def hk_okb

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/ed25519/top.bend:88

import Base
import bend-collections-laws-crypto@1.0.0.0/src/crypto/hash.bend as H
import bend-collections-laws-crypto@1.0.0.0/src/crypto/ed25519/scalar.bend as ESC
import bend-collections-laws-crypto@1.0.0.0/src/crypto/ed25519/ed25519.bend as E
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend as L
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/limbs.bend as LM
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/ed25519/scalar3.bend as S3
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/ed25519/bytes.bend as BY

88def hk_okb(+one: Nat, +h1: {one == 1n : Nat}, +rb: List<&2, U32>, +a: List<&2, U32>, +msg: List<&2, U32>) -> {LM.okb(32n, E.hram(rb, a, msg), 255n) == True{} : Bool}:
89  +kh = H.sha512(E.cat(rb, E.cat(a, msg)))
90  L.subst(List<&2, U32>, z => {LM.okb(32n, z, 255n) == True{} : Bool}, ESC.reduce(kh), E.hram(rb, a, msg), Equal.sym(List<&2, U32>, E.hram(rb, a, msg), ESC.reduce(kh), hram_i(rb, a, msg)), S3.reduce_okb(one, h1, kh, BY.sha_lea(E.cat(rb, E.cat(a, msg)))))