979f86530eac322668d75763b7e4d17e7cd6fa5d
[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) 1998-2004 The OpenSSL Project.  All rights reserved.
7  *
8  * Redistribution and use in source and binary forms, with or without
9  * modification, are permitted provided that the following conditions
10  * are met:
11  *
12  * 1. Redistributions of source code must retain the above copyright
13  *    notice, this list of conditions and the following disclaimer. 
14  *
15  * 2. Redistributions in binary form must reproduce the above copyright
16  *    notice, this list of conditions and the following disclaimer in
17  *    the documentation and/or other materials provided with the
18  *    distribution.
19  *
20  * 3. All advertising materials mentioning features or use of this
21  *    software must display the following acknowledgment:
22  *    "This product includes software developed by the OpenSSL Project
23  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
24  *
25  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
26  *    endorse or promote products derived from this software without
27  *    prior written permission. For written permission, please contact
28  *    openssl-core@openssl.org.
29  *
30  * 5. Products derived from this software may not be called "OpenSSL"
31  *    nor may "OpenSSL" appear in their names without prior written
32  *    permission of the OpenSSL Project.
33  *
34  * 6. Redistributions of any form whatsoever must retain the following
35  *    acknowledgment:
36  *    "This product includes software developed by the OpenSSL Project
37  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
38  *
39  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
40  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
41  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
42  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
43  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
44  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
45  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
46  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
48  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
49  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
50  * OF THE POSSIBILITY OF SUCH DAMAGE.
51  * ====================================================================
52  *
53  * This product includes cryptographic software written by Eric Young
54  * (eay@cryptsoft.com).  This product includes software written by Tim
55  * Hudson (tjh@cryptsoft.com).
56  *
57  */
58 /* ====================================================================
59  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
60  *
61  * Portions of the attached software ("Contribution") are developed by 
62  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
63  *
64  * The Contribution is licensed pursuant to the OpenSSL open source
65  * license provided above.
66  *
67  * The elliptic curve binary polynomial software is originally written by 
68  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
69  *
70  */
71
72 #include "ec_lcl.h"
73 #include <openssl/err.h>
74 #include <openssl/obj_mac.h>
75
76 typedef struct ec_curve_data_st {
77         int     field_type;     /* either NID_X9_62_prime_field or
78                                  * NID_X9_62_characteristic_two_field */
79         const char *p;          /* either a prime number or a polynomial */
80         const char *a;
81         const char *b;
82         const char *x;          /* the x coordinate of the generator */
83         const char *y;          /* the y coordinate of the generator */
84         const char *order;      /* the order of the group generated by the
85                                  * generator */
86         const BN_ULONG cofactor;/* the cofactor */
87         const unsigned char *seed;/* the seed (optional) */
88         size_t  seed_len;
89         const char *comment;    /* a short description of the curve */
90 } EC_CURVE_DATA;
91
92 /* the nist prime curves */
93 static const unsigned char _EC_NIST_PRIME_192_SEED[] = {
94         0x30,0x45,0xAE,0x6F,0xC8,0x42,0x2F,0x64,0xED,0x57,
95         0x95,0x28,0xD3,0x81,0x20,0xEA,0xE1,0x21,0x96,0xD5};
96 static const EC_CURVE_DATA _EC_NIST_PRIME_192 = {
97         NID_X9_62_prime_field,
98         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
99         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
100         "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
101         "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012",
102         "07192b95ffc8da78631011ed6b24cdd573f977a11e794811",
103         "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",1,
104         _EC_NIST_PRIME_192_SEED, 20,
105         "NIST/X9.62/SECG curve over a 192 bit prime field"
106         };
107
108 static const unsigned char _EC_NIST_PRIME_224_SEED[] = {
109         0xBD,0x71,0x34,0x47,0x99,0xD5,0xC7,0xFC,0xDC,0x45,
110         0xB5,0x9F,0xA3,0xB9,0xAB,0x8F,0x6A,0x94,0x8B,0xC5};
111 static const EC_CURVE_DATA _EC_NIST_PRIME_224 = {
112         NID_X9_62_prime_field,
113         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
114         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
115         "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
116         "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
117         "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
118         "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",1,
119         _EC_NIST_PRIME_224_SEED, 20,
120         "NIST/SECG curve over a 224 bit prime field"
121         };
122
123 static const unsigned char _EC_NIST_PRIME_384_SEED[] = {
124         0xA3,0x35,0x92,0x6A,0xA3,0x19,0xA2,0x7A,0x1D,0x00,
125         0x89,0x6A,0x67,0x73,0xA4,0x82,0x7A,0xCD,0xAC,0x73};
126 static const EC_CURVE_DATA _EC_NIST_PRIME_384 = {
127         NID_X9_62_prime_field,
128         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF"
129         "FFF0000000000000000FFFFFFFF",
130         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF"
131         "FFF0000000000000000FFFFFFFC",
132         "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC6563"
133         "98D8A2ED19D2A85C8EDD3EC2AEF",
134         "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F"
135         "25DBF55296C3A545E3872760AB7",
136         "3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b"
137         "1ce1d7e819d7a431d7c90ea0e5f",
138         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0"
139         "DB248B0A77AECEC196ACCC52973",1,
140         _EC_NIST_PRIME_384_SEED, 20,
141         "NIST/SECG curve over a 384 bit prime field"
142         };
143
144 static const unsigned char _EC_NIST_PRIME_521_SEED[] = {
145         0xD0,0x9E,0x88,0x00,0x29,0x1C,0xB8,0x53,0x96,0xCC,
146         0x67,0x17,0x39,0x32,0x84,0xAA,0xA0,0xDA,0x64,0xBA};
147 static const EC_CURVE_DATA _EC_NIST_PRIME_521 = {
148         NID_X9_62_prime_field,
149         "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
150         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
151         "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
152         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
153         "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156"
154         "193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
155         "C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14"
156         "B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66",
157         "011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c9"
158         "7ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
159         "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51"
160         "868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",1,
161         _EC_NIST_PRIME_521_SEED, 20,
162         "NIST/SECG curve over a 521 bit prime field"
163         };
164 /* the x9.62 prime curves (minus the nist prime curves) */
165 static const unsigned char _EC_X9_62_PRIME_192V2_SEED[] = {
166         0x31,0xA9,0x2E,0xE2,0x02,0x9F,0xD1,0x0D,0x90,0x1B,
167         0x11,0x3E,0x99,0x07,0x10,0xF0,0xD2,0x1A,0xC6,0xB6};
168 static const EC_CURVE_DATA _EC_X9_62_PRIME_192V2 = {
