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
|
/*
* NIST elliptic curves over GF(p)
* (C) 2014 Jack Lloyd
*
* Botan is released under the Simplified BSD License (see license.txt)
*/
#ifndef BOTAN_GFP_CURVE_NIST_H__
#define BOTAN_GFP_CURVE_NIST_H__
#include <botan/curve_gfp.h>
#include <memory>
namespace Botan {
class CurveGFp_NIST : public CurveGFp_Repr
{
public:
CurveGFp_NIST(size_t p_bits, const BigInt& a, const BigInt& b) :
m_a(a), m_b(b), m_p_words((p_bits + BOTAN_MP_WORD_BITS - 1) / BOTAN_MP_WORD_BITS)
{
}
size_t get_p_words() const override { return m_p_words; }
const BigInt& get_a() const override { return m_a; }
const BigInt& get_b() const override { return m_b; }
const BigInt& get_a_rep() const override { return m_a; }
const BigInt& get_b_rep() const override { return m_b; }
void to_curve_rep(BigInt& x, secure_vector<word>& ws) const override
{ redc(x, ws); }
void from_curve_rep(BigInt& x, secure_vector<word>& ws) const override
{ redc(x, ws); }
void curve_mul(BigInt& z, const BigInt& x, const BigInt& y,
secure_vector<word>& ws) const override;
void curve_sqr(BigInt& z, const BigInt& x,
secure_vector<word>& ws) const override;
private:
virtual void redc(BigInt& x, secure_vector<word>& ws) const = 0;
virtual size_t max_redc_subtractions() const = 0;
// Curve parameters
BigInt m_a, m_b;
size_t m_p_words; // cache of m_p.sig_words()
};
#if (BOTAN_MP_WORD_BITS == 32) || (BOTAN_MP_WORD_BITS == 64)
#define BOTAN_HAS_CURVEGFP_NISTP_M32
/**
* The NIST P-192 curve
*/
class CurveGFp_P192 : public CurveGFp_NIST
{
public:
CurveGFp_P192(const BigInt& a, const BigInt& b) : CurveGFp_NIST(192, a, b) {}
static const BigInt& prime();
const BigInt& get_p() const override { return CurveGFp_P192::prime(); }
private:
void redc(BigInt& x, secure_vector<word>& ws) const override;
size_t max_redc_subtractions() const override { return 3; }
};
/**
* The NIST P-224 curve
*/
class CurveGFp_P224 : public CurveGFp_NIST
{
public:
CurveGFp_P224(const BigInt& a, const BigInt& b) : CurveGFp_NIST(224, a, b) {}
static const BigInt& prime();
const BigInt& get_p() const override { return CurveGFp_P224::prime(); }
private:
void redc(BigInt& x, secure_vector<word>& ws) const override;
size_t max_redc_subtractions() const override { return 3; }
};
/**
* The NIST P-256 curve
*/
class CurveGFp_P256 : public CurveGFp_NIST
{
public:
CurveGFp_P256(const BigInt& a, const BigInt& b) : CurveGFp_NIST(256, a, b) {}
static const BigInt& prime();
const BigInt& get_p() const override { return CurveGFp_P256::prime(); }
private:
void redc(BigInt& x, secure_vector<word>& ws) const override;
size_t max_redc_subtractions() const override { return 10; }
};
/**
* The NIST P-384 curve
*/
class CurveGFp_P384 : public CurveGFp_NIST
{
public:
CurveGFp_P384(const BigInt& a, const BigInt& b) : CurveGFp_NIST(384, a, b) {}
static const BigInt& prime();
const BigInt& get_p() const override { return CurveGFp_P384::prime(); }
private:
void redc(BigInt& x, secure_vector<word>& ws) const override;
size_t max_redc_subtractions() const override { return 4; }
};
#endif
/**
* The NIST P-521 curve
*/
class CurveGFp_P521 : public CurveGFp_NIST
{
public:
CurveGFp_P521(const BigInt& a, const BigInt& b) : CurveGFp_NIST(521, a, b) {}
static const BigInt& prime();
const BigInt& get_p() const override { return CurveGFp_P521::prime(); }
private:
void redc(BigInt& x, secure_vector<word>& ws) const override;
size_t max_redc_subtractions() const override { return 1; }
};
}
#endif
|
