def pcbc_rt.sm4

bend-osdev-crypto@0.1.0.0 · PROOF.bend:909

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/sm4.bend as S
import bend-osdev-legacy-ciphers@0.1.0.0/LAWS.bend as LL
import bend-osdev-crypto@0.1.0.0/pcbc.bend as Pc
import bend-osdev-crypto@0.1.0.0/inst_cm.bend as CM

909def pcbc_rt.sm4(+k: S.LcSm4Key, bs: List<&2, M.CmBlock>, +iv: M.CmBlock) -> {bs == Pc.cr.pcbc.dec(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.decrypt, ~CM.CrBlk128.xor, k, Pc.cr.pcbc.enc(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.encrypt, ~CM.CrBlk128.xor, k, bs, iv), iv) : List<&2, M.CmBlock>}:
910  match bs:
911    case Nil{}:
912      {==}
913    case Con{+p, t}:
914      %Equal.sym(M.CmBlock, S.LcSm4.decrypt(k, S.LcSm4.encrypt(k, CM.CrBlk128.xor(p, iv))), CM.CrBlk128.xor(p, iv), LL.sm4_round_trip(k, CM.CrBlk128.xor(p, iv))) : {Con{p, t} == Con{CM.CrBlk128.xor(_, iv), Pc.cr.pcbc.dec(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.decrypt, ~CM.CrBlk128.xor, k, Pc.cr.pcbc.enc(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.encrypt, ~CM.CrBlk128.xor, k, t, CM.CrBlk128.xor(p, S.LcSm4.encrypt(k, CM.CrBlk128.xor(p, iv)))), CM.CrBlk128.xor(CM.CrBlk128.xor(_, iv), S.LcSm4.encrypt(k, CM.CrBlk128.xor(p, iv))))} : List<&2, M.CmBlock>}
915      %cmblock_xx(p, iv) : {Con{p, t} == Con{_, Pc.cr.pcbc.dec(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.decrypt, ~CM.CrBlk128.xor, k, Pc.cr.pcbc.enc(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.encrypt, ~CM.CrBlk128.xor, k, t, CM.CrBlk128.xor(p, S.LcSm4.encrypt(k, CM.CrBlk128.xor(p, iv)))), CM.CrBlk128.xor(_, S.LcSm4.encrypt(k, CM.CrBlk128.xor(p, iv))))} : List<&2, M.CmBlock>}
916      %pcbc_rt.sm4(k, t, CM.CrBlk128.xor(p, S.LcSm4.encrypt(k, CM.CrBlk128.xor(p, iv)))) : {Con{p, t} == Con{p, _} : List<&2, M.CmBlock>}
917      {==}