169         NID_X9_62_prime_field,
170         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
171         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
172         "CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953",
173         "EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A",
174         "6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15",
175         "FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31",1,
176         _EC_X9_62_PRIME_192V2_SEED, 20,
177         "X9.62 curve over a 192 bit prime field"
178         };
179
180 static const unsigned char _EC_X9_62_PRIME_192V3_SEED[] = {
181         0xC4,0x69,0x68,0x44,0x35,0xDE,0xB3,0x78,0xC4,0xB6,
182         0x5C,0xA9,0x59,0x1E,0x2A,0x57,0x63,0x05,0x9A,0x2E};
183 static const EC_CURVE_DATA _EC_X9_62_PRIME_192V3 = {
184         NID_X9_62_prime_field,
185         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
186         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
187         "22123DC2395A05CAA7423DAECCC94760A7D462256BD56916",
188         "7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896",
189         "38a90f22637337334b49dcb66a6dc8f9978aca7648a943b0",
190         "FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13",1,
191         _EC_X9_62_PRIME_192V3_SEED, 20,
192         "X9.62 curve over a 192 bit prime field"
193         };
194
195 static const unsigned char _EC_X9_62_PRIME_239V1_SEED[] = {
196         0xE4,0x3B,0xB4,0x60,0xF0,0xB8,0x0C,0xC0,0xC0,0xB0,
197         0x75,0x79,0x8E,0x94,0x80,0x60,0xF8,0x32,0x1B,0x7D};
198 static const EC_CURVE_DATA _EC_X9_62_PRIME_239V1 = {
199         NID_X9_62_prime_field,
200         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
201         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
202         "6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A",
203         "0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF",
204         "7debe8e4e90a5dae6e4054ca530ba04654b36818ce226b39fccb7b02f1ae",
205         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B",1,
206         _EC_X9_62_PRIME_239V1_SEED, 20,
207         "X9.62 curve over a 239 bit prime field"
208         };
209
210 static const unsigned char _EC_X9_62_PRIME_239V2_SEED[] = {
211         0xE8,0xB4,0x01,0x16,0x04,0x09,0x53,0x03,0xCA,0x3B,
212         0x80,0x99,0x98,0x2B,0xE0,0x9F,0xCB,0x9A,0xE6,0x16};
213 static const EC_CURVE_DATA _EC_X9_62_PRIME_239V2 = {
214         NID_X9_62_prime_field,
215         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
216         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
217         "617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C",
218         "38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7",
219         "5b0125e4dbea0ec7206da0fc01d9b081329fb555de6ef460237dff8be4ba",
220         "7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063",1,
221         _EC_X9_62_PRIME_239V2_SEED, 20,
222         "X9.62 curve over a 239 bit prime field"
223         };
224
225 static const unsigned char _EC_X9_62_PRIME_239V3_SEED[] = {
226         0x7D,0x73,0x74,0x16,0x8F,0xFE,0x34,0x71,0xB6,0x0A,
227         0x85,0x76,0x86,0xA1,0x94,0x75,0xD3,0xBF,0xA2,0xFF};
228 static const EC_CURVE_DATA _EC_X9_62_PRIME_239V3 = {
229         NID_X9_62_prime_field,
230         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
231         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
232         "255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E",
233         "6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A",
234         "1607e6898f390c06bc1d552bad226f3b6fcfe48b6e818499af18e3ed6cf3",
235         "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551",1,
236         _EC_X9_62_PRIME_239V3_SEED, 20,
237         "X9.62 curve over a 239 bit prime field"
238         };
239
240 static const unsigned char _EC_X9_62_PRIME_256V1_SEED[] = {
241         0xC4,0x9D,0x36,0x08,0x86,0xE7,0x04,0x93,0x6A,0x66,
242         0x78,0xE1,0x13,0x9D,0x26,0xB7,0x81,0x9F,0x7E,0x90};
243 static const EC_CURVE_DATA _EC_X9_62_PRIME_256V1 = {
244         NID_X9_62_prime_field,
245         "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
246         "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
247         "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
248         "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",
249         "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
250         "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",1,
251         _EC_X9_62_PRIME_256V1_SEED, 20,
252         "X9.62/SECG curve over a 256 bit prime field"
253         };
254 /* the secg prime curves (minus the nist and x9.62 prime curves) */
255 static const unsigned char _EC_SECG_PRIME_112R1_SEED[] = {
256         0x00,0xF5,0x0B,0x02,0x8E,0x4D,0x69,0x6E,0x67,0x68,
257         0x75,0x61,0x51,0x75,0x29,0x04,0x72,0x78,0x3F,0xB1};
258 static const EC_CURVE_DATA _EC_SECG_PRIME_112R1 = {
259         NID_X9_62_prime_field,
260         "DB7C2ABF62E35E668076BEAD208B",
261         "DB7C2ABF62E35E668076BEAD2088",
262         "659EF8BA043916EEDE8911702B22",
263         "09487239995A5EE76B55F9C2F098",
264         "a89ce5af8724c0a23e0e0ff77500",
265         "DB7C2ABF62E35E7628DFAC6561C5",1,
266         _EC_SECG_PRIME_112R1_SEED, 20,
267         "SECG/WTLS curve over a 112 bit prime field"
268         };
269
270 static const unsigned char _EC_SECG_PRIME_112R2_SEED[] = {
271         0x00,0x27,0x57,0xA1,0x11,0x4D,0x69,0x6E,0x67,0x68,
272         0x75,0x61,0x51,0x75,0x53,0x16,0xC0,0x5E,0x0B,0xD4};
273 static const EC_CURVE_DATA _EC_SECG_PRIME_112R2 = {
274         NID_X9_62_prime_field,
275         "DB7C2ABF62E35E668076BEAD208B",
276         "6127C24C05F38A0AAAF65C0EF02C",
277         "51DEF1815DB5ED74FCC34C85D709",
278         "4BA30AB5E892B4E1649DD0928643",
279         "adcd46f5882e3747def36e956e97",
280         "36DF0AAFD8B8D7597CA10520D04B",4, 
281         _EC_SECG_PRIME_112R2_SEED, 20,
282         "SECG curve over a 112 bit prime field"
283         };
284
285 static const unsigned char _EC_SECG_PRIME_128R1_SEED[] = {
286         0x00,0x0E,0x0D,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,
287         0x51,0x75,0x0C,0xC0,0x3A,0x44,0x73,0xD0,0x36,0x79};
288 static const EC_CURVE_DATA _EC_SECG_PRIME_128R1 = {
289         NID_X9_62_prime_field,
290         "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
291         "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
292         "E87579C11079F43DD824993C2CEE5ED3",
293         "161FF7528B899B2D0C28607CA52C5B86",
294         "cf5ac8395bafeb13c02da292dded7a83",
295         "FFFFFFFE0000000075A30D1B9038A115",1,
296         _EC_SECG_PRIME_128R1_SEED, 20,
297         "SECG curve over a 128 bit prime field"
298         };
299
300 static const unsigned char _EC_SECG_PRIME_128R2_SEED[] = {
301         0x00,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75,
302         0x12,0xD8,0xF0,0x34,0x31,0xFC,0xE6,0x3B,0x88,0xF4};
303 static const EC_CURVE_DATA _EC_SECG_PRIME_128R2 = {
304         NID_X9_62_prime_field,
305         "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
306         "D6031998D1B3BBFEBF59CC9BBFF9AEE1",
307         "5EEEFCA380D02919DC2C6558BB6D8A5D",
308         "7B6AA5D85E572983E6FB32A7CDEBC140",
309         "27b6916a894d3aee7106fe805fc34b44",
310         "3FFFFFFF7FFFFFFFBE0024720613B5A3",4,
311         _EC_SECG_PRIME_128R2_SEED, 20,
312         "SECG curve over a 128 bit prime field"
313         };
314
315 static const EC_CURVE_DATA _EC_SECG_PRIME_160K1 = {
316         NID_X9_62_prime_field,
317         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
318         "0",
319         "7",
320         "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB",
321         "938cf935318fdced6bc28286531733c3f03c4fee",
322         "0100000000000000000001B8FA16DFAB9ACA16B6B3",1,
323         NULL, 0,
324         "SECG curve over a 160 bit prime field"
325         };
326
327 static const unsigned char _EC_SECG_PRIME_160R1_SEED[] = {
328         0x10,0x53,0xCD,0xE4,0x2C,0x14,0xD6,0x96,0xE6,0x76,
329         0x87,0x56,0x15,0x17,0x53,0x3B,0xF3,0xF8,0x33,0x45};
330 static const EC_CURVE_DATA _EC_SECG_PRIME_160R1 = {
331         NID_X9_62_prime_field,
