#include #include #include #include "Log.h" #include "Signature.h" namespace i2p { namespace crypto { class Ed25519 { public: Ed25519 () { q = CryptoPP::Integer::Power2 (255) - CryptoPP::Integer (19); // 2^255-19 l = CryptoPP::Integer::Power2 (252) + CryptoPP::Integer ("27742317777372353535851937790883648493"); // 2^252 + 27742317777372353535851937790883648493 d = CryptoPP::Integer (-121665) * CryptoPP::Integer (121666).InverseMod (q); // -121665/121666 I = a_exp_b_mod_c (CryptoPP::Integer::Two (), (q - CryptoPP::Integer::One ()).DividedBy (4), q); B = DecodePoint (CryptoPP::Integer (4)*CryptoPP::Integer (5).InverseMod (q)); } CryptoPP::ECP::Point DecodePublicKey (const uint8_t * key) const { return DecodePoint (CryptoPP::Integer (key, 32)); } CryptoPP::ECP::Point GeneratePublicKey (const uint8_t * privateKey) const { return Mul (B, CryptoPP::Integer (privateKey, 32)); } private: CryptoPP::ECP::Point Sum (const CryptoPP::ECP::Point& p1, const CryptoPP::ECP::Point& p2) const { CryptoPP::Integer m = d*p1.x*p2.x*p1.y*p2.y, x = a_times_b_mod_c (p1.x*p2.y + p2.x*p1.y, (CryptoPP::Integer::One() + m).InverseMod (q), q), y = a_times_b_mod_c (p1.y*p2.y + p1.x*p2.x, (CryptoPP::Integer::One() - m).InverseMod (q), q); return CryptoPP::ECP::Point {x, y}; } CryptoPP::ECP::Point Mul (const CryptoPP::ECP::Point& p, const CryptoPP::Integer& e) const { CryptoPP::ECP::Point res {0, 1}; if (!e.IsZero ()) { auto bitCount = e.BitCount (); for (int i = bitCount - 1; i >= 0; i--) { res = Sum (res, res); if (e.GetBit (i)) res = Sum (res, p); } } return res; } bool IsOnCurve (const CryptoPP::ECP::Point& p) const { auto x2 = p.x.Squared(), y2 = p.y.Squared (); return (y2 - x2 - CryptoPP::Integer::One() - d*x2*y2).Modulo (q).IsZero (); } CryptoPP::Integer RecoverX (const CryptoPP::Integer& y) const { auto y2 = y.Squared (); auto xx = (y2 - CryptoPP::Integer::One())*(d*y2 + CryptoPP::Integer::One()).InverseMod (q); auto x = a_exp_b_mod_c (xx, (q + CryptoPP::Integer (3)).DividedBy (8), q); if (!(x.Squared () - xx).Modulo (q).IsZero ()) x = a_times_b_mod_c (x, I, q); if (x.IsOdd ()) x = q - x; return x; } CryptoPP::ECP::Point DecodePoint (const CryptoPP::Integer& y) const { auto x = RecoverX (y); CryptoPP::ECP::Point p {x, y}; if (!IsOnCurve (p)) { LogPrint (eLogError, "Decoded point is not on 25519"); return CryptoPP::ECP::Point {0, 1}; } return p; } private: CryptoPP::Integer q, l, d, I; CryptoPP::ECP::Point B; // base point }; static std::unique_ptr g_Ed25519; std::unique_ptr& GetEd25519 () { if (!g_Ed25519) g_Ed25519.reset (new Ed25519 ()); return g_Ed25519; } EDDSA25519Verifier::EDDSA25519Verifier (const uint8_t * signingKey): m_PublicKey (GetEd25519 ()->DecodePublicKey (signingKey)) { } bool EDDSA25519Verifier::Verify (const uint8_t * buf, size_t len, const uint8_t * signature) const { return true; // TODO: } void EDDSA25519Signer::Sign (CryptoPP::RandomNumberGenerator& rnd, const uint8_t * buf, int len, uint8_t * signature) const { // TODO } } }