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
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
|
//------------------------------------------------------------------------------
//
// ecdsa_model.h
// --------------------------------------------
// Base point scalar multiplier model for ECDSA
//
// Authors: Pavel Shatov
//
// Copyright (c) 2015-2016, NORDUnet A/S
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are met:
//
// - Redistributions of source code must retain the above copyright notice,
// this list of conditions and the following disclaimer.
//
// - Redistributions in binary form must reproduce the above copyright notice,
// this list of conditions and the following disclaimer in the documentation
// and/or other materials provided with the distribution.
//
// - Neither the name of the NORDUnet nor the names of its contributors may be
// used to endorse or promote products derived from this software without
// specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
// POSSIBILITY OF SUCH DAMAGE.
//
//------------------------------------------------------------------------------
//------------------------------------------------------------------------------
//
// Curve Selection
//
// USE_CURVE == 1 -> P-256
// USE_CURVE == 2 -> P-384
//
//------------------------------------------------------------------------------
//------------------------------------------------------------------------------
// Model Parameters
//------------------------------------------------------------------------------
#if USE_CURVE == 1
#define OPERAND_WIDTH (256) // largest supported operand width in bits
#elif USE_CURVE == 2
#define OPERAND_WIDTH (384) // largest supported operand width in bits
#else
#error USE_CURVE must be either 1 or 2!
#endif
//------------------------------------------------------------------------------
// P-256 Parameters and Test Vectors
//------------------------------------------------------------------------------
/* Field Size */
#define P_256_Q {0xffffffff, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0xffffffff, 0xffffffff, 0xffffffff}
/* Generic Numbers */
#define P_256_ZERO {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000}
#define P_256_ONE {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001}
/* Division Factor */
#define P_256_DELTA {0x7fffffff, 0x80000000, 0x80000000, 0x00000000, 0x00000000, 0x80000000, 0x00000000, 0x00000000}
/* Base Point */
#define P_256_G_X {0x6b17d1f2, 0xe12c4247, 0xf8bce6e5, 0x63a440f2, 0x77037d81, 0x2deb33a0, 0xf4a13945, 0xd898c296}
#define P_256_G_Y {0x4fe342e2, 0xfe1a7f9b, 0x8ee7eb4a, 0x7c0f9e16, 0x2bce3357, 0x6b315ece, 0xcbb64068, 0x37bf51f5}
/* Doubled Base Point */
#define P_256_H_X {0x29d05c19, 0x3da77b71, 0x0e863235, 0x38b77e1b, 0x11f904fe, 0xa42998be, 0x16bd8d74, 0x4ece7ad0}
#define P_256_H_Y {0xb01cbd1c, 0x01e58065, 0x711814b5, 0x83f061e9, 0xd431cca9, 0x94cea131, 0x3449bf97, 0xc840ae07}
/* Base Point Order */
#define P_256_N {0xffffffff, 0x00000000, 0xffffffff, 0xffffffff, 0xbce6faad, 0xa7179e84, 0xf3b9cac2, 0xfc632551}
/* Private Key */
#define P_256_D {0x70a12c2d, 0xb16845ed, 0x56ff68cf, 0xc21a472b, 0x3f04d7d6, 0x851bf634, 0x9f2d7d5b, 0x3452b38a}
/* Per-message Random Number */
#define P_256_K {0x580ec00d, 0x85643433, 0x4cef3f71, 0xecaed496, 0x5b12ae37, 0xfa47055b, 0x1965c7b1, 0x34ee45d0}
/* Public Key */
#define P_256_Q_X {0x8101ece4, 0x7464a6ea, 0xd70cf69a, 0x6e2bd3d8, 0x8691a326, 0x2d22cba4, 0xf7635eaf, 0xf26680a8}
#define P_256_Q_Y {0xd8a12ba6, 0x1d599235, 0xf67d9cb4, 0xd58f1783, 0xd3ca43e7, 0x8f0a5aba, 0xa6240799, 0x36c0c3a9}
/* Part of Signature */
#define P_256_R_X {0x7214bc96, 0x47160bbd, 0x39ff2f80, 0x533f5dc6, 0xddd70ddf, 0x86bb8156, 0x61e805d5, 0xd4e6f27c}
#define P_256_R_Y {0x8b81e3e9, 0x77597110, 0xc7cf2633, 0x435b2294, 0xb7264298, 0x7defd3d4, 0x007e1cfc, 0x5df84541}