332         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
333         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
334         "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
335         "4A96B5688EF573284664698968C38BB913CBFC82",
336         "23a628553168947d59dcc912042351377ac5fb32",
337         "0100000000000000000001F4C8F927AED3CA752257",1,
338         _EC_SECG_PRIME_160R1_SEED, 20,
339         "SECG curve over a 160 bit prime field"
340         };
341
342 static const unsigned char _EC_SECG_PRIME_160R2_SEED[] = {
343         0xB9,0x9B,0x99,0xB0,0x99,0xB3,0x23,0xE0,0x27,0x09,
344         0xA4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x51};
345 static const EC_CURVE_DATA _EC_SECG_PRIME_160R2 = {
346         NID_X9_62_prime_field,
347         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
348         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
349         "B4E134D3FB59EB8BAB57274904664D5AF50388BA",
350         "52DCB034293A117E1F4FF11B30F7199D3144CE6D",
351         "feaffef2e331f296e071fa0df9982cfea7d43f2e",
352         "0100000000000000000000351EE786A818F3A1A16B",1,
353         _EC_SECG_PRIME_160R2_SEED, 20,
354         "SECG/WTLS curve over a 160 bit prime field"
355         };
356
357 static const EC_CURVE_DATA _EC_SECG_PRIME_192K1 = {
358         NID_X9_62_prime_field,
359         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
360         "0",
361         "3",
362         "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D",
363         "9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d",
364         "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",1,
365         NULL, 20,
366         "SECG curve over a 192 bit prime field"
367         };
368
369 static const EC_CURVE_DATA _EC_SECG_PRIME_224K1 = {
370         NID_X9_62_prime_field,
371         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
372         "0",
373         "5",
374         "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C",
375         "7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5",
376         "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",1,
377         NULL, 20,
378         "SECG curve over a 224 bit prime field"
379         };
380
381 static const EC_CURVE_DATA _EC_SECG_PRIME_256K1 = {
382         NID_X9_62_prime_field,
383         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
384         "0",
385         "7",
386         "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798",
387         "483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",
388         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",1,
389         NULL, 20,
390         "SECG curve over a 256 bit prime field"
391         };
392
393 /* some wap/wtls curves */
394 static const EC_CURVE_DATA _EC_WTLS_8 = {
395         NID_X9_62_prime_field,
396         "FFFFFFFFFFFFFFFFFFFFFFFFFDE7",
397         "0",
398         "3",
399         "1",
400         "2",
401         "0100000000000001ECEA551AD837E9",1,
402         NULL, 20,
403         "WTLS curve over a 112 bit prime field"
404         };
405
406 static const EC_CURVE_DATA _EC_WTLS_9 = {
407         NID_X9_62_prime_field,
408         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC808F",
409         "0",
410         "3",
411         "1",
412         "2",
413         "0100000000000000000001CDC98AE0E2DE574ABF33",1,
414         NULL, 20,
415         "WTLS curve over a 160 bit prime field"
416         };
417
418 static const EC_CURVE_DATA _EC_WTLS_12 = {
419         NID_X9_62_prime_field,
420         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
421         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
422         "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
423         "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
424         "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
425         "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1,
426         NULL, 0,
427         "WTLS curvs over a 224 bit prime field"
428         };
429
430 /* characteristic two curves */
431 static const unsigned char _EC_SECG_CHAR2_113R1_SEED[] = {
432         0x10,0xE7,0x23,0xAB,0x14,0xD6,0x96,0xE6,0x76,0x87,
433         0x56,0x15,0x17,0x56,0xFE,0xBF,0x8F,0xCB,0x49,0xA9};
434 static const EC_CURVE_DATA _EC_SECG_CHAR2_113R1 = {
435         NID_X9_62_characteristic_two_field,
436         "020000000000000000000000000201",
437         "003088250CA6E7C7FE649CE85820F7",
438         "00E8BEE4D3E2260744188BE0E9C723",
439         "009D73616F35F4AB1407D73562C10F",
440         "00A52830277958EE84D1315ED31886",
441         "0100000000000000D9CCEC8A39E56F", 2,
442         _EC_SECG_CHAR2_113R1_SEED, 20,
443         "SECG curve over a 113 bit binary field"
444         };
445
446 static const unsigned char _EC_SECG_CHAR2_113R2_SEED[] = {
447         0x10,0xC0,0xFB,0x15,0x76,0x08,0x60,0xDE,0xF1,0xEE,
448         0xF4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x5D};
449 static const EC_CURVE_DATA _EC_SECG_CHAR2_113R2 = {
450         NID_X9_62_characteristic_two_field,
451         "020000000000000000000000000201",
452         "00689918DBEC7E5A0DD6DFC0AA55C7",
453         "0095E9A9EC9B297BD4BF36E059184F",
454         "01A57A6A7B26CA5EF52FCDB8164797",
455         "00B3ADC94ED1FE674C06E695BABA1D",
456         "010000000000000108789B2496AF93", 2,
457         _EC_SECG_CHAR2_113R2_SEED, 20,
458         "SECG curve over a 113 bit binary field"
459         };
460
461 static const unsigned char _EC_SECG_CHAR2_131R1_SEED[] = {
462         0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75,0x98,
463         0x5B,0xD3,0xAD,0xBA,0xDA,0x21,0xB4,0x3A,0x97,0xE2};
464 static const EC_CURVE_DATA _EC_SECG_CHAR2_131R1 = {
465         NID_X9_62_characteristic_two_field,
466         "080000000000000000000000000000010D",
467         "07A11B09A76B562144418FF3FF8C2570B8",
468         "0217C05610884B63B9C6C7291678F9D341",
469         "0081BAF91FDF9833C40F9C181343638399",
470         "078C6E7EA38C001F73C8134B1B4EF9E150",
471         "0400000000000000023123953A9464B54D", 2,
472         _EC_SECG_CHAR2_131R1_SEED, 20,
473         "SECG/WTLS curve over a 131 bit binary field"
474         };
475
476 static const unsigned char _EC_SECG_CHAR2_131R2_SEED[] = {
477         0x98,0x5B,0xD3,0xAD,0xBA,0xD4,0xD6,0x96,0xE6,0x76,
478         0x87,0x56,0x15,0x17,0x5A,0x21,0xB4,0x3A,0x97,0xE3};
479 static const EC_CURVE_DATA _EC_SECG_CHAR2_131R2 = {
480         NID_X9_62_characteristic_two_field,
481         "080000000000000000000000000000010D",
482         "03E5A88919D7CAFCBF415F07C2176573B2",
483         "04B8266A46C55657AC734CE38F018F2192",
484         "0356DCD8F2F95031AD652D23951BB366A8",
485         "0648F06D867940A5366D9E265DE9EB240F",
486         "0400000000000000016954A233049BA98F", 2,
487         _EC_SECG_CHAR2_131R2_SEED, 20,
488         "SECG curve over a 131 bit binary field"
489         };
490
491 static const EC_CURVE_DATA _EC_NIST_CHAR2_163K = {
492         NID_X9_62_characteristic_two_field,
493         "0800000000000000000000000000000000000000C9",
494         "1",
495         "1",
496         "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
497         "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
498         "04000000000000000000020108A2E0CC0D99F8A5EF", 2,
499         NULL, 0,
500         "NIST/SECG/WTLS curve over a 163 bit binary field"
501         };
502
503 static const unsigned char _EC_SECG_CHAR2_163R1_SEED[] = {
504         0x24,0xB7,0xB1,0x37,0xC8,0xA1,0x4D,0x69,0x6E,0x67,
505         0x68,0x75,0x61,0x51,0x75,0x6F,0xD0,0xDA,0x2E,0x5C};
506 static const EC_CURVE_DATA _EC_SECG_CHAR2_163R1 = {
507         NID_X9_62_characteristic_two_field,
508         "0800000000000000000000000000000000000000C9",
509         "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
510         "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
511         "0369979697AB43897789566789567F787A7876A654",
512         "00435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
513         "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B", 2,
514 /* The algorithm used to derive the curve parameters from
515  * the seed used here is slightly different than the
516  * algorithm described in X9.62 .
