def cbc_rt.serpent

bend-osdev-crypto@0.1.0.0 · PROOF.bend:1046

import Base
import bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend as M
import bend-osdev-legacy-ciphers@0.1.0.0/serpent.bend as Sp
import bend-osdev-legacy-ciphers@0.1.0.0/LAWS.bend as LL
import bend-osdev-crypto@0.1.0.0/modes.bend as Md
import bend-osdev-crypto@0.1.0.0/inst_cm.bend as CM

1046def cbc_rt.serpent(+k: Sp.LcSerpentKey, bs: List<&2, M.CmBlock>, +iv: M.CmBlock) -> {bs == Md.cr.cbc.dec(~Sp.LcSerpentKey, ~M.CmBlock, ~Sp.LcSerpent.decrypt, ~CM.CrBlk128.xor, k, Md.cr.cbc.enc(~Sp.LcSerpentKey, ~M.CmBlock, ~Sp.LcSerpent.encrypt, ~CM.CrBlk128.xor, k, bs, iv), iv) : List<&2, M.CmBlock>}:
1047  match bs:
1048    case Nil{}:
1049      {==}
1050    case Con{+p, t}:
1051      %Equal.sym(M.CmBlock, Sp.LcSerpent.decrypt(k, Sp.LcSerpent.encrypt(k, CM.CrBlk128.xor(p, iv))), CM.CrBlk128.xor(p, iv), LL.serpent_round_trip(k, CM.CrBlk128.xor(p, iv))) : {Con{p, t} == Con{CM.CrBlk128.xor(_, iv), Md.cr.cbc.dec(~Sp.LcSerpentKey, ~M.CmBlock, ~Sp.LcSerpent.decrypt, ~CM.CrBlk128.xor, k, Md.cr.cbc.enc(~Sp.LcSerpentKey, ~M.CmBlock, ~Sp.LcSerpent.encrypt, ~CM.CrBlk128.xor, k, t, Sp.LcSerpent.encrypt(k, CM.CrBlk128.xor(p, iv))), Sp.LcSerpent.encrypt(k, CM.CrBlk128.xor(p, iv)))} : List<&2, M.CmBlock>}
1052      %cmblock_xx(p, iv) : {Con{p, t} == Con{_, Md.cr.cbc.dec(~Sp.LcSerpentKey, ~M.CmBlock, ~Sp.LcSerpent.decrypt, ~CM.CrBlk128.xor, k, Md.cr.cbc.enc(~Sp.LcSerpentKey, ~M.CmBlock, ~Sp.LcSerpent.encrypt, ~CM.CrBlk128.xor, k, t, Sp.LcSerpent.encrypt(k, CM.CrBlk128.xor(p, iv))), Sp.LcSerpent.encrypt(k, CM.CrBlk128.xor(p, iv)))} : List<&2, M.CmBlock>}
1053      %cbc_rt.serpent(k, t, Sp.LcSerpent.encrypt(k, CM.CrBlk128.xor(p, iv))) : {Con{p, t} == Con{p, _} : List<&2, M.CmBlock>}
1054      {==}