change API for looking at the internal curve list
[openssl.git] / 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) 1998-2002 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  */
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  * In addition, Sun covenants to all licensees who provide a reciprocal
68  * covenant with respect to their own patents if any, not to sue under
69  * current and future patent claims necessarily infringed by the making,
70  * using, practicing, selling, offering for sale and/or otherwise
71  * disposing of the Contribution as delivered hereunder 
72  * (or portions thereof), provided that such covenant shall not apply:
73  *  1) for code that a licensee deletes from the Contribution;
74  *  2) separates from the Contribution; or
75  *  3) for infringements caused by:
76  *       i) the modification of the Contribution or
77  *      ii) the combination of the Contribution with other software or
78  *          devices where such combination causes the infringement.
79  *
80  * The elliptic curve binary polynomial software is originally written by 
81  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
82  *
83  */
84
85 #include "ec_lcl.h"
86 #include <openssl/err.h>
87 #include <openssl/obj_mac.h>
88
89 typedef struct ec_curve_data_st {
90         int     field_type;     /* either NID_X9_62_prime_field or
91                                  * NID_X9_62_characteristic_two_field */
92         const char *p;          /* either a prime number or a polynomial */
93         const char *a;
94         const char *b;
95         const char *x;          /* the x coordinate of the generator */
96         const char *y;          /* the y coordinate of the generator */
97         const char *order;      /* the order of the group generated by the
98                                  * generator */
99         const BN_ULONG cofactor;/* the cofactor */
100         const unsigned char *seed;/* the seed (optional) */
101         size_t  seed_len;
102         const char *comment;    /* a short (less than 80 characters)
103                                  * description of the curve */
104 } EC_CURVE_DATA;
105
106 /* the nist prime curves */
107 static const unsigned char _EC_NIST_PRIME_192_SEED[] = {
108         0x30,0x45,0xAE,0x6F,0xC8,0x42,0x2F,0x64,0xED,0x57,
109         0x95,0x28,0xD3,0x81,0x20,0xEA,0xE1,0x21,0x96,0xD5};
110 static const EC_CURVE_DATA _EC_NIST_PRIME_192 = {
111         NID_X9_62_prime_field,
112         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
113         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
114         "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
115         "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012",
116         "07192b95ffc8da78631011ed6b24cdd573f977a11e794811",
117         "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",1,
118         _EC_NIST_PRIME_192_SEED, 20,
119         "192 bit prime curve from the X9.62 draft"
120         };
121
122 static const unsigned char _EC_NIST_PRIME_224_SEED[] = {
123         0xBD,0x71,0x34,0x47,0x99,0xD5,0xC7,0xFC,0xDC,0x45,
124         0xB5,0x9F,0xA3,0xB9,0xAB,0x8F,0x6A,0x94,0x8B,0xC5};
125 static const EC_CURVE_DATA _EC_NIST_PRIME_224 = {
126         NID_X9_62_prime_field,
127         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
128         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
129         "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
130         "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
131         "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
132         "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",1,
133         _EC_NIST_PRIME_224_SEED, 20,
134         "SECG/NIST recommended curve over a 224 bit prime field"
135         };
136
137 static const unsigned char _EC_NIST_PRIME_384_SEED[] = {
138         0xA3,0x35,0x92,0x6A,0xA3,0x19,0xA2,0x7A,0x1D,0x00,
139         0x89,0x6A,0x67,0x73,0xA4,0x82,0x7A,0xCD,0xAC,0x73};
140 static const EC_CURVE_DATA _EC_NIST_PRIME_384 = {
141         NID_X9_62_prime_field,
142         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF"
143         "FFF0000000000000000FFFFFFFF",
144         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF"
145         "FFF0000000000000000FFFFFFFC",
146         "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC6563"
147         "98D8A2ED19D2A85C8EDD3EC2AEF",
148         "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F"
149         "25DBF55296C3A545E3872760AB7",
150         "3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b"
151         "1ce1d7e819d7a431d7c90ea0e5f",
152         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0"
153         "DB248B0A77AECEC196ACCC52973",1,
154         _EC_NIST_PRIME_384_SEED, 20,
155         "SECG/NIST recommended curve over a 384 bit prime field"
156         };
157
158 static const unsigned char _EC_NIST_PRIME_521_SEED[] = {
159         0xD0,0x9E,0x88,0x00,0x29,0x1C,0xB8,0x53,0x96,0xCC,
160         0x67,0x17,0x39,0x32,0x84,0xAA,0xA0,0xDA,0x64,0xBA};
161 static const EC_CURVE_DATA _EC_NIST_PRIME_521 = {
162         NID_X9_62_prime_field,
163         "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
164         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
165         "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
166         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
167         "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156"
168         "193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
169         "C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14"
170         "B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66",
171         "011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c9"
172         "7ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
173         "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51"
174         "868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",1,
175         _EC_NIST_PRIME_521_SEED, 20,
176         "SECG/NIST recommended curve over a 521 bit prime field"
177         };
178 /* the x9.62 prime curves (minus the nist prime curves) */
179 static const unsigned char _EC_X9_62_PRIME_192V2_SEED[] = {
180         0x31,0xA9,0x2E,0xE2,0x02,0x9F,0xD1,0x0D,0x90,0x1B,
181         0x11,0x3E,0x99,0x07,0x10,0xF0,0xD2,0x1A,0xC6,0xB6};
182 static const EC_CURVE_DATA _EC_X9_62_PRIME_192V2 = {
183         NID_X9_62_prime_field,
184         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
185         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
186         "CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953",
187         "EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A",
188         "6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15",
189         "FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31",1,
190         _EC_X9_62_PRIME_192V2_SEED, 20,
191         "192 bit prime curve from the X9.62 draft"
192         };
193
194 static const unsigned char _EC_X9_62_PRIME_192V3_SEED[] = {
195         0xC4,0x69,0x68,0x44,0x35,0xDE,0xB3,0x78,0xC4,0xB6,