//------------------------------------------------------------------------------
// P-384 Parameters and Test Vectors
//------------------------------------------------------------------------------
/* Field Size */
#define P_384_Q {0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0xffffffff, 0x00000000, 0x00000000, 0xffffffff}
/* Generic Numbers */
#define P_384_ZERO {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000}
#define P_384_ONE {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001}
/* Division Factor */
#define P_384_DELTA {0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x7fffffff, 0x80000000, 0x0000000, 0x080000000}
/* Base Point */
#define P_384_G_X {0xaa87ca22, 0xbe8b0537, 0x8eb1c71e, 0xf320ad74, 0x6e1d3b62, 0x8ba79b98, 0x59f741e0, 0x82542a38, 0x5502f25d, 0xbf55296c, 0x3a545e38, 0x72760ab7}
#define P_384_G_Y {0x3617de4a, 0x96262c6f, 0x5d9e98bf, 0x9292dc29, 0xf8f41dbd, 0x289a147c, 0xe9da3113, 0xb5f0b8c0, 0x0a60b1ce, 0x1d7e819d, 0x7a431d7c, 0x90ea0e5f}
/* Doubled Base Point */
#define P_384_H_X {0xaaf06bba, 0x82e9f590, 0xe29c71c2, 0x19bea517, 0x23c5893a, 0xe8b0c8cf, 0x4c117c3e, 0xfb57ab8d, 0x55fa1b42, 0x8155ad27, 0x8b574391, 0x1b13ea8a}
#define P_384_H_Y {0xc9e821b5, 0x69d9d390, 0xa2616740, 0x6d6d23d6, 0x070be242, 0xd765eb83, 0x1625ceec, 0x4a0f473e, 0xf59f4e30, 0xe2817e62, 0x85bce284, 0x6f15f19d}
/* Base Point Order */
#define P_384_N {0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xc7634d81, 0xf4372ddf, 0x581a0db2, 0x48b0a77a, 0xecec196a, 0xccc52973}
/* Private Key */
#define P_384_D {0xc838b852, 0x53ef8dc7, 0x394fa580, 0x8a518398, 0x1c7deef5, 0xa69ba8f4, 0xf2117ffe, 0xa39cfcd9, 0x0e95f6cb, 0xc854abac, 0xab701d50, 0xc1f3cf24}
/* Per-message Random Number */
#define P_384_K {0xdc6b4403, 0x6989a196, 0xe39d1cda, 0xc000812f, 0x4bdd8b2d, 0xb41bb33a, 0xf5137258, 0x5ebd1db6, 0x3f0ce827, 0x5aa1fd45, 0xe2d2a735, 0xf8749359}
/* Public Key */
#define P_384_Q_X {0x1fbac8ee, 0xbd0cbf35, 0x640b39ef, 0xe0808dd7, 0x74debff2, 0x0a2a329e, 0x91713baf, 0x7d7f3c3e, 0x81546d88, 0x3730bee7, 0xe48678f8, 0x57b02ca0}
#define P_384_Q_Y {0xeb213103, 0xbd68ce34, 0x3365a8a4, 0xc3d4555f, 0xa385f533, 0x0203bdd7, 0x6ffad1f3, 0xaffb9575, 0x1c132007, 0xe1b24035, 0x3cb0a4cf, 0x1693bdf9}
/* Part of Signature */
#define P_384_R_X {0xa0c27ec8, 0x93092dea, 0x1e1bd2cc, 0xfed3cf94, 0x5c8134ed, 0x0c9f8131, 0x1a0f4a05, 0x942db8db, 0xed8dd59f, 0x267471d5, 0x462aa14f, 0xe72de856}
#define P_384_R_Y {0x85564940, 0x9815bb91, 0x424eaca5, 0xfd76c973, 0x75d575d1, 0x422ec53d, 0x343bd33b, 0x847fdf0c, 0x11569685, 0xb528ab25, 0x49301542, 0x8d7cf72b}
//------------------------------------------------------------------------------
// Parameter and Test Vector Selection
//------------------------------------------------------------------------------
#if USE_CURVE == 1
#define ECDSA_Q P_256_Q
#define ECDSA_ZERO P_256_ZERO
#define ECDSA_ONE P_256_ONE
#define ECDSA_DELTA P_256_DELTA
#define ECDSA_G_X P_256_G_X
#define ECDSA_G_Y P_256_G_Y
#define ECDSA_H_X P_256_H_X
#define ECDSA_H_Y P_256_H_Y
#define ECDSA_N P_256_N
#define ECDSA_D P_256_D
#define ECDSA_K P_256_K
#define ECDSA_Q_X P_256_Q_X
#define ECDSA_Q_Y P_256_Q_Y
#define ECDSA_R_X P_256_R_X
#define ECDSA_R_Y P_256_R_Y
#elif USE_CURVE == 2
#define ECDSA_Q P_384_Q
#define ECDSA_ZERO P_384_ZERO
#define ECDSA_ONE P_384_ONE
#define ECDSA_DELTA P_384_DELTA
#define ECDSA_G_X P_384_G_X
#define ECDSA_G_Y P_384_G_Y
#define ECDSA_H_X P_384_H_X
#define ECDSA_H_Y P_384_H_Y
#define ECDSA_N P_384_N
#define ECDSA_D P_384_D
#define ECDSA_K P_384_K
#define ECDSA_Q_X P_384_Q_X
#define ECDSA_Q_Y P_384_Q_Y
#define ECDSA_R_X P_384_R_X
#define ECDSA_R_Y P_384_R_Y
#else
#error USE_CURVE must be either 1 or 2!
#endif
//------------------------------------------------------------------------------
// End-of-File
//------------------------------------------------------------------------------
|
