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
|
/*************************************************
* GMP DSA Engine Source File *
* (C) 1999-2007 Jack Lloyd *
*************************************************/
#include <botan/eng_gmp.h>
#include <botan/gmp_wrap.h>
#include <gmp.h>
namespace Botan {
#if defined(BOTAN_HAS_DSA)
namespace {
/*************************************************
* GMP DSA Operation *
*************************************************/
class GMP_DSA_Op : public DSA_Operation
{
public:
bool verify(const byte[], u32bit, const byte[], u32bit) const;
SecureVector<byte> sign(const byte[], u32bit, const BigInt&) const;
DSA_Operation* clone() const { return new GMP_DSA_Op(*this); }
GMP_DSA_Op(const DL_Group& group, const BigInt& y1, const BigInt& x1) :
x(x1), y(y1), p(group.get_p()), q(group.get_q()), g(group.get_g()) {}
private:
const GMP_MPZ x, y, p, q, g;
};
/*************************************************
* GMP DSA Verify Operation *
*************************************************/
bool GMP_DSA_Op::verify(const byte msg[], u32bit msg_len,
const byte sig[], u32bit sig_len) const
{
const u32bit q_bytes = q.bytes();
if(sig_len != 2*q_bytes || msg_len > q_bytes)
return false;
GMP_MPZ r(sig, q_bytes);
GMP_MPZ s(sig + q_bytes, q_bytes);
GMP_MPZ i(msg, msg_len);
if(mpz_cmp_ui(r.value, 0) <= 0 || mpz_cmp(r.value, q.value) >= 0)
return false;
if(mpz_cmp_ui(s.value, 0) <= 0 || mpz_cmp(s.value, q.value) >= 0)
return false;
if(mpz_invert(s.value, s.value, q.value) == 0)
return false;
GMP_MPZ si;
mpz_mul(si.value, s.value, i.value);
mpz_mod(si.value, si.value, q.value);
mpz_powm(si.value, g.value, si.value, p.value);
GMP_MPZ sr;
mpz_mul(sr.value, s.value, r.value);
mpz_mod(sr.value, sr.value, q.value);
mpz_powm(sr.value, y.value, sr.value, p.value);
mpz_mul(si.value, si.value, sr.value);
mpz_mod(si.value, si.value, p.value);
mpz_mod(si.value, si.value, q.value);
if(mpz_cmp(si.value, r.value) == 0)
return true;
return false;
}
/*************************************************
* GMP DSA Sign Operation *
*************************************************/
SecureVector<byte> GMP_DSA_Op::sign(const byte in[], u32bit length,
const BigInt& k_bn) const
{
if(mpz_cmp_ui(x.value, 0) == 0)
throw Internal_Error("GMP_DSA_Op::sign: No private key");
GMP_MPZ i(in, length);
GMP_MPZ k(k_bn);
GMP_MPZ r;
mpz_powm(r.value, g.value, k.value, p.value);
mpz_mod(r.value, r.value, q.value);
mpz_invert(k.value, k.value, q.value);
GMP_MPZ s;
mpz_mul(s.value, x.value, r.value);
mpz_add(s.value, s.value, i.value);
mpz_mul(s.value, s.value, k.value);
mpz_mod(s.value, s.value, q.value);
if(mpz_cmp_ui(r.value, 0) == 0 || mpz_cmp_ui(s.value, 0) == 0)
throw Internal_Error("GMP_DSA_Op::sign: r or s was zero");
const u32bit q_bytes = q.bytes();
SecureVector<byte> output(2*q_bytes);
r.encode(output, q_bytes);
s.encode(output + q_bytes, q_bytes);
return output;
}
}
/*************************************************
* Acquire a DSA op *
*************************************************/
DSA_Operation* GMP_Engine::dsa_op(const DL_Group& group, const BigInt& y,
const BigInt& x) const
{
return new GMP_DSA_Op(group, y, x);
}
#endif
}
|