196         0x5C,0xA9,0x59,0x1E,0x2A,0x57,0x63,0x05,0x9A,0x2E};
197 static const EC_CURVE_DATA _EC_X9_62_PRIME_192V3 = {
198         NID_X9_62_prime_field,
199         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
200         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
201         "22123DC2395A05CAA7423DAECCC94760A7D462256BD56916",
202         "7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896",
203         "38a90f22637337334b49dcb66a6dc8f9978aca7648a943b0",
204         "FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13",1,
205         _EC_X9_62_PRIME_192V3_SEED, 20,
206         "192 bit prime curve from the X9.62 draft"
207         };
208
209 static const unsigned char _EC_X9_62_PRIME_239V1_SEED[] = {
210         0xE4,0x3B,0xB4,0x60,0xF0,0xB8,0x0C,0xC0,0xC0,0xB0,
211         0x75,0x79,0x8E,0x94,0x80,0x60,0xF8,0x32,0x1B,0x7D};
212 static const EC_CURVE_DATA _EC_X9_62_PRIME_239V1 = {
213         NID_X9_62_prime_field,
214         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
215         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
216         "6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A",
217         "0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF",
218         "7debe8e4e90a5dae6e4054ca530ba04654b36818ce226b39fccb7b02f1ae",
219         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B",1,
220         _EC_X9_62_PRIME_239V1_SEED, 20,
221         "239 bit prime curve from the X9.62 draft"
222         };
223
224 static const unsigned char _EC_X9_62_PRIME_239V2_SEED[] = {
225         0xE8,0xB4,0x01,0x16,0x04,0x09,0x53,0x03,0xCA,0x3B,
226         0x80,0x99,0x98,0x2B,0xE0,0x9F,0xCB,0x9A,0xE6,0x16};
227 static const EC_CURVE_DATA _EC_X9_62_PRIME_239V2 = {
228         NID_X9_62_prime_field,
229         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
230         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
231         "617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C",
232         "38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7",
233         "5b0125e4dbea0ec7206da0fc01d9b081329fb555de6ef460237dff8be4ba",
234         "7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063",1,
235         _EC_X9_62_PRIME_239V2_SEED, 20,
236         "239 bit prime curve from the X9.62 draft"
237         };
238
239 static const unsigned char _EC_X9_62_PRIME_239V3_SEED[] = {
240         0x7D,0x73,0x74,0x16,0x8F,0xFE,0x34,0x71,0xB6,0x0A,
241         0x85,0x76,0x86,0xA1,0x94,0x75,0xD3,0xBF,0xA2,0xFF};
242 static const EC_CURVE_DATA _EC_X9_62_PRIME_239V3 = {
243         NID_X9_62_prime_field,
244         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
245         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
246         "255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E",
247         "6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A",
248         "1607e6898f390c06bc1d552bad226f3b6fcfe48b6e818499af18e3ed6cf3",
249         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551",1,
250         _EC_X9_62_PRIME_239V3_SEED, 20,
251         "239 bit prime curve from the X9.62 draft"
252         };
253
254 static const unsigned char _EC_X9_62_PRIME_256V1_SEED[] = {
255         0xC4,0x9D,0x36,0x08,0x86,0xE7,0x04,0x93,0x6A,0x66,
256         0x78,0xE1,0x13,0x9D,0x26,0xB7,0x81,0x9F,0x7E,0x90};
257 static const EC_CURVE_DATA _EC_X9_62_PRIME_256V1 = {
258         NID_X9_62_prime_field,
259         "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
260         "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
261         "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
262         "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",
263         "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
264         "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",1,
265         _EC_X9_62_PRIME_256V1_SEED, 20,
266         "256 bit prime curve from the X9.62 draft"
267         };
268 /* the secg prime curves (minus the nist and x9.62 prime curves) */
269 static const unsigned char _EC_SECG_PRIME_112R1_SEED[] = {
270         0x00,0xF5,0x0B,0x02,0x8E,0x4D,0x69,0x6E,0x67,0x68,
271         0x75,0x61,0x51,0x75,0x29,0x04,0x72,0x78,0x3F,0xB1};
272 static const EC_CURVE_DATA _EC_SECG_PRIME_112R1 = {
273         NID_X9_62_prime_field,
274         "DB7C2ABF62E35E668076BEAD208B",
275         "DB7C2ABF62E35E668076BEAD2088",
276         "659EF8BA043916EEDE8911702B22",
277         "09487239995A5EE76B55F9C2F098",
278         "a89ce5af8724c0a23e0e0ff77500",
279         "DB7C2ABF62E35E7628DFAC6561C5",1,
280         _EC_SECG_PRIME_112R1_SEED, 20,
281         "SECG/WTLS recommended curve over a 112 bit prime field"
282         };
283
284 static const unsigned char _EC_SECG_PRIME_112R2_SEED[] = {
285         0x00,0x27,0x57,0xA1,0x11,0x4D,0x69,0x6E,0x67,0x68,
286         0x75,0x61,0x51,0x75,0x53,0x16,0xC0,0x5E,0x0B,0xD4};
287 static const EC_CURVE_DATA _EC_SECG_PRIME_112R2 = {
288         NID_X9_62_prime_field,
289         "DB7C2ABF62E35E668076BEAD208B",
290         "6127C24C05F38A0AAAF65C0EF02C",
291         "51DEF1815DB5ED74FCC34C85D709",
292         "4BA30AB5E892B4E1649DD0928643",
293         "adcd46f5882e3747def36e956e97",
294         "36DF0AAFD8B8D7597CA10520D04B",4, 
295         _EC_SECG_PRIME_112R2_SEED, 20,
296         "SECG recommended curve over a 112 bit prime field"
297         };
298
299 static const unsigned char _EC_SECG_PRIME_128R1_SEED[] = {
300         0x00,0x0E,0x0D,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,
301         0x51,0x75,0x0C,0xC0,0x3A,0x44,0x73,0xD0,0x36,0x79};
302 static const EC_CURVE_DATA _EC_SECG_PRIME_128R1 = {
303         NID_X9_62_prime_field,
304         "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
305         "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
306         "E87579C11079F43DD824993C2CEE5ED3",
307         "161FF7528B899B2D0C28607CA52C5B86",
308         "cf5ac8395bafeb13c02da292dded7a83",
309         "FFFFFFFE0000000075A30D1B9038A115",1,
310         _EC_SECG_PRIME_128R1_SEED, 20,
311         "SECG recommended curve over a 128 bit prime field"
312         };
313
314 static const unsigned char _EC_SECG_PRIME_128R2_SEED[] = {
315         0x00,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75,
316         0x12,0xD8,0xF0,0x34,0x31,0xFC,0xE6,0x3B,0x88,0xF4};
317 static const EC_CURVE_DATA _EC_SECG_PRIME_128R2 = {
318         NID_X9_62_prime_field,
319         "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
320         "D6031998D1B3BBFEBF59CC9BBFF9AEE1",
321         "5EEEFCA380D02919DC2C6558BB6D8A5D",
322         "7B6AA5D85E572983E6FB32A7CDEBC140",
323         "27b6916a894d3aee7106fe805fc34b44",
324         "3FFFFFFF7FFFFFFFBE0024720613B5A3",4,
325         _EC_SECG_PRIME_128R2_SEED, 20,
326         "SECG recommended curve over a 128 bit prime field"
327         };
328
329 static const EC_CURVE_DATA _EC_SECG_PRIME_160K1 = {
330         NID_X9_62_prime_field,
331         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
332         "0",
333         "7",
334         "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB",
