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
|
#pragma once
/**
@file
@brief BLS threshold signature on BN curve
@author MITSUNARI Shigeo(@herumi)
@license modified new BSD license
http://opensource.org/licenses/BSD-3-Clause
*/
#include <vector>
#include <string>
#include <iosfwd>
namespace bls {
namespace impl {
struct SecretKey;
struct PublicKey;
struct Sign;
} // bls::impl
/*
BLS signature
e : G2 x G1 -> Fp12
Q in G2 ; fixed global parameter
H : {str} -> G1
s : secret key
sQ ; public key
s H(m) ; signature of m
verify ; e(sQ, H(m)) = e(Q, s H(m))
*/
/*
initialize this library
call this once before using the other method
*/
void init();
class SecretKey;
class PublicKey;
class Sign;
const size_t keySize = 32;
typedef std::vector<SecretKey> SecretKeyVec;
typedef std::vector<PublicKey> PublicKeyVec;
typedef std::vector<Sign> SignVec;
/*
s ; secret key
*/
class SecretKey {
impl::SecretKey *self_;
int id_; // master if id_ = 0, shared if id_ > 0
template<class G, class T>
friend void LagrangeInterpolation(G& r, const T& vec);
template<class T, class G>
friend struct Wrap;
public:
SecretKey();
~SecretKey();
SecretKey(const SecretKey& rhs);
SecretKey& operator=(const SecretKey& rhs);
bool operator==(const SecretKey& rhs) const;
bool operator!=(const SecretKey& rhs) const { return !(*this == rhs); }
int getId() const { return id_; }
friend std::ostream& operator<<(std::ostream& os, const SecretKey& sec);
friend std::istream& operator>>(std::istream& is, SecretKey& sec);
/*
make a secret key for id = 0
set p[keySize] if p != 0
*/
void init(const uint64_t *p = 0);
void getPublicKey(PublicKey& pub) const;
void sign(Sign& sign, const std::string& m) const;
/*
make Pop(Proof of Possesion)
pop = prv.sign(pub)
*/
void getPop(Sign& pop, const PublicKey& pub) const;
/*
make [s_0, ..., s_{k-1}] to prepare k-out-of-n secret sharing
*/
void getMasterSecretKey(SecretKeyVec& msk, int k) const;
/*
set a secret key for id > 0 from msk
*/
void set(const SecretKeyVec& msk, int id);
/*
recover secretKey from k secVec
*/
void recover(const SecretKeyVec& secVec);
/*
add secret key only if id_ == 0
*/
void add(const SecretKey& rhs);
};
/*
sQ ; public key
*/
class PublicKey {
impl::PublicKey *self_;
int id_;
friend class SecretKey;
friend class Sign;
template<class G, class T>
friend void LagrangeInterpolation(G& r, const T& vec);
template<class T, class G>
friend struct Wrap;
public:
PublicKey();
~PublicKey();
PublicKey(const PublicKey& rhs);
PublicKey& operator=(const PublicKey& rhs);
bool operator==(const PublicKey& rhs) const;
bool operator!=(const PublicKey& rhs) const { return !(*this == rhs); }
int getId() const { return id_; }
friend std::ostream& operator<<(std::ostream& os, const PublicKey& pub);
friend std::istream& operator>>(std::istream& is, PublicKey& pub);
void getStr(std::string& str) const;
/*
set public for id from mpk
*/
void set(const PublicKeyVec& mpk, int id);
/*
recover publicKey from k pubVec
*/
void recover(const PublicKeyVec& pubVec);
/*
add public key only if id_ == 0
*/
void add(const PublicKey& rhs);
};
/*
s H(m) ; sign
*/
class Sign {
impl::Sign *self_;
int id_;
friend class PublicKey;
friend class SecretKey;
template<class G, class T>
friend void LagrangeInterpolation(G& r, const T& vec);
public:
Sign();
~Sign();
Sign(const Sign& rhs);
Sign& operator=(const Sign& rhs);
bool operator==(const Sign& rhs) const;
bool operator!=(const Sign& rhs) const { return !(*this == rhs); }
int getId() const { return id_; }
friend std::ostream& operator<<(std::ostream& os, const Sign& s);
friend std::istream& operator>>(std::istream& is, Sign& s);
bool verify(const PublicKey& pub, const std::string& m) const;
/*
verify self(pop) with pub
*/
bool verify(const PublicKey& pub) const;
/*
recover sign from k signVec
*/
void recover(const SignVec& signVec);
/*
add signature key only if id_ == 0
*/
void add(const Sign& rhs);
};
/*
make master public key [s_0 Q, ..., s_{k-1} Q] from msk
*/
void getMasterPublicKey(PublicKeyVec& mpk, const SecretKeyVec& msk);
/*
make pop from msk and mpk
*/
void getPopVec(SignVec& popVec, const SecretKeyVec& msk, const PublicKeyVec& mpk);
inline Sign operator+(const Sign& a, const Sign& b) { Sign r(a); r.add(b); return r; }
inline PublicKey operator+(const PublicKey& a, const PublicKey& b) { PublicKey r(a); r.add(b); return r; }
inline SecretKey operator+(const SecretKey& a, const SecretKey& b) { SecretKey r(a); r.add(b); return r; }
} //bls
|
