 ok=1;
7793f30e
BM
1148err:
1149 if (!ok)
1150 {
1151 EC_GROUP_free(group);
1152 group = NULL;
1153 }
7eb18f12
BM
1154 if (P)
1155 EC_POINT_free(P);
1156 if (ctx)
1157 BN_CTX_free(ctx);
1158 if (p)
1159 BN_free(p);
1160 if (a)
1161 BN_free(a);
1162 if (b)
1163 BN_free(b);
1164 if (order)
1165 BN_free(order);
1166 if (x)
1167 BN_free(x);
1168 if (y)
1169 BN_free(y);
1170 return group;
7793f30e
BM
1171 }
1172
7eb18f12 1173EC_GROUP *EC_GROUP_new_by_nid(int nid)
945e15a2 1174 {
7eb18f12 1175 size_t i;
945e15a2 1176 EC_GROUP *ret = NULL;
7eb18f12
BM
1177
1178 if (nid <= 0)
945e15a2
BM
1179 return NULL;
1180
7eb18f12
BM
1181 for (i=0; i<curve_list_length; i++)
1182 if (curve_list[i].nid == nid)
1183 {
1184 ret = ec_group_new_from_data(curve_list[i].data);
1185 break;
1186 }
60d8bae3 1187
9bc44854 1188 if (ret == NULL)
60d8bae3 1189 {
7eb18f12 1190 ECerr(EC_F_EC_GROUP_NEW_BY_NID, EC_R_UNKNOWN_GROUP);
9bc44854 1191 return NULL;
60d8bae3 1192 }
7eb18f12
BM
1193
1194 EC_GROUP_set_nid(ret, nid);
1195
9bc44854 1196 return ret;
60d8bae3
BM
1197 }
1198
65b1d31d 1199size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems)
7eb18f12 1200 {
65b1d31d 1201 size_t i, min;
60d8bae3 1202
65b1d31d
BM
1203 if (r == NULL || nitems == 0)
1204 return curve_list_length;
7eb18f12 1205
65b1d31d
BM
1206 min = nitems < curve_list_length ? nitems : curve_list_length;
1207
1208 for (i = 0; i < min; i++)
1209 {
1210 r[i].nid = curve_list[i].nid;
1211 r[i].comment = curve_list[i].data->comment;
1212 }
1213
1214 return curve_list_length;
60d8bae3 1215 }