335         "938cf935318fdced6bc28286531733c3f03c4fee",
336         "0100000000000000000001B8FA16DFAB9ACA16B6B3",1,
337         NULL, 0,
338         "SECG recommended curve over a 160 bit prime field"
339         };
340
341 static const unsigned char _EC_SECG_PRIME_160R1_SEED[] = {
342         0x10,0x53,0xCD,0xE4,0x2C,0x14,0xD6,0x96,0xE6,0x76,
343         0x87,0x56,0x15,0x17,0x53,0x3B,0xF3,0xF8,0x33,0x45};
344 static const EC_CURVE_DATA _EC_SECG_PRIME_160R1 = {
345         NID_X9_62_prime_field,
346         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
347         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
348         "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
349         "4A96B5688EF573284664698968C38BB913CBFC82",
350         "23a628553168947d59dcc912042351377ac5fb32",
351         "0100000000000000000001F4C8F927AED3CA752257",1,
352         _EC_SECG_PRIME_160R1_SEED, 20,
353         "SECG recommended curve over a 160 bit prime field"
354         };
355
356 static const unsigned char _EC_SECG_PRIME_160R2_SEED[] = {
357         0xB9,0x9B,0x99,0xB0,0x99,0xB3,0x23,0xE0,0x27,0x09,
358         0xA4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x51};
359 static const EC_CURVE_DATA _EC_SECG_PRIME_160R2 = {
360         NID_X9_62_prime_field,
361         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
362         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
363         "B4E134D3FB59EB8BAB57274904664D5AF50388BA",
364         "52DCB034293A117E1F4FF11B30F7199D3144CE6D",
365         "feaffef2e331f296e071fa0df9982cfea7d43f2e",
366         "0100000000000000000000351EE786A818F3A1A16B",1,
367         _EC_SECG_PRIME_160R2_SEED, 20,
368         "SECG/WTLS recommended curve over a 160 bit prime field"
369         };
370
371 static const EC_CURVE_DATA _EC_SECG_PRIME_192K1 = {
372         NID_X9_62_prime_field,
373         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
374         "0",
375         "3",
376         "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D",
377         "9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d",
378         "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",1,
379         NULL, 20,
380         "SECG recommended curve over a 192 bit prime field"
381         };
382
383 static const EC_CURVE_DATA _EC_SECG_PRIME_224K1 = {
384         NID_X9_62_prime_field,
385         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
386         "0",
387         "5",
388         "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C",
389         "7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5",
390         "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",1,
391         NULL, 20,
392         "SECG recommended curve over a 224 bit prime field"
393         };
394
395 static const EC_CURVE_DATA _EC_SECG_PRIME_256K1 = {
396         NID_X9_62_prime_field,
397         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
398         "0",
399         "7",
400         "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798",
401         "483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",
402         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",1,
403         NULL, 20,
404         "SECG recommended curve over a 256 bit prime field"
405         };
406
407 /* some wap/wtls curves */
408 static const EC_CURVE_DATA _EC_WTLS_8 = {
409         NID_X9_62_prime_field,
410         "FFFFFFFFFFFFFFFFFFFFFFFFFDE7",
411         "0",
412         "3",
413         "1",
414         "2",
415         "0100000000000001ECEA551AD837E9",1,
416         NULL, 20,
417         "112 bit prime curve from the WTLS standard"
418         };
419
420 static const EC_CURVE_DATA _EC_WTLS_9 = {
421         NID_X9_62_prime_field,
422         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC808F",
423         "0",
424         "3",
425         "1",
426         "2",
427         "0100000000000000000001CDC98AE0E2DE574ABF33",1,
428         NULL, 20,
429         "160 bit prime curve from the WTLS standard"
430         };
431
432 static const EC_CURVE_DATA _EC_WTLS_12 = {
433         NID_X9_62_prime_field,
434         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
435         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
436         "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
437         "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
438         "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
439         "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1,
440         NULL, 0,
441         "224 bit prime curve from the WTLS standard"
442         };
443
444 /* characteristic two curves */
445 static const unsigned char _EC_SECG_CHAR2_113R1_SEED[] = {
446         0x10,0xE7,0x23,0xAB,0x14,0xD6,0x96,0xE6,0x76,0x87,
447         0x56,0x15,0x17,0x56,0xFE,0xBF,0x8F,0xCB,0x49,0xA9};
448 static const EC_CURVE_DATA _EC_SECG_CHAR2_113R1 = {
449         NID_X9_62_characteristic_two_field,
450         "020000000000000000000000000201",
451         "003088250CA6E7C7FE649CE85820F7",
452         "00E8BEE4D3E2260744188BE0E9C723",
453         "009D73616F35F4AB1407D73562C10F",
454         "00A52830277958EE84D1315ED31886",
455         "0100000000000000D9CCEC8A39E56F", 2,
456         _EC_SECG_CHAR2_113R1_SEED, 20,
457         "SECG recommended curve over a 113 bit binary field"
458         };
459
460 static const unsigned char _EC_SECG_CHAR2_113R2_SEED[] = {
461         0x10,0xC0,0xFB,0x15,0x76,0x08,0x60,0xDE,0xF1,0xEE,
462         0xF4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x5D};
463 static const EC_CURVE_DATA _EC_SECG_CHAR2_113R2 = {
464         NID_X9_62_characteristic_two_field,
465         "020000000000000000000000000201",
466         "00689918DBEC7E5A0DD6DFC0AA55C7",
467         "0095E9A9EC9B297BD4BF36E059184F",
468         "01A57A6A7B26CA5EF52FCDB8164797",
469         "00B3ADC94ED1FE674C06E695BABA1D",
470         "010000000000000108789B2496AF93", 2,
471         _EC_SECG_CHAR2_113R2_SEED, 20,
472         "SECG recommended curve over a 113 bit binary field"
473         };
474
475 static const unsigned char _EC_SECG_CHAR2_131R1_SEED[] = {
476         0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75,0x98,
477         0x5B,0xD3,0xAD,0xBA,0xDA,0x21,0xB4,0x3A,0x97,0xE2};
478 static const EC_CURVE_DATA _EC_SECG_CHAR2_131R1 = {
479         NID_X9_62_characteristic_two_field,
480         "080000000000000000000000000000010D",
481         "07A11B09A76B562144418FF3FF8C2570B8",
482         "0217C05610884B63B9C6C7291678F9D341",
483         "0081BAF91FDF9833C40F9C181343638399",
484         "078C6E7EA38C001F73C8134B1B4EF9E150",
485         "0400000000000000023123953A9464B54D", 2,
486         _EC_SECG_CHAR2_131R1_SEED, 20,
487         "SECG/WTLS recommended curve over a 131 bit binary field"
488         };
489
490 static const unsigned char _EC_SECG_CHAR2_131R2_SEED[] = {
491         0x98,0x5B,0xD3,0xAD,0xBA,0xD4,0xD6,0x96,0xE6,0x76,
492         0x87,0x56,0x15,0x17,0x5A,0x21,0xB4,0x3A,0x97,0xE3};
493 static const EC_CURVE_DATA _EC_SECG_CHAR2_131R2 = {
494         NID_X9_62_characteristic_two_field,
