/* * ECDSA Operation * (C) 2007 FlexSecure GmbH * 2008-2010 Jack Lloyd * * Distributed under the terms of the Botan license */ #include #include namespace Botan { Default_ECDSA_Op::Default_ECDSA_Op(const EC_Domain_Params& domain, const BigInt& priv, const PointGFp& pub) : dom_pars(domain), mod_n(dom_pars.get_order()), pub_key(pub), priv_key(priv) { } bool Default_ECDSA_Op::verify(const byte msg[], u32bit msg_len, const byte sig[], u32bit sig_len) const { const BigInt& n = dom_pars.get_order(); if(sig_len != n.bytes()*2) return false; BigInt e(msg, msg_len); BigInt r(sig, sig_len / 2); BigInt s(sig + sig_len / 2, sig_len / 2); if(r < 0 || r >= n || s < 0 || s >= n) return false; BigInt w = inverse_mod(s, n); PointGFp R = w * (e * dom_pars.get_base_point() + r*pub_key); if(R.is_zero()) return false; return (mod_n.reduce(R.get_affine_x()) == r); } SecureVector Default_ECDSA_Op::sign(const byte msg[], u32bit msg_len, const BigInt& k) const { if(priv_key == 0) throw Internal_Error("Default_ECDSA_Op::sign(): no private key"); const BigInt& n = dom_pars.get_order(); BigInt e(msg, msg_len); PointGFp k_times_P = dom_pars.get_base_point() * k; BigInt r = mod_n.reduce(k_times_P.get_affine_x()); if(r == 0) throw Internal_Error("Default_ECDSA_Op::sign: r was zero"); BigInt k_inv = inverse_mod(k, n); BigInt s = mod_n.reduce(mod_n.multiply(r, priv_key) + e); s = mod_n.multiply(s, k_inv); SecureVector output(2*n.bytes()); r.binary_encode(output + (output.size() / 2 - r.bytes())); s.binary_encode(output + (output.size() - s.bytes())); return output; } }