#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 #include #include #include 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 SecretKeyVec; typedef std::vector PublicKeyVec; typedef std::vector SignVec; typedef std::vector IdVec; class Id { impl::Id *self_; template 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 friend void LagrangeInterpolation(G& r, const T& vec, const IdVec& idVec); template friend struct Wrap; template 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 friend void LagrangeInterpolation(G& r, const T& vec, const IdVec& idVec); template friend struct Wrap; template 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 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