495         "080000000000000000000000000000010D",
496         "03E5A88919D7CAFCBF415F07C2176573B2",
497         "04B8266A46C55657AC734CE38F018F2192",
498         "0356DCD8F2F95031AD652D23951BB366A8",
499         "0648F06D867940A5366D9E265DE9EB240F",
500         "0400000000000000016954A233049BA98F", 2,
501         _EC_SECG_CHAR2_131R2_SEED, 20,
502         "SECG recommended curve over a 131 bit binary field"
503         };
504
505 static const EC_CURVE_DATA _EC_SECG_CHAR2_163K1 = {
506         NID_X9_62_characteristic_two_field,
507         "0800000000000000000000000000000000000000C9",
508         "1",
509         "1",
510         "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
511         "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
512         "04000000000000000000020108A2E0CC0D99F8A5EF", 2,
513         NULL, 0,
514         "SECG/NIST/WTLS recommended curve over a 163 bit binary field"
515         };
516
517 static const unsigned char _EC_SECG_CHAR2_163R1_SEED[] = {
518         0x24,0xB7,0xB1,0x37,0xC8,0xA1,0x4D,0x69,0x6E,0x67,
519         0x68,0x75,0x61,0x51,0x75,0x6F,0xD0,0xDA,0x2E,0x5C};
520 static const EC_CURVE_DATA _EC_SECG_CHAR2_163R1 = {
521         NID_X9_62_characteristic_two_field,
522         "0800000000000000000000000000000000000000C9",
523         "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
524         "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
525         "0369979697AB43897789566789567F787A7876A654",
526         "00435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
527         "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B", 2,
528         _EC_SECG_CHAR2_163R1_SEED, 20,
529         "SECG recommended curve over a 163 bit binary field"
530         };
531
532 static const unsigned char _EC_SECG_CHAR2_163R2_SEED[] = {
533         0x85,0xE2,0x5B,0xFE,0x5C,0x86,0x22,0x6C,0xDB,0x12,
534         0x01,0x6F,0x75,0x53,0xF9,0xD0,0xE6,0x93,0xA2,0x68};
535 static const EC_CURVE_DATA _EC_SECG_CHAR2_163R2 ={
536         NID_X9_62_characteristic_two_field,
537         "0800000000000000000000000000000000000000C9",
538         "1",
539         "020A601907B8C953CA1481EB10512F78744A3205FD",
540         "03F0EBA16286A2D57EA0991168D4994637E8343E36",
541         "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
542         "040000000000000000000292FE77E70C12A4234C33", 2,
543         _EC_SECG_CHAR2_163R2_SEED, 20,
544         "SECG/NIST recommended curve over a 163 bit binary field"
545         };
546
547 static const unsigned char _EC_SECG_CHAR2_193R1_SEED[] = {
548         0x10,0x3F,0xAE,0xC7,0x4D,0x69,0x6E,0x67,0x68,0x75,
549         0x61,0x51,0x75,0x77,0x7F,0xC5,0xB1,0x91,0xEF,0x30};
550 static const EC_CURVE_DATA _EC_SECG_CHAR2_193R1 = {
551         NID_X9_62_characteristic_two_field,
552         "02000000000000000000000000000000000000000000008001",
553         "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
554         "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
555         "01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1",
556         "0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
557         "01000000000000000000000000C7F34A778F443ACC920EBA49", 2,
558         _EC_SECG_CHAR2_193R1_SEED, 20,
559         "SECG recommended curve over a 193 bit binary field"
560         };
561
562 static const unsigned char _EC_SECG_CHAR2_193R2_SEED[] = {
563         0x10,0xB7,0xB4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,
564         0x17,0x51,0x37,0xC8,0xA1,0x6F,0xD0,0xDA,0x22,0x11};
565 static const EC_CURVE_DATA _EC_SECG_CHAR2_193R2 = {
566         NID_X9_62_characteristic_two_field,
567         "02000000000000000000000000000000000000000000008001",
568         "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
569         "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
570         "00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F",
571         "01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
572         "010000000000000000000000015AAB561B005413CCD4EE99D5", 2,
573         _EC_SECG_CHAR2_193R2_SEED, 20,
574         "SECG recommended curve over a 193 bit binary field"
575         };
576
577 static const EC_CURVE_DATA _EC_SECG_CHAR2_233K1 = {
578         NID_X9_62_characteristic_two_field,
579         "020000000000000000000000000000000000000004000000000000000001",
580         "0",
581         "1",
582         "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
583         "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
584         "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4,
585         NULL, 0,
586         "SECG/NIST/WTLS recommended curve over a 233 bit binary field"
587         };
588
589 static const unsigned char _EC_SECG_CHAR2_233R1_SEED[] = {
590         0x74,0xD5,0x9F,0xF0,0x7F,0x6B,0x41,0x3D,0x0E,0xA1,
591         0x4B,0x34,0x4B,0x20,0xA2,0xDB,0x04,0x9B,0x50,0xC3};
592 static const EC_CURVE_DATA _EC_SECG_CHAR2_233R1 = {
593         NID_X9_62_characteristic_two_field,
594         "020000000000000000000000000000000000000004000000000000000001",
595         "000000000000000000000000000000000000000000000000000000000001",
596         "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
597         "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
598         "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
599         "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2,
600         _EC_SECG_CHAR2_233R1_SEED, 20,
601         "SECG/NIST/WTLS recommended curve over a 233 bit binary field"
602         };
603
604 static const EC_CURVE_DATA _EC_SECG_CHAR2_239K1 = {
605         NID_X9_62_characteristic_two_field,
606         "800000000000000000004000000000000000000000000000000000000001",
607         "0",
608         "1",
609         "29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC",
610         "76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
611         "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5", 4,
612         NULL, 0,
613         "SECG recommended curve over a 239 bit binary field"
614         };
615
616 static const EC_CURVE_DATA _EC_SECG_CHAR2_283K1 = {
617         NID_X9_62_characteristic_two_field,
618         "080000000000000000000000000000000000000000000000000000000000000000001"
619         "0A1",
620         "0",
621         "1",
622         "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492"
623         "836",
624         "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2"
625         "259",
626         "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163"
627         "C61", 4,
628         NULL, 20,
629         "SECG/NIST recommended curve over a 283 bit binary field"
630         };
631
632 static const unsigned char _EC_SECG_CHAR2_283R1_SEED[] = {
633         0x77,0xE2,0xB0,0x73,0x70,0xEB,0x0F,0x83,0x2A,0x6D,
634         0xD5,0xB6,0x2D,0xFC,0x88,0xCD,0x06,0xBB,0x84,0xBE};
635 static const EC_CURVE_DATA _EC_SECG_CHAR2_283R1 = {
636         NID_X9_62_characteristic_two_field,
637         "080000000000000000000000000000000000000000000000000000000000000000001"
638         "0A1",