517  */
518 #if 0
519         _EC_SECG_CHAR2_163R1_SEED, 20,
520 #else
521         NULL, 0,
522 #endif
523         "SECG curve over a 163 bit binary field"
524         };
525
526 static const unsigned char _EC_NIST_CHAR2_163B_SEED[] = {
527         0x85,0xE2,0x5B,0xFE,0x5C,0x86,0x22,0x6C,0xDB,0x12,
528         0x01,0x6F,0x75,0x53,0xF9,0xD0,0xE6,0x93,0xA2,0x68};
529 static const EC_CURVE_DATA _EC_NIST_CHAR2_163B ={
530         NID_X9_62_characteristic_two_field,
531         "0800000000000000000000000000000000000000C9",
532         "1",
533         "020A601907B8C953CA1481EB10512F78744A3205FD",
534         "03F0EBA16286A2D57EA0991168D4994637E8343E36",
535         "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
536         "040000000000000000000292FE77E70C12A4234C33", 2,
537 /* The seed here was used to created the curve parameters in normal
538  * basis representation (and not the polynomial representation used here) 
539  */
540 #if 0
541         _EC_NIST_CHAR2_163B_SEED, 20,
542 #else
543         NULL, 0,
544 #endif
545         "NIST/SECG curve over a 163 bit binary field"
546         };
547
548 static const unsigned char _EC_SECG_CHAR2_193R1_SEED[] = {
549         0x10,0x3F,0xAE,0xC7,0x4D,0x69,0x6E,0x67,0x68,0x75,
550         0x61,0x51,0x75,0x77,0x7F,0xC5,0xB1,0x91,0xEF,0x30};
551 static const EC_CURVE_DATA _EC_SECG_CHAR2_193R1 = {
552         NID_X9_62_characteristic_two_field,
553         "02000000000000000000000000000000000000000000008001",
554         "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
555         "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
556         "01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1",
557         "0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
558         "01000000000000000000000000C7F34A778F443ACC920EBA49", 2,
559         _EC_SECG_CHAR2_193R1_SEED, 20,
560         "SECG curve over a 193 bit binary field"
561         };
562
563 static const unsigned char _EC_SECG_CHAR2_193R2_SEED[] = {
564         0x10,0xB7,0xB4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,
565         0x17,0x51,0x37,0xC8,0xA1,0x6F,0xD0,0xDA,0x22,0x11};
566 static const EC_CURVE_DATA _EC_SECG_CHAR2_193R2 = {
567         NID_X9_62_characteristic_two_field,
568         "02000000000000000000000000000000000000000000008001",
569         "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
570         "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
571         "00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F",
572         "01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
573         "010000000000000000000000015AAB561B005413CCD4EE99D5", 2,
574         _EC_SECG_CHAR2_193R2_SEED, 20,
575         "SECG curve over a 193 bit binary field"
576         };
577
578 static const EC_CURVE_DATA _EC_NIST_CHAR2_233K = {
579         NID_X9_62_characteristic_two_field,
580         "020000000000000000000000000000000000000004000000000000000001",
581         "0",
582         "1",
583         "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
584         "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
585         "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4,
586         NULL, 0,
587         "NIST/SECG/WTLS curve over a 233 bit binary field"
588         };
589
590 static const unsigned char _EC_NIST_CHAR2_233B_SEED[] = {
591         0x74,0xD5,0x9F,0xF0,0x7F,0x6B,0x41,0x3D,0x0E,0xA1,
592         0x4B,0x34,0x4B,0x20,0xA2,0xDB,0x04,0x9B,0x50,0xC3};
593 static const EC_CURVE_DATA _EC_NIST_CHAR2_233B = {
594         NID_X9_62_characteristic_two_field,
595         "020000000000000000000000000000000000000004000000000000000001",
596         "000000000000000000000000000000000000000000000000000000000001",
597         "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
598         "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
599         "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
600         "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2,
601         _EC_NIST_CHAR2_233B_SEED, 20,
602         "NIST/SECG/WTLS curve over a 233 bit binary field"
603         };
604
605 static const EC_CURVE_DATA _EC_SECG_CHAR2_239K1 = {
606         NID_X9_62_characteristic_two_field,
607         "800000000000000000004000000000000000000000000000000000000001",
608         "0",
609         "1",
610         "29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC",
611         "76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
612         "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5", 4,
613         NULL, 0,
614         "SECG curve over a 239 bit binary field"
615         };
616
617 static const EC_CURVE_DATA _EC_NIST_CHAR2_283K = {
618         NID_X9_62_characteristic_two_field,
619         "080000000000000000000000000000000000000000000000000000000000000000001"
620         "0A1",
621         "0",
622         "1",
623         "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492"
624         "836",
625         "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2"
626         "259",
627         "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163"
628         "C61", 4,
629         NULL, 20,
630         "NIST/SECG curve over a 283 bit binary field"
631         };
632
633 static const unsigned char _EC_NIST_CHAR2_283B_SEED[] = {
634         0x77,0xE2,0xB0,0x73,0x70,0xEB,0x0F,0x83,0x2A,0x6D,
635         0xD5,0xB6,0x2D,0xFC,0x88,0xCD,0x06,0xBB,0x84,0xBE};
636 static const EC_CURVE_DATA _EC_NIST_CHAR2_283B = {
637         NID_X9_62_characteristic_two_field,
638         "080000000000000000000000000000000000000000000000000000000000000000001"
639         "0A1",
640         "000000000000000000000000000000000000000000000000000000000000000000000"
641         "001",
642         "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A"
643         "2F5",
644         "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12"
645         "053",
646         "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE811"
647         "2F4",
648         "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB"
649         "307", 2,
650         _EC_NIST_CHAR2_283B_SEED, 20,
651         "NIST/SECG curve over a 283 bit binary field"
652         };
653
654 static const EC_CURVE_DATA _EC_NIST_CHAR2_409K = {
655         NID_X9_62_characteristic_two_field,
656         "020000000000000000000000000000000000000000000000000000000000000000000"
657         "00000000000008000000000000000000001",
658         "0",
659         "1",
660         "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C4601"
661         "89EB5AAAA62EE222EB1B35540CFE9023746",
662         "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6"
663         "C42E9C55215AA9CA27A5863EC48D8E0286B",
664         "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400"
665         "EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 4,
666         NULL, 0,
667         "NIST/SECG curve over a 409 bit binary field"
668         };
669
670 static const unsigned char _EC_NIST_CHAR2_409B_SEED[] = {
671         0x40,0x99,0xB5,0xA4,0x57,0xF9,0xD6,0x9F,0x79,0x21,
672         0x3D,0x09,0x4C,0x4B,0xCD,0x4D,0x42,0x62,0x21,0x0B};
