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#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>
#include <stdint.h>
namespace bls {
namespace impl {
struct SecretKey;
struct PublicKey;
struct Sign;
struct Id;
} // 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;
class Id;
/*
the value of secretKey and Id must be less than
r = 0x2523648240000001ba344d8000000007ff9f800000000010a10000000000000d
sizeof(uint64_t) * keySize = 32-byte
*/
const size_t keySize = 4;
typedef std::vector<SecretKey> SecretKeyVec;
typedef std::vector<PublicKey> PublicKeyVec;
typedef std::vector<Sign> SignVec;
typedef std::vector<Id> IdVec;
class Id {
impl::Id *self_;
template<class G, class T>
friend void LagrangeInterpolation(G& r, const T& vec, const IdVec& idVec);
friend class PublicKey;
friend class SecretKey;
public:
Id(unsigned int id = 0);
~Id();
Id(const Id& rhs);
Id& operator=(const Id& rhs);
bool operator==(const Id& rhs) const;
bool operator!=(const Id& rhs) const { return !(*this == rhs); }
friend std::ostream& operator<<(std::ostream& os, const Id& id);
friend std::istream& operator>>(std::istream& is, Id& id);
bool isZero() const;
/*
set p[0, .., keySize)
@note the value must be less than r
*/
void set(const uint64_t *p);
};
/*
s ; secret key
*/
class SecretKey {
impl::SecretKey *self_;
template<class G, class T>
friend void LagrangeInterpolation(G& r, const T& vec, const IdVec& idVec);
template<class T, class G>
friend struct Wrap;
template<class T, class G>
friend struct WrapPointer;
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); }
friend std::ostream& operator<<(std::ostream& os, const SecretKey& sec);
friend std::istream& operator>>(std::istream& is, SecretKey& sec);
/*
initialize secretKey with random number and set id = 0
*/
void init();
/*
set secretKey with p[0, .., keySize) and set id = 0
@note the value must be less than r
*/
void set(const uint64_t *p);
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;
/*
make [s_0, ..., s_{k-1}] to prepare k-out-of-n secret sharing
*/
void getMasterSecretKey(SecretKeyVec& msk, size_t k) const;
/*
set a secret key for id > 0 from msk
*/
void set(const SecretKeyVec& msk, const Id& id);
/*
recover secretKey from k secVec
*/
void recover(const SecretKeyVec& secVec, const IdVec& idVec);
/*
add secret key
*/
void add(const SecretKey& rhs);
// the following methods are for C api
/*
the size of msk must be k
*/
void set(const SecretKey *const *msk, size_t k, const Id& id);
void recover(const SecretKey *const *secVec, const Id *const *idVec, size_t n);
};
/*
sQ ; public key
*/
class PublicKey {
impl::PublicKey *self_;
friend class SecretKey;
friend class Sign;
template<class G, class T>
friend void LagrangeInterpolation(G& r, const T& vec, const IdVec& idVec);
template<class T, class G>
friend struct Wrap;
template<class T, class G>
friend struct WrapPointer;
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); }
friend std::ostream& operator<<(std::ostream& os, const PublicKey& pub);
friend std::istream& operator>>(std::istream& is, PublicKey& pub);
/*
set public for id from mpk
*/
void set(const PublicKeyVec& mpk, const Id& id);
/*
recover publicKey from k pubVec
*/
void recover(const PublicKeyVec& pubVec, const IdVec& idVec);
/*
add public key
*/
void add(const PublicKey& rhs);
};
/*
s H(m) ; sign
*/
class Sign {
impl::Sign *self_;
friend class PublicKey;
friend class SecretKey;
template<class G, class T>
friend void LagrangeInterpolation(G& r, const T& vec, const IdVec& idVec);
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); }
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, const IdVec& idVec);
/*
add signature
*/
void add(const Sign& rhs);
};
/*
make master public key [s_0 Q, ..., s_{k-1} Q] from msk
*/
inline void getMasterPublicKey(PublicKeyVec& mpk, const SecretKeyVec& msk)
{
const size_t n = msk.size();
mpk.resize(n);
for (size_t i = 0; i < n; i++) {
msk[i].getPublicKey(mpk[i]);
}
}
/*
make pop from msk and mpk
*/
inline void getPopVec(SignVec& popVec, const SecretKeyVec& msk)
{
const size_t n = msk.size();
popVec.resize(n);
for (size_t i = 0; i < n; i++) {
msk[i].getPop(popVec[i]);
}
}
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
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