639         "000000000000000000000000000000000000000000000000000000000000000000000"
640         "001",
641         "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A"
642         "2F5",
643         "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12"
644         "053",
645         "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE811"
646         "2F4",
647         "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB"
648         "307", 2,
649         _EC_SECG_CHAR2_283R1_SEED, 20,
650         "SECG/NIST recommended curve over a 283 bit binary field"
651         };
652
653 static const EC_CURVE_DATA _EC_SECG_CHAR2_409K1 = {
654         NID_X9_62_characteristic_two_field,
655         "020000000000000000000000000000000000000000000000000000000000000000000"
656         "00000000000008000000000000000000001",
657         "0",
658         "1",
659         "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C4601"
660         "89EB5AAAA62EE222EB1B35540CFE9023746",
661         "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6"
662         "C42E9C55215AA9CA27A5863EC48D8E0286B",
663         "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400"
664         "EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 4,
665         NULL, 0,
666         "SECG/NIST recommended curve over a 409 bit binary field"
667         };
668
669 static const unsigned char _EC_SECG_CHAR2_409R1_SEED[] = {
670         0x40,0x99,0xB5,0xA4,0x57,0xF9,0xD6,0x9F,0x79,0x21,
671         0x3D,0x09,0x4C,0x4B,0xCD,0x4D,0x42,0x62,0x21,0x0B};
672 static const EC_CURVE_DATA _EC_SECG_CHAR2_409R1 = {
673         NID_X9_62_characteristic_two_field,
674         "020000000000000000000000000000000000000000000000000000000000000000000"
675         "00000000000008000000000000000000001",
676         "000000000000000000000000000000000000000000000000000000000000000000000"
677         "00000000000000000000000000000000001",
678         "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A19"
679         "7B272822F6CD57A55AA4F50AE317B13545F",
680         "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255"
681         "A868A1180515603AEAB60794E54BB7996A7",
682         "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514"
683         "F1FDF4B4F40D2181B3681C364BA0273C706",
684         "010000000000000000000000000000000000000000000000000001E2AAD6A612F3330"
685         "7BE5FA47C3C9E052F838164CD37D9A21173", 2,
686         _EC_SECG_CHAR2_409R1_SEED, 20,
687         "SECG/NIST recommended curve over a 409 bit binary field"
688         };
689
690 static const EC_CURVE_DATA _EC_SECG_CHAR2_571K1 = {
691         NID_X9_62_characteristic_two_field,
692         "800000000000000000000000000000000000000000000000000000000000000000000"
693         "000000000000000000000000000000000000000000000000000000000000000000000"
694         "00425",
695         "0",
696         "1",
697         "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA443709"
698         "58493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A0"
699         "1C8972",
700         "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D497"
701         "9C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143E"
702         "F1C7A3",
703         "020000000000000000000000000000000000000000000000000000000000000000000"
704         "000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F63"
705         "7C1001", 4,
706         NULL, 0,
707         "SECG/NIST recommended curve over a 571 bit binary field"
708         };
709
710 static const unsigned char _EC_SECG_CHAR2_571R1_SEED[] = {
711         0x2A,0xA0,0x58,0xF7,0x3A,0x0E,0x33,0xAB,0x48,0x6B,
712         0x0F,0x61,0x04,0x10,0xC5,0x3A,0x7F,0x13,0x23,0x10};
713 static const EC_CURVE_DATA _EC_SECG_CHAR2_571R1 = {
714         NID_X9_62_characteristic_two_field,
715         "800000000000000000000000000000000000000000000000000000000000000000000"
716         "000000000000000000000000000000000000000000000000000000000000000000000"
717         "00425",
718         "000000000000000000000000000000000000000000000000000000000000000000000"
719         "000000000000000000000000000000000000000000000000000000000000000000000"
720         "000001",
721         "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFA"
722         "BBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F29"
723         "55727A",
724         "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53"
725         "950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8E"
726         "EC2D19",
727         "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423"
728         "E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B"
729         "8AC15B",
730         "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
731         "FFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2F"
732         "E84E47", 2,
733         _EC_SECG_CHAR2_571R1_SEED, 20,
734         "SECG/NIST recommended curve over a 571 bit binary field"
735         };
736
737 static const unsigned char _EC_X9_62_CHAR2_163V1_SEED[] = {
738         0xD2,0xC0,0xFB,0x15,0x76,0x08,0x60,0xDE,0xF1,0xEE,
739         0xF4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x54};
740 static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V1 = {
741         NID_X9_62_characteristic_two_field,
742         "0800000000000000000000000000000000000000C9",
743         "072546B5435234A422E0789675F432C89435DE5242",
744         "00C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9",
745         "07AF69989546103D79329FCC3D74880F33BBE803CB",
746         "0190C402D65BCC2B845337BC52352774E879B94B0D",
747         "0400000000000000000001E60FC8821CC74DAEAFC1", 2,
748         _EC_X9_62_CHAR2_163V1_SEED, 20,
749         "163 bit binary curve from the X9.62 draft"
750         };
751
752 static const unsigned char _EC_X9_62_CHAR2_163V2_SEED[] = {
753         0x53,0x81,0x4C,0x05,0x0D,0x44,0xD6,0x96,0xE6,0x76,
754         0x87,0x56,0x15,0x17,0x58,0x0C,0xA4,0xE2,0x9F,0xFD};
755 static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V2 = {
756         NID_X9_62_characteristic_two_field,
757         "0800000000000000000000000000000000000000C9",
758         "0108B39E77C4B108BED981ED0E890E117C511CF072",
759         "0667ACEB38AF4E488C407433FFAE4F1C811638DF20",
760         "0024266E4EB5106D0A964D92C4860E2671DB9B6CC5",
761         "01F64F1C0280E19A062003DBAECEAEDEC1CE141D41",
762         "03FFFFFFFFFFFFFFFFFFFDF64DE1151ADBB78F10A7", 2,
763         _EC_X9_62_CHAR2_163V2_SEED, 20,
764         "163 bit binary curve from the X9.62 draft"
765         };
766
767 static const unsigned char _EC_X9_62_CHAR2_163V3_SEED[] = {
768         0x50,0xCB,0xF1,0xD9,0x5C,0xA9,0x4D,0x69,0x6E,0x67,
769         0x68,0x75,0x61,0x51,0x75,0xF1,0x6A,0x36,0xA3,0xB8};
770 static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V3 = {
771         NID_X9_62_characteristic_two_field,
772         "0800000000000000000000000000000000000000C9",
773         "07A526C63D3E25A256A007699F5447E32AE456B50E",
774         "03F7061798EB99E238FD6F1BF95B48FEEB4854252B",
775         "02F9F87B7C574D0BDECF8A22E6524775F98CDEBDCB",
776         "01D42417D750A363F61E455807D047059CA039ACFE",
