def cbc_rt.aria

bend-osdev-crypto@0.1.0.0 · PROOF.bend:1198

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/aria.bend as Ar
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

1198def cbc_rt.aria(+k: Ar.LcAriaKey, bs: List<&2, M.CmBlock>, +iv: M.CmBlock) -> {bs == Md.cr.cbc.dec(~Ar.LcAriaKey, ~M.CmBlock, ~Ar.LcAria.decrypt, ~CM.CrBlk128.xor, k, Md.cr.cbc.enc(~Ar.LcAriaKey, ~M.CmBlock, ~Ar.LcAria.encrypt, ~CM.CrBlk128.xor, k, bs, iv), iv) : List<&2, M.CmBlock>}:
1199  match bs:
1200    case Nil{}:
1201      {==}
1202    case Con{+p, t}:
1203      %Equal.sym(M.CmBlock, Ar.LcAria.decrypt(k, Ar.LcAria.encrypt(k, CM.CrBlk128.xor(p, iv))), CM.CrBlk128.xor(p, iv), LL.aria_round_trip(k, CM.CrBlk128.xor(p, iv))) : {Con{p, t} == Con{CM.CrBlk128.xor(_, iv), Md.cr.cbc.dec(~Ar.LcAriaKey, ~M.CmBlock, ~Ar.LcAria.decrypt, ~CM.CrBlk128.xor, k, Md.cr.cbc.enc(~Ar.LcAriaKey, ~M.CmBlock, ~Ar.LcAria.encrypt, ~CM.CrBlk128.xor, k, t, Ar.LcAria.encrypt(k, CM.CrBlk128.xor(p, iv))), Ar.LcAria.encrypt(k, CM.CrBlk128.xor(p, iv)))} : List<&2, M.CmBlock>}
1204      %cmblock_xx(p, iv) : {Con{p, t} == Con{_, Md.cr.cbc.dec(~Ar.LcAriaKey, ~M.CmBlock, ~Ar.LcAria.decrypt, ~CM.CrBlk128.xor, k, Md.cr.cbc.enc(~Ar.LcAriaKey, ~M.CmBlock, ~Ar.LcAria.encrypt, ~CM.CrBlk128.xor, k, t, Ar.LcAria.encrypt(k, CM.CrBlk128.xor(p, iv))), Ar.LcAria.encrypt(k, CM.CrBlk128.xor(p, iv)))} : List<&2, M.CmBlock>}
1205      %cbc_rt.aria(k, t, Ar.LcAria.encrypt(k, CM.CrBlk128.xor(p, iv))) : {Con{p, t} == Con{p, _} : List<&2, M.CmBlock>}
1206      {==}