package bls12381 import ( "crypto/sha256" "errors" ) func hashToFpXMDSHA256(msg []byte, domain []byte, count int) ([]*fe, error) { randBytes, err := expandMsgSHA256XMD(msg, domain, count*64) if err != nil { return nil, err } els := make([]*fe, count) for i := 0; i < count; i++ { els[i], err = from64Bytes(randBytes[i*64 : (i+1)*64]) if err != nil { return nil, err } } return els, nil } func expandMsgSHA256XMD(msg []byte, domain []byte, outLen int) ([]byte, error) { h := sha256.New() domainLen := uint8(len(domain)) if domainLen > 255 { return nil, errors.New("invalid domain length") } // DST_prime = DST || I2OSP(len(DST), 1) // b_0 = H(Z_pad || msg || l_i_b_str || I2OSP(0, 1) || DST_prime) _, _ = h.Write(make([]byte, h.BlockSize())) _, _ = h.Write(msg) _, _ = h.Write([]byte{uint8(outLen >> 8), uint8(outLen)}) _, _ = h.Write([]byte{0}) _, _ = h.Write(domain) _, _ = h.Write([]byte{domainLen}) b0 := h.Sum(nil) // b_1 = H(b_0 || I2OSP(1, 1) || DST_prime) h.Reset() _, _ = h.Write(b0) _, _ = h.Write([]byte{1}) _, _ = h.Write(domain) _, _ = h.Write([]byte{domainLen}) b1 := h.Sum(nil) // b_i = H(strxor(b_0, b_(i - 1)) || I2OSP(i, 1) || DST_prime) ell := (outLen + h.Size() - 1) / h.Size() bi := b1 out := make([]byte, outLen) for i := 1; i < ell; i++ { h.Reset() // b_i = H(strxor(b_0, b_(i - 1)) || I2OSP(i, 1) || DST_prime) tmp := make([]byte, h.Size()) for j := 0; j < h.Size(); j++ { tmp[j] = b0[j] ^ bi[j] } _, _ = h.Write(tmp) _, _ = h.Write([]byte{1 + uint8(i)}) _, _ = h.Write(domain) _, _ = h.Write([]byte{domainLen}) // b_1 || ... || b_(ell - 1) copy(out[(i-1)*h.Size():i*h.Size()], bi[:]) bi = h.Sum(nil) } // b_ell copy(out[(ell-1)*h.Size():], bi[:]) return out[:outLen], nil }