777         "03FFFFFFFFFFFFFFFFFFFE1AEE140F110AFF961309", 2,
778         _EC_X9_62_CHAR2_163V3_SEED, 20,
779         "163 bit binary curve from the X9.62 draft"
780         };
781
782 static const EC_CURVE_DATA _EC_X9_62_CHAR2_176V1 = {
783         NID_X9_62_characteristic_two_field,
784         "0100000000000000000000000000000000080000000007",
785         "E4E6DB2995065C407D9D39B8D0967B96704BA8E9C90B",
786         "5DDA470ABE6414DE8EC133AE28E9BBD7FCEC0AE0FFF2",
787         "8D16C2866798B600F9F08BB4A8E860F3298CE04A5798",
788         "6FA4539C2DADDDD6BAB5167D61B436E1D92BB16A562C",
789         "00010092537397ECA4F6145799D62B0A19CE06FE26AD", 0xFF6E,
790         NULL, 0,
791         "176 bit binary curve from the X9.62 draft"
792         };
793
794 static const unsigned char _EC_X9_62_CHAR2_191V1_SEED[] = {
795         0x4E,0x13,0xCA,0x54,0x27,0x44,0xD6,0x96,0xE6,0x76,
796         0x87,0x56,0x15,0x17,0x55,0x2F,0x27,0x9A,0x8C,0x84};
797 static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V1 = {
798         NID_X9_62_characteristic_two_field,
799         "800000000000000000000000000000000000000000000201",
800         "2866537B676752636A68F56554E12640276B649EF7526267",
801         "2E45EF571F00786F67B0081B9495A3D95462F5DE0AA185EC",
802         "36B3DAF8A23206F9C4F299D7B21A9C369137F2C84AE1AA0D",
803         "765BE73433B3F95E332932E70EA245CA2418EA0EF98018FB",
804         "40000000000000000000000004A20E90C39067C893BBB9A5", 2,
805         _EC_X9_62_CHAR2_191V1_SEED, 20,
806         "191 bit binary curve from the X9.62 draft"
807         };
808
809 static const unsigned char _EC_X9_62_CHAR2_191V2_SEED[] = {
810         0x08,0x71,0xEF,0x2F,0xEF,0x24,0xD6,0x96,0xE6,0x76,
811         0x87,0x56,0x15,0x17,0x58,0xBE,0xE0,0xD9,0x5C,0x15};
812 static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V2 = {
813         NID_X9_62_characteristic_two_field,
814         "800000000000000000000000000000000000000000000201",
815         "401028774D7777C7B7666D1366EA432071274F89FF01E718",
816         "0620048D28BCBD03B6249C99182B7C8CD19700C362C46A01",
817         "3809B2B7CC1B28CC5A87926AAD83FD28789E81E2C9E3BF10",
818         "17434386626D14F3DBF01760D9213A3E1CF37AEC437D668A",
819         "20000000000000000000000050508CB89F652824E06B8173", 4,
820         _EC_X9_62_CHAR2_191V2_SEED, 20,
821         "191 bit binary curve from the X9.62 draft"
822         };
823
824 static const unsigned char _EC_X9_62_CHAR2_191V3_SEED[] = {
825         0xE0,0x53,0x51,0x2D,0xC6,0x84,0xD6,0x96,0xE6,0x76,
826         0x87,0x56,0x15,0x17,0x50,0x67,0xAE,0x78,0x6D,0x1F};
827 static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V3 = {
828         NID_X9_62_characteristic_two_field,
829         "800000000000000000000000000000000000000000000201",
830         "6C01074756099122221056911C77D77E77A777E7E7E77FCB",
831         "71FE1AF926CF847989EFEF8DB459F66394D90F32AD3F15E8",
832         "375D4CE24FDE434489DE8746E71786015009E66E38A926DD",
833         "545A39176196575D985999366E6AD34CE0A77CD7127B06BE",
834         "155555555555555555555555610C0B196812BFB6288A3EA3", 6,
835         _EC_X9_62_CHAR2_191V3_SEED, 20,
836         "191 bit binary curve from the X9.62 draft"
837         };
838
839 static const EC_CURVE_DATA _EC_X9_62_CHAR2_208W1 = {
840         NID_X9_62_characteristic_two_field,
841         "010000000000000000000000000000000800000000000000000007",
842         "0000000000000000000000000000000000000000000000000000",
843         "C8619ED45A62E6212E1160349E2BFA844439FAFC2A3FD1638F9E",
844         "89FDFBE4ABE193DF9559ECF07AC0CE78554E2784EB8C1ED1A57A",
845         "0F55B51A06E78E9AC38A035FF520D8B01781BEB1A6BB08617DE3",
846         "000101BAF95C9723C57B6C21DA2EFF2D5ED588BDD5717E212F9D", 0xFE48,
847         NULL, 0,
848         "208 bit binary curve from the X9.62 draft"
849         };
850
851 static const unsigned char _EC_X9_62_CHAR2_239V1_SEED[] = {
852         0xD3,0x4B,0x9A,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,
853         0x51,0x75,0xCA,0x71,0xB9,0x20,0xBF,0xEF,0xB0,0x5D};
854 static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V1 = {
855         NID_X9_62_characteristic_two_field,
856         "800000000000000000000000000000000000000000000000001000000001",
857         "32010857077C5431123A46B808906756F543423E8D27877578125778AC76",
858         "790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16",
859         "57927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D",
860         "61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305",
861         "2000000000000000000000000000000F4D42FFE1492A4993F1CAD666E447", 4,
862         _EC_X9_62_CHAR2_239V1_SEED, 20,
863         "239 bit binary curve from the X9.62 draft"
864         };
865
866 static const unsigned char _EC_X9_62_CHAR2_239V2_SEED[] = {
867         0x2A,0xA6,0x98,0x2F,0xDF,0xA4,0xD6,0x96,0xE6,0x76,
868         0x87,0x56,0x15,0x17,0x5D,0x26,0x67,0x27,0x27,0x7D};
869 static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V2 = {
870         NID_X9_62_characteristic_two_field,
871         "800000000000000000000000000000000000000000000000001000000001",
872         "4230017757A767FAE42398569B746325D45313AF0766266479B75654E65F",
873         "5037EA654196CFF0CD82B2C14A2FCF2E3FF8775285B545722F03EACDB74B",
874         "28F9D04E900069C8DC47A08534FE76D2B900B7D7EF31F5709F200C4CA205",
875         "5667334C45AFF3B5A03BAD9DD75E2C71A99362567D5453F7FA6E227EC833",
876         "1555555555555555555555555555553C6F2885259C31E3FCDF154624522D", 6,
877         _EC_X9_62_CHAR2_239V2_SEED, 20,
878         "239 bit binary curve from the X9.62 draft"
879         };
880
881 static const unsigned char _EC_X9_62_CHAR2_239V3_SEED[] = {
882         0x9E,0x07,0x6F,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,
883         0x51,0x75,0xE1,0x1E,0x9F,0xDD,0x77,0xF9,0x20,0x41};
884 static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V3 = {
885         NID_X9_62_characteristic_two_field,
886         "800000000000000000000000000000000000000000000000001000000001",
887         "01238774666A67766D6676F778E676B66999176666E687666D8766C66A9F",
888         "6A941977BA9F6A435199ACFC51067ED587F519C5ECB541B8E44111DE1D40",
889         "70F6E9D04D289C4E89913CE3530BFDE903977D42B146D539BF1BDE4E9C92",
890         "2E5A0EAF6E5E1305B9004DCE5C0ED7FE59A35608F33837C816D80B79F461",
891         "0CCCCCCCCCCCCCCCCCCCCCCCCCCCCCAC4912D2D9DF903EF9888B8A0E4CFF", 0xA,
892         _EC_X9_62_CHAR2_239V3_SEED, 20,
893         "239 bit binary curve from the X9.62 draft"
894         };
895
896 static const EC_CURVE_DATA _EC_X9_62_CHAR2_272W1 = {
897         NID_X9_62_characteristic_two_field,
898         "010000000000000000000000000000000000000000000000000000010000000000000"
899         "B",
900         "91A091F03B5FBA4AB2CCF49C4EDD220FB028712D42BE752B2C40094DBACDB586FB20",
901         "7167EFC92BB2E3CE7C8AAAFF34E12A9C557003D7C73A6FAF003F99F6CC8482E540F7",
902         "6108BABB2CEEBCF787058A056CBE0CFE622D7723A289E08A07AE13EF0D10D171DD8D",
903         "10C7695716851EEF6BA7F6872E6142FBD241B830FF5EFCACECCAB05E02005DDE9D23",
904         "000100FAF51354E0E39E4892DF6E319C72C8161603FA45AA7B998A167B8F1E629521",