673 static const EC_CURVE_DATA _EC_NIST_CHAR2_409B = {
674         NID_X9_62_characteristic_two_field,
675         "020000000000000000000000000000000000000000000000000000000000000000000"
676         "00000000000008000000000000000000001",
677         "000000000000000000000000000000000000000000000000000000000000000000000"
678         "00000000000000000000000000000000001",
679         "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A19"
680         "7B272822F6CD57A55AA4F50AE317B13545F",
681         "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255"
682         "A868A1180515603AEAB60794E54BB7996A7",
683         "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514"
684         "F1FDF4B4F40D2181B3681C364BA0273C706",
685         "010000000000000000000000000000000000000000000000000001E2AAD6A612F3330"
686         "7BE5FA47C3C9E052F838164CD37D9A21173", 2,
687         _EC_NIST_CHAR2_409B_SEED, 20,
688         "NIST/SECG curve over a 409 bit binary field"
689         };
690
691 static const EC_CURVE_DATA _EC_NIST_CHAR2_571K = {
692         NID_X9_62_characteristic_two_field,
693         "800000000000000000000000000000000000000000000000000000000000000000000"
694         "000000000000000000000000000000000000000000000000000000000000000000000"
695         "00425",
696         "0",
697         "1",
698         "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA443709"
699         "58493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A0"
700         "1C8972",
701         "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D497"
702         "9C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143E"
703         "F1C7A3",
704         "020000000000000000000000000000000000000000000000000000000000000000000"
705         "000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F63"
706         "7C1001", 4,
707         NULL, 0,
708         "NIST/SECG curve over a 571 bit binary field"
709         };
710
711 static const unsigned char _EC_NIST_CHAR2_571B_SEED[] = {
712         0x2A,0xA0,0x58,0xF7,0x3A,0x0E,0x33,0xAB,0x48,0x6B,
713         0x0F,0x61,0x04,0x10,0xC5,0x3A,0x7F,0x13,0x23,0x10};
714 static const EC_CURVE_DATA _EC_NIST_CHAR2_571B = {
715         NID_X9_62_characteristic_two_field,
716         "800000000000000000000000000000000000000000000000000000000000000000000"
717         "000000000000000000000000000000000000000000000000000000000000000000000"
718         "00425",
719         "000000000000000000000000000000000000000000000000000000000000000000000"
720         "000000000000000000000000000000000000000000000000000000000000000000000"
721         "000001",
722         "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFA"
723         "BBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F29"
724         "55727A",
725         "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53"
726         "950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8E"
727         "EC2D19",
728         "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423"
729         "E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B"
730         "8AC15B",
731         "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
732         "FFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2F"
733         "E84E47", 2,
734         _EC_NIST_CHAR2_571B_SEED, 20,
735         "NIST/SECG curve over a 571 bit binary field"
736         };
737
738 static const unsigned char _EC_X9_62_CHAR2_163V1_SEED[] = {
739         0xD2,0xC0,0xFB,0x15,0x76,0x08,0x60,0xDE,0xF1,0xEE,
740         0xF4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x54};
741 static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V1 = {
742         NID_X9_62_characteristic_two_field,
743         "080000000000000000000000000000000000000107",
744         "072546B5435234A422E0789675F432C89435DE5242",
745         "00C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9",
746         "07AF69989546103D79329FCC3D74880F33BBE803CB",
747         "01EC23211B5966ADEA1D3F87F7EA5848AEF0B7CA9F",
748         "0400000000000000000001E60FC8821CC74DAEAFC1", 2,
749         _EC_X9_62_CHAR2_163V1_SEED, 20,
750         "X9.62 curve over a 163 bit binary field"
751         };
752
753 static const unsigned char _EC_X9_62_CHAR2_163V2_SEED[] = {
754         0x53,0x81,0x4C,0x05,0x0D,0x44,0xD6,0x96,0xE6,0x76,
755         0x87,0x56,0x15,0x17,0x58,0x0C,0xA4,0xE2,0x9F,0xFD};
756 static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V2 = {
757         NID_X9_62_characteristic_two_field,
758         "080000000000000000000000000000000000000107",
759         "0108B39E77C4B108BED981ED0E890E117C511CF072",
760         "0667ACEB38AF4E488C407433FFAE4F1C811638DF20",
761         "0024266E4EB5106D0A964D92C4860E2671DB9B6CC5",
762         "079F684DDF6684C5CD258B3890021B2386DFD19FC5",
763         "03FFFFFFFFFFFFFFFFFFFDF64DE1151ADBB78F10A7", 2,
764         _EC_X9_62_CHAR2_163V2_SEED, 20,
765         "X9.62 curve over a 163 bit binary field"
766         };
767
768 static const unsigned char _EC_X9_62_CHAR2_163V3_SEED[] = {
769         0x50,0xCB,0xF1,0xD9,0x5C,0xA9,0x4D,0x69,0x6E,0x67,
770         0x68,0x75,0x61,0x51,0x75,0xF1,0x6A,0x36,0xA3,0xB8};
771 static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V3 = {
772         NID_X9_62_characteristic_two_field,
773         "080000000000000000000000000000000000000107",
774         "07A526C63D3E25A256A007699F5447E32AE456B50E",
775         "03F7061798EB99E238FD6F1BF95B48FEEB4854252B",
776         "02F9F87B7C574D0BDECF8A22E6524775F98CDEBDCB",
777         "05B935590C155E17EA48EB3FF3718B893DF59A05D0",
778         "03FFFFFFFFFFFFFFFFFFFE1AEE140F110AFF961309", 2,
779         _EC_X9_62_CHAR2_163V3_SEED, 20,
780         "X9.62 curve over a 163 bit binary field"
781         };
782
783 static const EC_CURVE_DATA _EC_X9_62_CHAR2_176V1 = {
784         NID_X9_62_characteristic_two_field,
785         "0100000000000000000000000000000000080000000007",
786         "E4E6DB2995065C407D9D39B8D0967B96704BA8E9C90B",
787         "5DDA470ABE6414DE8EC133AE28E9BBD7FCEC0AE0FFF2",
788         "8D16C2866798B600F9F08BB4A8E860F3298CE04A5798",
789         "6FA4539C2DADDDD6BAB5167D61B436E1D92BB16A562C",
790         "00010092537397ECA4F6145799D62B0A19CE06FE26AD", 0xFF6E,
791         NULL, 0,
792         "X9.62 curve over a 176 bit binary field"
793         };
794
795 static const unsigned char _EC_X9_62_CHAR2_191V1_SEED[] = {
796         0x4E,0x13,0xCA,0x54,0x27,0x44,0xD6,0x96,0xE6,0x76,
797         0x87,0x56,0x15,0x17,0x55,0x2F,0x27,0x9A,0x8C,0x84};
798 static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V1 = {
799         NID_X9_62_characteristic_two_field,
800         "800000000000000000000000000000000000000000000201",
801         "2866537B676752636A68F56554E12640276B649EF7526267",
802         "2E45EF571F00786F67B0081B9495A3D95462F5DE0AA185EC",
803         "36B3DAF8A23206F9C4F299D7B21A9C369137F2C84AE1AA0D",
804         "765BE73433B3F95E332932E70EA245CA2418EA0EF98018FB",
805         "40000000000000000000000004A20E90C39067C893BBB9A5", 2,
806         _EC_X9_62_CHAR2_191V1_SEED, 20,
807         "X9.62 curve over a 191 bit binary field"
808         };
809
