ec_curve.c revision 225736 
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
76typedef struct ec_curve_data_st {
77	int	field_type;	/* either NID_X9_62_prime_field or
78				 * NID_X9_62_characteristic_two_field */
79	const char *p;		/* either a prime number or a polynomial */
80	const char *a;
81	const char *b;
82	const char *x;		/* the x coordinate of the generator */
83	const char *y;		/* the y coordinate of the generator */
84	const char *order;	/* the order of the group generated by the
85				 * generator */
86	const BN_ULONG cofactor;/* the cofactor */
87	const unsigned char *seed;/* the seed (optional) */
88	size_t	seed_len;
89	const char *comment;	/* a short description of the curve */
90} EC_CURVE_DATA;
91
92/* the nist prime curves */
93static 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};
96static 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
108static 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};
111static 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
123static 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};
126static 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
144static 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};
147static 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) */
165static 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};
168static 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
180static 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};
183static 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
195static 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};
198static 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
210static 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};
213static 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
225static 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};
228static 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
240static 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};
243static 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) */
255static 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};
258static 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
270static 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};
273static 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
285static 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};
288static 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
300static 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};
303static 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
315static 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
327static 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};
330static 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
342static 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};
345static 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
357static 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
369static 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
381static 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 */
394static 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
406static 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
418static 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 */
431static 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};
434static 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
446static 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};
449static 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
461static 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};
464static 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
476static 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};
479static 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
491static 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
503static 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};
506static 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
526static 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};
529static 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
548static 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};
551static 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
563static 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};
566static 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
578static 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
590static 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};
593static 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
605static 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
617static 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
633static 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};
636static 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
654static 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