905         0xFF06,
906         NULL, 0,
907         "272 bit binary curve from the X9.62 draft"
908         };
909
910 static const EC_CURVE_DATA _EC_X9_62_CHAR2_304W1 = {
911         NID_X9_62_characteristic_two_field,
912         "010000000000000000000000000000000000000000000000000000000000000000000"
913         "000000807",
914         "FD0D693149A118F651E6DCE6802085377E5F882D1B510B44160074C1288078365A039"
915         "6C8E681",
916         "BDDB97E555A50A908E43B01C798EA5DAA6788F1EA2794EFCF57166B8C14039601E558"
917         "27340BE",
918         "197B07845E9BE2D96ADB0F5F3C7F2CFFBD7A3EB8B6FEC35C7FD67F26DDF6285A644F7"
919         "40A2614",
920         "E19FBEB76E0DA171517ECF401B50289BF014103288527A9B416A105E80260B549FDC1"
921         "B92C03B",
922         "000101D556572AABAC800101D556572AABAC8001022D5C91DD173F8FB561DA6899164"
923         "443051D", 0xFE2E,
924         NULL, 0,
925         "304 bit binary curve from the X9.62 draft"
926         };
927
928 static const unsigned char _EC_X9_62_CHAR2_359V1_SEED[] = {
929         0x2B,0x35,0x49,0x20,0xB7,0x24,0xD6,0x96,0xE6,0x76,
930         0x87,0x56,0x15,0x17,0x58,0x5B,0xA1,0x33,0x2D,0xC6};
931 static const EC_CURVE_DATA _EC_X9_62_CHAR2_359V1 = {
932         NID_X9_62_characteristic_two_field,
933         "800000000000000000000000000000000000000000000000000000000000000000000"
934         "000100000000000000001",
935         "5667676A654B20754F356EA92017D946567C46675556F19556A04616B567D223A5E05"
936         "656FB549016A96656A557",
937         "2472E2D0197C49363F1FE7F5B6DB075D52B6947D135D8CA445805D39BC34562608968"
938         "7742B6329E70680231988",
939         "3C258EF3047767E7EDE0F1FDAA79DAEE3841366A132E163ACED4ED2401DF9C6BDCDE9"
940         "8E8E707C07A2239B1B097",
941         "53D7E08529547048121E9C95F3791DD804963948F34FAE7BF44EA82365DC7868FE57E"
942         "4AE2DE211305A407104BD",
943         "01AF286BCA1AF286BCA1AF286BCA1AF286BCA1AF286BC9FB8F6B85C556892C20A7EB9"
944         "64FE7719E74F490758D3B", 0x4C,
945         _EC_X9_62_CHAR2_359V1_SEED, 20,
946         "359 bit binary curve from the X9.62 draft"
947         };
948
949 static const EC_CURVE_DATA _EC_X9_62_CHAR2_368W1 = {
950         NID_X9_62_characteristic_two_field,
951         "010000000000000000000000000000000000000000000000000000000000000000000"
952         "0002000000000000000000007",
953         "E0D2EE25095206F5E2A4F9ED229F1F256E79A0E2B455970D8D0D865BD94778C576D62"
954         "F0AB7519CCD2A1A906AE30D",
955         "FC1217D4320A90452C760A58EDCD30C8DD069B3C34453837A34ED50CB54917E1C2112"
956         "D84D164F444F8F74786046A",
957         "1085E2755381DCCCE3C1557AFA10C2F0C0C2825646C5B34A394CBCFA8BC16B22E7E78"
958         "9E927BE216F02E1FB136A5F",
959         "7B3EB1BDDCBA62D5D8B2059B525797FC73822C59059C623A45FF3843CEE8F87CD1855"
960         "ADAA81E2A0750B80FDA2310",
961         "00010090512DA9AF72B08349D98A5DD4C7B0532ECA51CE03E2D10F3B7AC579BD87E90"
962         "9AE40A6F131E9CFCE5BD967", 0xFF70,
963         NULL, 0,
964         "368 bit binary curve from the X9.62 draft"
965         };
966
967 static const EC_CURVE_DATA _EC_X9_62_CHAR2_431R1 = {
968         NID_X9_62_characteristic_two_field,
969         "800000000000000000000000000000000000000000000000000000000000000000000"
970         "000000001000000000000000000000000000001",
971         "1A827EF00DD6FC0E234CAF046C6A5D8A85395B236CC4AD2CF32A0CADBDC9DDF620B0E"
972         "B9906D0957F6C6FEACD615468DF104DE296CD8F",
973         "10D9B4A3D9047D8B154359ABFB1B7F5485B04CEB868237DDC9DEDA982A679A5A919B6"
974         "26D4E50A8DD731B107A9962381FB5D807BF2618",
975         "120FC05D3C67A99DE161D2F4092622FECA701BE4F50F4758714E8A87BBF2A658EF8C2"
976         "1E7C5EFE965361F6C2999C0C247B0DBD70CE6B7",
977         "20D0AF8903A96F8D5FA2C255745D3C451B302C9346D9B7E485E7BCE41F6B591F3E8F6"
978         "ADDCBB0BC4C2F947A7DE1A89B625D6A598B3760",
979         "0340340340340340340340340340340340340340340340340340340323C313FAB5058"
980         "9703B5EC68D3587FEC60D161CC149C1AD4A91", 0x2760,
981         NULL, 0,
982         "431 bit binary curve from the X9.62 draft"
983         };
984
985 static const EC_CURVE_DATA _EC_WTLS_1 = {
986         NID_X9_62_characteristic_two_field,
987         "020000000000000000000000000201",
988         "1",
989         "1",
990         "01667979A40BA497E5D5C270780617",
991         "00F44B4AF1ECC2630E08785CEBCC15",
992         "00FFFFFFFFFFFFFFFDBF91AF6DEA73", 2,
993         NULL, 0,
994         "113 bit binary curve from the WTLS standard"
995         };
996
997 typedef struct _ec_list_element_st {
998         int     nid;
999         const EC_CURVE_DATA *data;
1000         } ec_list_element;
1001
1002 static const ec_list_element curve_list[] = {
1003         /* prime field curves */        
1004         /* secg curves */
1005         { NID_secp112r1, &_EC_SECG_PRIME_112R1},
1006         { NID_secp112r2, &_EC_SECG_PRIME_112R2},
1007         { NID_secp128r1, &_EC_SECG_PRIME_128R1},
1008         { NID_secp128r2, &_EC_SECG_PRIME_128R2},
1009         { NID_secp160k1, &_EC_SECG_PRIME_160K1},
1010         { NID_secp160r1, &_EC_SECG_PRIME_160R1},
1011         { NID_secp160r2, &_EC_SECG_PRIME_160R2},
1012         { NID_secp192k1, &_EC_SECG_PRIME_192K1},
1013         { NID_secp224k1, &_EC_SECG_PRIME_224K1},
1014         { NID_secp224r1, &_EC_NIST_PRIME_224},
1015         { NID_secp256k1, &_EC_SECG_PRIME_256K1},
1016         { NID_secp384r1, &_EC_NIST_PRIME_384},
1017         { NID_secp521r1, &_EC_NIST_PRIME_521},
1018         /* X9.62 curves */
1019         { NID_X9_62_prime192v1,  &_EC_NIST_PRIME_192},
1020         { NID_X9_62_prime192v2, &_EC_X9_62_PRIME_192V2},
1021         { NID_X9_62_prime192v3, &_EC_X9_62_PRIME_192V3},
1022         { NID_X9_62_prime239v1, &_EC_X9_62_PRIME_239V1},
1023         { NID_X9_62_prime239v2, &_EC_X9_62_PRIME_239V2},
1024         { NID_X9_62_prime239v3, &_EC_X9_62_PRIME_239V3},
1025         { NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1},
1026         /* characteristic two field curves */
1027         /* secg curves */
1028         { NID_sect113r1, &_EC_SECG_CHAR2_113R1},
1029         { NID_sect113r2, &_EC_SECG_CHAR2_113R2},
1030         { NID_sect131r1, &_EC_SECG_CHAR2_131R1},
1031         { NID_sect131r2, &_EC_SECG_CHAR2_131R2},
1032         { NID_sect163k1, &_EC_SECG_CHAR2_163K1},
1033         { NID_sect163r1, &_EC_SECG_CHAR2_163R1},
1034         { NID_sect163r2, &_EC_SECG_CHAR2_163R2},
1035         { NID_sect193r1, &_EC_SECG_CHAR2_193R1},
1036         { NID_sect193r2, &_EC_SECG_CHAR2_193R2},
1037         { NID_sect233k1, &_EC_SECG_CHAR2_233K1},
1038         { NID_sect233r1, &_EC_SECG_CHAR2_233R1},
1039         { NID_sect239k1, &_EC_SECG_CHAR2_239K1},
1040         { NID_sect283k1, &_EC_SECG_CHAR2_283K1},
1041         { NID_sect283r1, &_EC_SECG_CHAR2_283R1},
1042         { NID_sect409k1, &_EC_SECG_CHAR2_409K1},
1043         { NID_sect409r1, &_EC_SECG_CHAR2_409R1},
1044         { NID_sect571k1, &_EC_SECG_CHAR2_571K1},
1045         { NID_sect571r1, &_EC_SECG_CHAR2_571R1},
1046         /* X9.62 curves */
1047         { NID_X9_62_c2pnb163v1, &_EC_X9_62_CHAR2_163V1},