810 static const unsigned char _EC_X9_62_CHAR2_191V2_SEED[] = {
811         0x08,0x71,0xEF,0x2F,0xEF,0x24,0xD6,0x96,0xE6,0x76,
812         0x87,0x56,0x15,0x17,0x58,0xBE,0xE0,0xD9,0x5C,0x15};
813 static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V2 = {
814         NID_X9_62_characteristic_two_field,
815         "800000000000000000000000000000000000000000000201",
816         "401028774D7777C7B7666D1366EA432071274F89FF01E718",
817         "0620048D28BCBD03B6249C99182B7C8CD19700C362C46A01",
818         "3809B2B7CC1B28CC5A87926AAD83FD28789E81E2C9E3BF10",
819         "17434386626D14F3DBF01760D9213A3E1CF37AEC437D668A",
820         "20000000000000000000000050508CB89F652824E06B8173", 4,
821         _EC_X9_62_CHAR2_191V2_SEED, 20,
822         "X9.62 curve over a 191 bit binary field"
823         };
824
825 static const unsigned char _EC_X9_62_CHAR2_191V3_SEED[] = {
826         0xE0,0x53,0x51,0x2D,0xC6,0x84,0xD6,0x96,0xE6,0x76,
827         0x87,0x56,0x15,0x17,0x50,0x67,0xAE,0x78,0x6D,0x1F};
828 static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V3 = {
829         NID_X9_62_characteristic_two_field,
830         "800000000000000000000000000000000000000000000201",
831         "6C01074756099122221056911C77D77E77A777E7E7E77FCB",
832         "71FE1AF926CF847989EFEF8DB459F66394D90F32AD3F15E8",
833         "375D4CE24FDE434489DE8746E71786015009E66E38A926DD",
834         "545A39176196575D985999366E6AD34CE0A77CD7127B06BE",
835         "155555555555555555555555610C0B196812BFB6288A3EA3", 6,
836         _EC_X9_62_CHAR2_191V3_SEED, 20,
837         "X9.62 curve over a 191 bit binary field"
838         };
839
840 static const EC_CURVE_DATA _EC_X9_62_CHAR2_208W1 = {
841         NID_X9_62_characteristic_two_field,
842         "010000000000000000000000000000000800000000000000000007",
843         "0000000000000000000000000000000000000000000000000000",
844         "C8619ED45A62E6212E1160349E2BFA844439FAFC2A3FD1638F9E",
845         "89FDFBE4ABE193DF9559ECF07AC0CE78554E2784EB8C1ED1A57A",
846         "0F55B51A06E78E9AC38A035FF520D8B01781BEB1A6BB08617DE3",
847         "000101BAF95C9723C57B6C21DA2EFF2D5ED588BDD5717E212F9D", 0xFE48,
848         NULL, 0,
849         "X9.62 curve over a 208 bit binary field"
850         };
851
852 static const unsigned char _EC_X9_62_CHAR2_239V1_SEED[] = {
853         0xD3,0x4B,0x9A,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,
854         0x51,0x75,0xCA,0x71,0xB9,0x20,0xBF,0xEF,0xB0,0x5D};
855 static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V1 = {
856         NID_X9_62_characteristic_two_field,
857         "800000000000000000000000000000000000000000000000001000000001",
858         "32010857077C5431123A46B808906756F543423E8D27877578125778AC76",
859         "790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16",
860         "57927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D",
861         "61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305",
862         "2000000000000000000000000000000F4D42FFE1492A4993F1CAD666E447", 4,
863         _EC_X9_62_CHAR2_239V1_SEED, 20,
864         "X9.62 curve over a 239 bit binary field"
865         };
866
867 static const unsigned char _EC_X9_62_CHAR2_239V2_SEED[] = {
868         0x2A,0xA6,0x98,0x2F,0xDF,0xA4,0xD6,0x96,0xE6,0x76,
869         0x87,0x56,0x15,0x17,0x5D,0x26,0x67,0x27,0x27,0x7D};
870 static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V2 = {
871         NID_X9_62_characteristic_two_field,
872         "800000000000000000000000000000000000000000000000001000000001",
873         "4230017757A767FAE42398569B746325D45313AF0766266479B75654E65F",
874         "5037EA654196CFF0CD82B2C14A2FCF2E3FF8775285B545722F03EACDB74B",
875         "28F9D04E900069C8DC47A08534FE76D2B900B7D7EF31F5709F200C4CA205",
876         "5667334C45AFF3B5A03BAD9DD75E2C71A99362567D5453F7FA6E227EC833",
877         "1555555555555555555555555555553C6F2885259C31E3FCDF154624522D", 6,
878         _EC_X9_62_CHAR2_239V2_SEED, 20,
879         "X9.62 curve over a 239 bit binary field"
880         };
881
882 static const unsigned char _EC_X9_62_CHAR2_239V3_SEED[] = {
883         0x9E,0x07,0x6F,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,
884         0x51,0x75,0xE1,0x1E,0x9F,0xDD,0x77,0xF9,0x20,0x41};
885 static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V3 = {
886         NID_X9_62_characteristic_two_field,
887         "800000000000000000000000000000000000000000000000001000000001",
888         "01238774666A67766D6676F778E676B66999176666E687666D8766C66A9F",
889         "6A941977BA9F6A435199ACFC51067ED587F519C5ECB541B8E44111DE1D40",
890         "70F6E9D04D289C4E89913CE3530BFDE903977D42B146D539BF1BDE4E9C92",
891         "2E5A0EAF6E5E1305B9004DCE5C0ED7FE59A35608F33837C816D80B79F461",
892         "0CCCCCCCCCCCCCCCCCCCCCCCCCCCCCAC4912D2D9DF903EF9888B8A0E4CFF", 0xA,
893         _EC_X9_62_CHAR2_239V3_SEED, 20,
894         "X9.62 curve over a 239 bit binary field"
895         };
896
897 static const EC_CURVE_DATA _EC_X9_62_CHAR2_272W1 = {
898         NID_X9_62_characteristic_two_field,
899         "010000000000000000000000000000000000000000000000000000010000000000000"
900         "B",
901         "91A091F03B5FBA4AB2CCF49C4EDD220FB028712D42BE752B2C40094DBACDB586FB20",
902         "7167EFC92BB2E3CE7C8AAAFF34E12A9C557003D7C73A6FAF003F99F6CC8482E540F7",
903         "6108BABB2CEEBCF787058A056CBE0CFE622D7723A289E08A07AE13EF0D10D171DD8D",
904         "10C7695716851EEF6BA7F6872E6142FBD241B830FF5EFCACECCAB05E02005DDE9D23",
905         "000100FAF51354E0E39E4892DF6E319C72C8161603FA45AA7B998A167B8F1E629521",
906         0xFF06,
907         NULL, 0,
908         "X9.62 curve over a 272 bit binary field"
909         };
910
911 static const EC_CURVE_DATA _EC_X9_62_CHAR2_304W1 = {
912         NID_X9_62_characteristic_two_field,
913         "010000000000000000000000000000000000000000000000000000000000000000000"
914         "000000807",
915         "FD0D693149A118F651E6DCE6802085377E5F882D1B510B44160074C1288078365A039"
916         "6C8E681",
917         "BDDB97E555A50A908E43B01C798EA5DAA6788F1EA2794EFCF57166B8C14039601E558"
918         "27340BE",
919         "197B07845E9BE2D96ADB0F5F3C7F2CFFBD7A3EB8B6FEC35C7FD67F26DDF6285A644F7"
920         "40A2614",
921         "E19FBEB76E0DA171517ECF401B50289BF014103288527A9B416A105E80260B549FDC1"
922         "B92C03B",
923         "000101D556572AABAC800101D556572AABAC8001022D5C91DD173F8FB561DA6899164"
924         "443051D", 0xFE2E,
925         NULL, 0,
926         "X9.62 curve over a 304 bit binary field"
927         };
928
929 static const unsigned char _EC_X9_62_CHAR2_359V1_SEED[] = {
930         0x2B,0x35,0x49,0x20,0xB7,0x24,0xD6,0x96,0xE6,0x76,
931         0x87,0x56,0x15,0x17,0x58,0x5B,0xA1,0x33,0x2D,0xC6};
932 static const EC_CURVE_DATA _EC_X9_62_CHAR2_359V1 = {
933         NID_X9_62_characteristic_two_field,
934         "800000000000000000000000000000000000000000000000000000000000000000000"
935         "000100000000000000001",
936         "5667676A654B20754F356EA92017D946567C46675556F19556A04616B567D223A5E05"
937         "656FB549016A96656A557",
938         "2472E2D0197C49363F1FE7F5B6DB075D52B6947D135D8CA445805D39BC34562608968"
939         "7742B6329E70680231988",