670static 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};
673static 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
691static 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
711static 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};
714static 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
738static 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};
741static 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
753static 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};
756static 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
768static 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};
771static 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
783static 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
795static 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};
798static 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
810static 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};
813static 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
825static 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};
828static 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
840static 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
852static 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};
855static 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
867static 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};
870static 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
882static 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};
885static 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
897static 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
911static 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
929static 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};
932static 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
950static 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
968static 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
986static 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 */
1004static 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 */
1022static 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
1035typedef struct _ec_list_element_st {
1036	int	nid;
1037	const EC_CURVE_DATA *data;
1038	} ec_list_element;
1039
1040static const ec_list_element curve_list[] = {
1041	/* prime field curves */
1042	/* secg curves */
1043	{ NID_secp112r1, &_EC_SECG_PRIME_112R1},
1044	{ NID_secp112r2, &_EC_SECG_PRIME_112R2},
1045	{ NID_secp128r1, &_EC_SECG_PRIME_128R1},
1046	{ NID_secp128r2, &_EC_SECG_PRIME_128R2},
1047	{ NID_secp160k1, &_EC_SECG_PRIME_160K1},
1048	{ NID_secp160r1, &_EC_SECG_PRIME_160R1},
1049	{ NID_secp160r2, &_EC_SECG_PRIME_160R2},
1050	/* SECG secp192r1 is the same as X9.62 prime192v1 and hence omitted */
1051	{ NID_secp192k1, &_EC_SECG_PRIME_192K1},
1052	{ NID_secp224k1, &_EC_SECG_PRIME_224K1},
1053	{ NID_secp224r1, &_EC_NIST_PRIME_224},
1054	{ NID_secp256k1, &_EC_SECG_PRIME_256K1},
1055	/* SECG secp256r1 is the same as X9.62 prime256v1 and hence omitted */
1056	{ NID_secp384r1, &_EC_NIST_PRIME_384},
1057	{ NID_secp521r1, &_EC_NIST_PRIME_521},
1058	/* X9.62 curves */
1059	{ NID_X9_62_prime192v1, &_EC_NIST_PRIME_192},
1060	{ NID_X9_62_prime192v2, &_EC_X9_62_PRIME_192V2},
1061	{ NID_X9_62_prime192v3, &_EC_X9_62_PRIME_192V3},
1062	{ NID_X9_62_prime239v1, &_EC_X9_62_PRIME_239V1},
1063	{ NID_X9_62_prime239v2, &_EC_X9_62_PRIME_239V2},
1064	{ NID_X9_62_prime239v3, &_EC_X9_62_PRIME_239V3},
1065	{ NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1},
1066	/* characteristic two field curves */
1067	/* NIST/SECG curves */
1068	{ NID_sect113r1, &_EC_SECG_CHAR2_113R1},
1069	{ NID_sect113r2, &_EC_SECG_CHAR2_113R2},
1070	{ NID_sect131r1, &_EC_SECG_CHAR2_131R1},
1071	{ NID_sect131r2, &_EC_SECG_CHAR2_131R2},
1072	{ NID_sect163k1, &_EC_NIST_CHAR2_163K },
1073	{ NID_sect163r1, &_EC_SECG_CHAR2_163R1},
1074	{ NID_sect163r2, &_EC_NIST_CHAR2_163B },
1075	{ NID_sect193r1, &_EC_SECG_CHAR2_193R1},
1076	{ NID_sect193r2, &_EC_SECG_CHAR2_193R2},
1077	{ NID_sect233k1, &_EC_NIST_CHAR2_233K },
1078	{ NID_sect233r1, &_EC_NIST_CHAR2_233B },
1079	{ NID_sect239k1, &_EC_SECG_CHAR2_239K1},
1080	{ NID_sect283k1, &_EC_NIST_CHAR2_283K },
1081	{ NID_sect283r1, &_EC_NIST_CHAR2_283B },
1082	{ NID_sect409k1, &_EC_NIST_CHAR2_409K },
1083	{ NID_sect409r1, &_EC_NIST_CHAR2_409B },
1084	{ NID_sect571k1, &_EC_NIST_CHAR2_571K },
1085	{ NID_sect571r1, &_EC_NIST_CHAR2_571B },
1086	/* X9.62 curves */
1087	{ NID_X9_62_c2pnb163v1, &_EC_X9_62_CHAR2_163V1},
1088	{ NID_X9_62_c2pnb163v2, &_EC_X9_62_CHAR2_163V2},
1089	{ NID_X9_62_c2pnb163v3, &_EC_X9_62_CHAR2_163V3},
1090	{ NID_X9_62_c2pnb176v1, &_EC_X9_62_CHAR2_176V1},
1091	{ NID_X9_62_c2tnb191v1, &_EC_X9_62_CHAR2_191V1},
1092	{ NID_X9_62_c2tnb191v2, &_EC_X9_62_CHAR2_191V2},
1093	{ NID_X9_62_c2tnb191v3, &_EC_X9_62_CHAR2_191V3},
1094	{ NID_X9_62_c2pnb208w1, &_EC_X9_62_CHAR2_208W1},
1095	{ NID_X9_62_c2tnb239v1, &_EC_X9_62_CHAR2_239V1},