1048         { NID_X9_62_c2pnb163v2, &_EC_X9_62_CHAR2_163V2},
1049         { NID_X9_62_c2pnb163v3, &_EC_X9_62_CHAR2_163V3},
1050         { NID_X9_62_c2pnb176v1, &_EC_X9_62_CHAR2_176V1},
1051         { NID_X9_62_c2tnb191v1, &_EC_X9_62_CHAR2_191V1},
1052         { NID_X9_62_c2tnb191v2, &_EC_X9_62_CHAR2_191V2},
1053         { NID_X9_62_c2tnb191v3, &_EC_X9_62_CHAR2_191V3},
1054         { NID_X9_62_c2pnb208w1, &_EC_X9_62_CHAR2_208W1},
1055         { NID_X9_62_c2tnb239v1, &_EC_X9_62_CHAR2_239V1},
1056         { NID_X9_62_c2tnb239v2, &_EC_X9_62_CHAR2_239V2},
1057         { NID_X9_62_c2tnb239v3, &_EC_X9_62_CHAR2_239V3},
1058         { NID_X9_62_c2pnb272w1, &_EC_X9_62_CHAR2_272W1},
1059         { NID_X9_62_c2pnb304w1, &_EC_X9_62_CHAR2_304W1},
1060         { NID_X9_62_c2tnb359v1, &_EC_X9_62_CHAR2_359V1},
1061         { NID_X9_62_c2pnb368w1, &_EC_X9_62_CHAR2_368W1},
1062         { NID_X9_62_c2tnb431r1, &_EC_X9_62_CHAR2_431R1},
1063         /* the WAP/WTLS curves */
1064         { NID_wap_wsg_idm_ecid_wtls1, &_EC_WTLS_1},
1065         { NID_wap_wsg_idm_ecid_wtls3, &_EC_SECG_CHAR2_163K1},
1066         { NID_wap_wsg_idm_ecid_wtls4, &_EC_SECG_CHAR2_113R1},
1067         { NID_wap_wsg_idm_ecid_wtls5, &_EC_X9_62_CHAR2_163V1},
1068         { NID_wap_wsg_idm_ecid_wtls6, &_EC_SECG_PRIME_112R1},
1069         { NID_wap_wsg_idm_ecid_wtls7, &_EC_SECG_PRIME_160R2},
1070         { NID_wap_wsg_idm_ecid_wtls8, &_EC_WTLS_8},
1071         { NID_wap_wsg_idm_ecid_wtls9, &_EC_WTLS_9 },
1072         { NID_wap_wsg_idm_ecid_wtls10, &_EC_SECG_CHAR2_233K1},
1073         { NID_wap_wsg_idm_ecid_wtls11, &_EC_SECG_CHAR2_233R1},
1074         { NID_wap_wsg_idm_ecid_wtls12, &_EC_WTLS_12},
1075 };
1076
1077 static size_t curve_list_length = sizeof(curve_list)/sizeof(ec_list_element);
1078
1079 static EC_GROUP *ec_group_new_from_data(const EC_CURVE_DATA *data)
1080         {
1081         EC_GROUP *group=NULL;
1082         EC_POINT *P=NULL;
1083         BN_CTX   *ctx=NULL;
1084         BIGNUM   *p=NULL, *a=NULL, *b=NULL, *x=NULL, *y=NULL, *order=NULL;
1085         int      ok=0;
1086
1087         if ((ctx = BN_CTX_new()) == NULL)
1088                 {
1089                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE);
1090                 goto err;
1091                 }
1092         if ((p = BN_new()) == NULL || (a = BN_new()) == NULL || 
1093                 (b = BN_new()) == NULL || (x = BN_new()) == NULL ||
1094                 (y = BN_new()) == NULL || (order = BN_new()) == NULL)
1095                 {
1096                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE);
1097                 goto err;
1098                 }
1099         
1100         if (!BN_hex2bn(&p, data->p) || !BN_hex2bn(&a, data->a)
1101                 || !BN_hex2bn(&b, data->b))
1102                 {
1103                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
1104                 goto err;
1105                 }
1106
1107         if (data->field_type == NID_X9_62_prime_field)
1108                 {
1109                 if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL)
1110                         {
1111                         ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1112                         goto err;
1113                         }
1114                 }
1115                 else
1116                 { /* field_type == NID_X9_62_characteristic_two_field */
1117                 if ((group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) == NULL)
1118                         {
1119                         ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1120                         goto err;
1121                         }
1122                 }
1123
1124         if ((P = EC_POINT_new(group)) == NULL)
1125                 {
1126                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1127                 goto err;
1128                 }
1129         
1130         if (!BN_hex2bn(&x, data->x) || !BN_hex2bn(&y, data->y))
1131                 {
1132                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
1133                 goto err;
1134                 }
1135         if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx))
1136                 {
1137                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1138                 goto err;
1139                 }
1140         if (!BN_hex2bn(&order, data->order) || !BN_set_word(x, data->cofactor))
1141                 {
1142                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
1143                 goto err;
1144                 }
1145         if (!EC_GROUP_set_generator(group, P, order, x))
1146                 {
1147                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1148                 goto err;
1149                 }
1150         if (data->seed)
1151                 {
1152                 if (!EC_GROUP_set_seed(group, data->seed, data->seed_len))
1153                         {
1154                         ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1155                         goto err;
1156                         }
1157                 }
1158         ok=1;
1159 err:
1160         if (!ok)
1161                 {
1162                 EC_GROUP_free(group);
1163                 group = NULL;
1164                 }
1165         if (P)
1166                 EC_POINT_free(P);
1167         if (ctx)
1168                 BN_CTX_free(ctx);
1169         if (p)
1170                 BN_free(p);
1171         if (a)
1172                 BN_free(a);
1173         if (b)
1174                 BN_free(b);
1175         if (order)
1176                 BN_free(order);
1177         if (x)
1178                 BN_free(x);
1179         if (y)
1180                 BN_free(y);
1181         return group;
1182         }
1183
1184 EC_GROUP *EC_GROUP_new_by_nid(int nid)
1185         {
1186         size_t i;
1187         EC_GROUP *ret = NULL;
1188
1189         if (nid <= 0)
1190                 return NULL;
1191
1192         for (i=0; i<curve_list_length; i++)
1193                 if (curve_list[i].nid == nid)
1194                         {
1195                         ret = ec_group_new_from_data(curve_list[i].data);
1196                         break;
1197                         }
1198
1199         if (ret == NULL)
1200                 {
1201                 ECerr(EC_F_EC_GROUP_NEW_BY_NID, EC_R_UNKNOWN_GROUP);
1202                 return NULL;
1203                 }
1204
1205         EC_GROUP_set_nid(ret, nid);
1206
1207         return ret;
1208         }
1209
1210 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems)
1211         {
1212         size_t  i, min;
1213
1214         if (r == NULL || nitems == 0)
1215                 return curve_list_length;
1216
1217         min = nitems < curve_list_length ? nitems : curve_list_length;
1218
1219         for (i = 0; i < min; i++)
1220                 {
1221                 r[i].nid = curve_list[i].nid;
1222                 r[i].comment = curve_list[i].data->comment;
1223                 }
1224
1225         return curve_list_length;
1226         }