940         "3C258EF3047767E7EDE0F1FDAA79DAEE3841366A132E163ACED4ED2401DF9C6BDCDE9"
941         "8E8E707C07A2239B1B097",
942         "53D7E08529547048121E9C95F3791DD804963948F34FAE7BF44EA82365DC7868FE57E"
943         "4AE2DE211305A407104BD",
944         "01AF286BCA1AF286BCA1AF286BCA1AF286BCA1AF286BC9FB8F6B85C556892C20A7EB9"
945         "64FE7719E74F490758D3B", 0x4C,
946         _EC_X9_62_CHAR2_359V1_SEED, 20,
947         "X9.62 curve over a 359 bit binary field"
948         };
949
950 static const EC_CURVE_DATA _EC_X9_62_CHAR2_368W1 = {
951         NID_X9_62_characteristic_two_field,
952         "010000000000000000000000000000000000000000000000000000000000000000000"
953         "0002000000000000000000007",
954         "E0D2EE25095206F5E2A4F9ED229F1F256E79A0E2B455970D8D0D865BD94778C576D62"
955         "F0AB7519CCD2A1A906AE30D",
956         "FC1217D4320A90452C760A58EDCD30C8DD069B3C34453837A34ED50CB54917E1C2112"
957         "D84D164F444F8F74786046A",
958         "1085E2755381DCCCE3C1557AFA10C2F0C0C2825646C5B34A394CBCFA8BC16B22E7E78"
959         "9E927BE216F02E1FB136A5F",
960         "7B3EB1BDDCBA62D5D8B2059B525797FC73822C59059C623A45FF3843CEE8F87CD1855"
961         "ADAA81E2A0750B80FDA2310",
962         "00010090512DA9AF72B08349D98A5DD4C7B0532ECA51CE03E2D10F3B7AC579BD87E90"
963         "9AE40A6F131E9CFCE5BD967", 0xFF70,
964         NULL, 0,
965         "X9.62 curve over a 368 bit binary field"
966         };
967
968 static const EC_CURVE_DATA _EC_X9_62_CHAR2_431R1 = {
969         NID_X9_62_characteristic_two_field,
970         "800000000000000000000000000000000000000000000000000000000000000000000"
971         "000000001000000000000000000000000000001",
972         "1A827EF00DD6FC0E234CAF046C6A5D8A85395B236CC4AD2CF32A0CADBDC9DDF620B0E"
973         "B9906D0957F6C6FEACD615468DF104DE296CD8F",
974         "10D9B4A3D9047D8B154359ABFB1B7F5485B04CEB868237DDC9DEDA982A679A5A919B6"
975         "26D4E50A8DD731B107A9962381FB5D807BF2618",
976         "120FC05D3C67A99DE161D2F4092622FECA701BE4F50F4758714E8A87BBF2A658EF8C2"
977         "1E7C5EFE965361F6C2999C0C247B0DBD70CE6B7",
978         "20D0AF8903A96F8D5FA2C255745D3C451B302C9346D9B7E485E7BCE41F6B591F3E8F6"
979         "ADDCBB0BC4C2F947A7DE1A89B625D6A598B3760",
980         "0340340340340340340340340340340340340340340340340340340323C313FAB5058"
981         "9703B5EC68D3587FEC60D161CC149C1AD4A91", 0x2760,
982         NULL, 0,
983         "X9.62 curve over a 431 bit binary field"
984         };
985
986 static const EC_CURVE_DATA _EC_WTLS_1 = {
987         NID_X9_62_characteristic_two_field,
988         "020000000000000000000000000201",
989         "1",
990         "1",
991         "01667979A40BA497E5D5C270780617",
992         "00F44B4AF1ECC2630E08785CEBCC15",
993         "00FFFFFFFFFFFFFFFDBF91AF6DEA73", 2,
994         NULL, 0,
995         "WTLS curve over a 113 bit binary field"
996         };
997
998 /* IPSec curves */
999 /* NOTE: The of curves over a extension field of non prime degree
1000  * is not recommended (Weil-descent).
1001  * As the group order is not a prime this curve is not suitable
1002  * for ECDSA.
1003  */
1004 static const EC_CURVE_DATA _EC_IPSEC_155_ID3 = {
1005         NID_X9_62_characteristic_two_field,
1006         "0800000000000000000000004000000000000001",
1007         "0",
1008         "07338f",
1009         "7b",
1010         "1c8",
1011         "2AAAAAAAAAAAAAAAAAAC7F3C7881BD0868FA86C",3,
1012         NULL, 0,
1013         "\n\tIPSec/IKE/Oakley curve #3 over a 155 bit binary field.\n"
1014         "\tNot suitable for ECDSA.\n\tQuestionable extension field!"
1015         };
1016
1017 /* NOTE: The of curves over a extension field of non prime degree
1018  * is not recommended (Weil-descent).
1019  * As the group order is not a prime this curve is not suitable
1020  * for ECDSA.
1021  */
1022 static const EC_CURVE_DATA _EC_IPSEC_185_ID4 = {
1023         NID_X9_62_characteristic_two_field,
1024         "020000000000000000000000000000200000000000000001",
1025         "0",
1026         "1ee9",
1027         "18",
1028         "0d",
1029         "FFFFFFFFFFFFFFFFFFFFFFEDF97C44DB9F2420BAFCA75E",2,
1030         NULL, 0,
1031         "\n\tIPSec/IKE/Oakley curve #4 over a 185 bit binary field.\n"
1032         "\tNot suitable for ECDSA.\n\tQuestionable extension field!"
1033         };
1034
1035 typedef struct _ec_list_element_st {
1036         int     nid;
1037         const EC_CURVE_DATA *data;
1038         } ec_list_element;
1039
1040 static const ec_list_element curve_list[] = {
1041         /* prime field curves */        
1042         /* secg curves */
1043         { NID_secp112r1, &_EC_SECG_PRIME_112R1},
1044         { NID_secp112r2, &_EC_SECG_PRIME_112R2},
1045         { NID_secp128r1, &_EC_SECG_PRIME_128R1},
1046         { NID_secp128r2, &_EC_SECG_PRIME_128R2},
1047         { NID_secp160k1, &_EC_SECG_PRIME_160K1},
1048         { NID_secp160r1, &_EC_SECG_PRIME_160R1},
1049         { NID_secp160r2, &_EC_SECG_PRIME_160R2},
1050         /* SECG secp192r1 is the same as X9.62 prime192v1 and hence omitted */
1051         { NID_secp192k1, &_EC_SECG_PRIME_192K1},
1052         { NID_secp224k1, &_EC_SECG_PRIME_224K1},
1053         { NID_secp224r1, &_EC_NIST_PRIME_224},
1054         { NID_secp256k1, &_EC_SECG_PRIME_256K1},
1055         /* SECG secp256r1 is the same as X9.62 prime256v1 and hence omitted */
1056         { NID_secp384r1, &_EC_NIST_PRIME_384},
1057         { NID_secp521r1, &_EC_NIST_PRIME_521},
1058         /* X9.62 curves */
1059         { NID_X9_62_prime192v1, &_EC_NIST_PRIME_192},
1060         { NID_X9_62_prime192v2, &_EC_X9_62_PRIME_192V2},
1061         { NID_X9_62_prime192v3, &_EC_X9_62_PRIME_192V3},
1062         { NID_X9_62_prime239v1, &_EC_X9_62_PRIME_239V1},
1063         { NID_X9_62_prime239v2, &_EC_X9_62_PRIME_239V2},
1064         { NID_X9_62_prime239v3, &_EC_X9_62_PRIME_239V3},
1065         { NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1},
1066         /* characteristic two field curves */
1067         /* NIST/SECG curves */
1068         { NID_sect113r1, &_EC_SECG_CHAR2_113R1},
1069         { NID_sect113r2, &_EC_SECG_CHAR2_113R2},
1070         { NID_sect131r1, &_EC_SECG_CHAR2_131R1},
1071         { NID_sect131r2, &_EC_SECG_CHAR2_131R2},
1072         { NID_sect163k1, &_EC_NIST_CHAR2_163K },
1073         { NID_sect163r1, &_EC_SECG_CHAR2_163R1},
1074         { NID_sect163r2, &_EC_NIST_CHAR2_163B },
1075         { NID_sect193r1, &_EC_SECG_CHAR2_193R1},
1076         { NID_sect193r2, &_EC_SECG_CHAR2_193R2},
1077         { NID_sect233k1, &_EC_NIST_CHAR2_233K },
1078         { NID_sect233r1, &_EC_NIST_CHAR2_233B },
1079         { NID_sect239k1, &_EC_SECG_CHAR2_239K1},
1080         { NID_sect283k1, &_EC_NIST_CHAR2_283K },
1081         { NID_sect283r1, &_EC_NIST_CHAR2_283B },
1082         { NID_sect409k1, &_EC_NIST_CHAR2_409K },
1083         { NID_sect409r1, &_EC_NIST_CHAR2_409B },
1084         { NID_sect571k1, &_EC_NIST_CHAR2_571K },
1085         { NID_sect571r1, &_EC_NIST_CHAR2_571B },
1086         /* X9.62 curves */
1087         { NID_X9_62_c2pnb163v1, &_EC_X9_62_CHAR2_163V1},
1088         { NID_X9_62_c2pnb163v2, &_EC_X9_62_CHAR2_163V2},