1096	{ NID_X9_62_c2tnb239v2, &_EC_X9_62_CHAR2_239V2},
1097	{ NID_X9_62_c2tnb239v3, &_EC_X9_62_CHAR2_239V3},
1098	{ NID_X9_62_c2pnb272w1, &_EC_X9_62_CHAR2_272W1},
1099	{ NID_X9_62_c2pnb304w1, &_EC_X9_62_CHAR2_304W1},
1100	{ NID_X9_62_c2tnb359v1, &_EC_X9_62_CHAR2_359V1},
1101	{ NID_X9_62_c2pnb368w1, &_EC_X9_62_CHAR2_368W1},
1102	{ NID_X9_62_c2tnb431r1, &_EC_X9_62_CHAR2_431R1},
1103	/* the WAP/WTLS curves
1104	 * [unlike SECG, spec has its own OIDs for curves from X9.62] */
1105	{ NID_wap_wsg_idm_ecid_wtls1, &_EC_WTLS_1},
1106	{ NID_wap_wsg_idm_ecid_wtls3, &_EC_NIST_CHAR2_163K},
1107	{ NID_wap_wsg_idm_ecid_wtls4, &_EC_SECG_CHAR2_113R1},
1108	{ NID_wap_wsg_idm_ecid_wtls5, &_EC_X9_62_CHAR2_163V1},
1109	{ NID_wap_wsg_idm_ecid_wtls6, &_EC_SECG_PRIME_112R1},
1110	{ NID_wap_wsg_idm_ecid_wtls7, &_EC_SECG_PRIME_160R2},
1111	{ NID_wap_wsg_idm_ecid_wtls8, &_EC_WTLS_8},
1112	{ NID_wap_wsg_idm_ecid_wtls9, &_EC_WTLS_9 },
1113	{ NID_wap_wsg_idm_ecid_wtls10, &_EC_NIST_CHAR2_233K},
1114	{ NID_wap_wsg_idm_ecid_wtls11, &_EC_NIST_CHAR2_233B},
1115	{ NID_wap_wsg_idm_ecid_wtls12, &_EC_WTLS_12},
1116	/* IPSec curves */
1117	{ NID_ipsec3, &_EC_IPSEC_155_ID3},
1118	{ NID_ipsec4, &_EC_IPSEC_185_ID4},
1119};
1120
1121static size_t curve_list_length = sizeof(curve_list)/sizeof(ec_list_element);
1122
1123static EC_GROUP *ec_group_new_from_data(const EC_CURVE_DATA *data)
1124	{
1125	EC_GROUP *group=NULL;
1126	EC_POINT *P=NULL;
1127	BN_CTX	 *ctx=NULL;
1128	BIGNUM 	 *p=NULL, *a=NULL, *b=NULL, *x=NULL, *y=NULL, *order=NULL;
1129	int	 ok=0;
1130
1131	if ((ctx = BN_CTX_new()) == NULL)
1132		{
1133		ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE);
1134		goto err;
1135		}
1136	if ((p = BN_new()) == NULL || (a = BN_new()) == NULL ||
1137		(b = BN_new()) == NULL || (x = BN_new()) == NULL ||
1138		(y = BN_new()) == NULL || (order = BN_new()) == NULL)
1139		{
1140		ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE);
1141		goto err;
1142		}
1143
1144	if (!BN_hex2bn(&p, data->p) || !BN_hex2bn(&a, data->a)
1145		|| !BN_hex2bn(&b, data->b))
1146		{
1147		ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
1148		goto err;
1149		}
1150
1151	if (data->field_type == NID_X9_62_prime_field)
1152		{
1153		if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL)
1154			{
1155			ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1156			goto err;
1157			}
1158		}
1159		else
1160		{ /* field_type == NID_X9_62_characteristic_two_field */
1161		if ((group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) == NULL)
1162			{
1163			ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1164			goto err;
1165			}
1166		}
1167
1168	if ((P = EC_POINT_new(group)) == NULL)
1169		{
1170		ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1171		goto err;
1172		}
1173
1174	if (!BN_hex2bn(&x, data->x) || !BN_hex2bn(&y, data->y))
1175		{
1176		ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
1177		goto err;
1178		}
1179	if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx))
1180		{
1181		ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1182		goto err;
1183		}
1184	if (!BN_hex2bn(&order, data->order) || !BN_set_word(x, data->cofactor))
1185		{
1186		ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
1187		goto err;
1188		}
1189	if (!EC_GROUP_set_generator(group, P, order, x))
1190		{
1191		ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1192		goto err;
1193		}
1194	if (data->seed)
1195		{
1196		if (!EC_GROUP_set_seed(group, data->seed, data->seed_len))
1197			{
1198			ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
1199			goto err;
1200			}
1201		}
1202	ok=1;
1203err:
1204	if (!ok)
1205		{
1206		EC_GROUP_free(group);
1207		group = NULL;
1208		}
1209	if (P)
1210		EC_POINT_free(P);
1211	if (ctx)
1212		BN_CTX_free(ctx);
1213	if (p)
1214		BN_free(p);
1215	if (a)
1216		BN_free(a);
1217	if (b)
1218		BN_free(b);
1219	if (order)
1220		BN_free(order);
1221	if (x)
1222		BN_free(x);
1223	if (y)
1224		BN_free(y);
1225	return group;
1226	}
1227
1228EC_GROUP *EC_GROUP_new_by_curve_name(int nid)
1229	{
1230	size_t i;
1231	EC_GROUP *ret = NULL;
1232
1233	if (nid <= 0)
1234		return NULL;
1235
1236	for (i=0; i<curve_list_length; i++)
1237		if (curve_list[i].nid == nid)
1238			{
1239			ret = ec_group_new_from_data(curve_list[i].data);
1240			break;
1241			}
1242
1243	if (ret == NULL)
1244		{
1245		ECerr(EC_F_EC_GROUP_NEW_BY_CURVE_NAME, EC_R_UNKNOWN_GROUP);
1246		return NULL;
1247		}
1248
1249	EC_GROUP_set_curve_name(ret, nid);
1250
1251	return ret;
1252	}
1253
1254size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems)
1255	{
1256	size_t	i, min;
1257
1258	if (r == NULL || nitems == 0)
1259		return curve_list_length;
1260
1261	min = nitems < curve_list_length ? nitems : curve_list_length;
1262
1263	for (i = 0; i < min; i++)
1264		{
1265		r[i].nid = curve_list[i].nid;
1266		r[i].comment = curve_list[i].data->comment;
1267		}
1268
1269	return curve_list_length;
1270	}
1271