1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
|
/* LibTomCrypt, modular cryptographic library -- Tom St Denis
*
* LibTomCrypt is a library that provides various cryptographic
* algorithms in a highly modular and flexible manner.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/
/* Implements ECC over Z/pZ for curve y^2 = x^3 - 3x + b
*
* All curves taken from NIST recommendation paper of July 1999
* Available at http://csrc.nist.gov/cryptval/dss.htm
*/
#include "tomcrypt.h"
/**
@file ecc.c
ECC Crypto, Tom St Denis
*/
#ifdef LTC_MECC
/* This holds the key settings. ***MUST*** be organized by size from smallest to largest. */
const ltc_ecc_set_type ltc_ecc_sets[] = {
#ifdef ECC112
{
14,
"SECP112R1",
"DB7C2ABF62E35E668076BEAD208B",
"659EF8BA043916EEDE8911702B22",
"DB7C2ABF62E35E7628DFAC6561C5",
"09487239995A5EE76B55F9C2F098",
"A89CE5AF8724C0A23E0E0FF77500"
},
#endif
#ifdef ECC128
{
16,
"SECP128R1",
"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
"E87579C11079F43DD824993C2CEE5ED3",
"FFFFFFFE0000000075A30D1B9038A115",
"161FF7528B899B2D0C28607CA52C5B86",
"CF5AC8395BAFEB13C02DA292DDED7A83",
},
#endif
#ifdef ECC160
{
20,
"SECP160R1",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
"1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
"0100000000000000000001F4C8F927AED3CA752257",
"4A96B5688EF573284664698968C38BB913CBFC82",
"23A628553168947D59DCC912042351377AC5FB32",
},
#endif
#ifdef ECC192
{
24,
"ECC-192",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
"64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
"FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
"188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012",
"7192B95FFC8DA78631011ED6B24CDD573F977A11E794811",
},
#endif
#ifdef ECC224
{
28,
"ECC-224",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
"B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
"BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
},
#endif
#ifdef ECC256
{
32,
"ECC-256",
"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
"5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
"FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
"6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",
"4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
},
#endif
#ifdef ECC384
{
48,
"ECC-384",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
"B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
"AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7",
"3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F",
},
#endif
#ifdef ECC521
{
66,
"ECC-521",
"1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"51953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
"1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
"C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66",
"11839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650",
},
#endif
{
0,
NULL, NULL, NULL, NULL, NULL, NULL
}
};
#endif
/* $Source$ */
/* $Revision$ */
/* $Date$ */
|