1089         { NID_X9_62_c2pnb163v3, &_EC_X9_62_CHAR2_163V3},
1090         { NID_X9_62_c2pnb176v1, &_EC_X9_62_CHAR2_176V1},
1091         { NID_X9_62_c2tnb191v1, &_EC_X9_62_CHAR2_191V1},
1092         { NID_X9_62_c2tnb191v2, &_EC_X9_62_CHAR2_191V2},
1093         { NID_X9_62_c2tnb191v3, &_EC_X9_62_CHAR2_191V3},
1094         { NID_X9_62_c2pnb208w1, &_EC_X9_62_CHAR2_208W1},
1095         { NID_X9_62_c2tnb239v1, &_EC_X9_62_CHAR2_239V1},
1096         { NID_X9_62_c2tnb239v2, &_EC_X9_62_CHAR2_239V2},
1097         { NID_X9_62_c2tnb239v3, &_EC_X9_62_CHAR2_239V3},
1098         { NID_X9_62_c2pnb272w1, &_EC_X9_62_CHAR2_272W1},
1099         { NID_X9_62_c2pnb304w1, &_EC_X9_62_CHAR2_304W1},
1100         { NID_X9_62_c2tnb359v1, &_EC_X9_62_CHAR2_359V1},
1101         { NID_X9_62_c2pnb368w1, &_EC_X9_62_CHAR2_368W1},
1102         { NID_X9_62_c2tnb431r1, &_EC_X9_62_CHAR2_431R1},
1103         /* the WAP/WTLS curves */
1104         { NID_wap_wsg_idm_ecid_wtls1, &_EC_WTLS_1},
1105         { NID_wap_wsg_idm_ecid_wtls3, &_EC_NIST_CHAR2_163K},
1106         { NID_wap_wsg_idm_ecid_wtls4, &_EC_SECG_CHAR2_113R1},
1107         { NID_wap_wsg_idm_ecid_wtls5, &_EC_X9_62_CHAR2_163V1},
1108         { NID_wap_wsg_idm_ecid_wtls6, &_EC_SECG_PRIME_112R1},
1109         { NID_wap_wsg_idm_ecid_wtls7, &_EC_SECG_PRIME_160R2},
1110         { NID_wap_wsg_idm_ecid_wtls8, &_EC_WTLS_8},
1111         { NID_wap_wsg_idm_ecid_wtls9, &_EC_WTLS_9 },
1112         { NID_wap_wsg_idm_ecid_wtls10, &_EC_NIST_CHAR2_233K},
1113         { NID_wap_wsg_idm_ecid_wtls11, &_EC_NIST_CHAR2_233B},
1114         { NID_wap_wsg_idm_ecid_wtls12, &_EC_WTLS_12},
1115         /* IPSec curves */
1116         { NID_ipsec3, &_EC_IPSEC_155_ID3},
1117         { NID_ipsec4, &_EC_IPSEC_185_ID4},
1118 };
1119
1120 static size_t curve_list_length = sizeof(curve_list)/sizeof(ec_list_element);
1121
1122 static EC_GROUP *ec_group_new_from_data(const EC_CURVE_DATA *data)
1123         {
1124         EC_GROUP *group=NULL;
1125         EC_POINT *P=NULL;
1126         BN_CTX   *ctx=NULL;
1127         BIGNUM   *p=NULL, *a=NULL, *b=NULL, *x=NULL, *y=NULL, *order=NULL;
1128         int      ok=0;
1129
1130         if ((ctx = BN_CTX_new()) == NULL)
1131                 {
1132                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE);
1133                 goto err;
1134                 }
1135         if ((p = BN_new()) == NULL || (a = BN_new()) == NULL || 
1136                 (b = BN_new()) == NULL || (x = BN_new()) == NULL ||
1137                 (y = BN_new()) == NULL || (order = BN_new()) == NULL)
1138                 {
1139                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE);
1140                 goto err;
1141                 }
1142         
1143         if (!BN_hex2bn(&p, data->p) || !BN_hex2bn(&a, data->a)
1144                 || !BN_hex2bn(&b, data->b))
1145                 {
1146                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
1147                 goto err;
1148                 }
1149
1150         if (data->field_type == NID_X9_62_prime_field)
1151                 {
1152                 if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL)
1153                         {
1154                         ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1155                         goto err;
1156                         }
1157                 }
1158                 else
1159                 { /* field_type == NID_X9_62_characteristic_two_field */
1160                 if ((group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) == NULL)
1161                         {
1162                         ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1163                         goto err;
1164                         }
1165                 }
1166
1167         if ((P = EC_POINT_new(group)) == NULL)
1168                 {
1169                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1170                 goto err;
1171                 }
1172         
1173         if (!BN_hex2bn(&x, data->x) || !BN_hex2bn(&y, data->y))
1174                 {
1175                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
1176                 goto err;
1177                 }
1178         if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx))
1179                 {
1180                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1181                 goto err;
1182                 }
1183         if (!BN_hex2bn(&order, data->order) || !BN_set_word(x, data->cofactor))
1184                 {
1185                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
1186                 goto err;
1187                 }
1188         if (!EC_GROUP_set_generator(group, P, order, x))
1189                 {
1190                 ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1191                 goto err;
1192                 }
1193         if (data->seed)
1194                 {
1195                 if (!EC_GROUP_set_seed(group, data->seed, data->seed_len))
1196                         {
1197                         ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1198                         goto err;
1199                         }
1200                 }
1201         ok=1;
1202 err:
1203         if (!ok)
1204                 {
1205                 EC_GROUP_free(group);
1206                 group = NULL;
1207                 }
1208         if (P)
1209                 EC_POINT_free(P);
1210         if (ctx)
1211                 BN_CTX_free(ctx);
1212         if (p)
1213                 BN_free(p);
1214         if (a)
1215                 BN_free(a);
1216         if (b)
1217                 BN_free(b);
1218         if (order)
1219                 BN_free(order);
1220         if (x)
1221                 BN_free(x);
1222         if (y)
1223                 BN_free(y);
1224         return group;
1225         }
1226
1227 EC_GROUP *EC_GROUP_new_by_nid(int nid)
1228         {
1229         size_t i;
1230         EC_GROUP *ret = NULL;
1231
1232         if (nid <= 0)
1233                 return NULL;
1234
1235         for (i=0; i<curve_list_length; i++)
1236                 if (curve_list[i].nid == nid)
1237                         {
1238                         ret = ec_group_new_from_data(curve_list[i].data);
1239                         break;
1240                         }
1241
1242         if (ret == NULL)
1243                 {
1244                 ECerr(EC_F_EC_GROUP_NEW_BY_NID, EC_R_UNKNOWN_GROUP);
1245                 return NULL;
1246                 }
1247
1248         EC_GROUP_set_curve_name(ret, nid);
1249
1250         return ret;
1251         }
1252
1253 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems)
1254         {
1255         size_t  i, min;
1256
1257         if (r == NULL || nitems == 0)
1258                 return curve_list_length;
1259
1260         min = nitems < curve_list_length ? nitems : curve_list_length;
1261
1262         for (i = 0; i < min; i++)
1263                 {
1264                 r[i].nid = curve_list[i].nid;
1265                 r[i].comment = curve_list[i].data->comment;
1266                 }
1267
1268         return curve_list_length;
1269         }