def pcbc_rt.tdes

bend-osdev-crypto@0.1.0.0 · PROOF.bend:856

import Base
import bend-osdev-legacy-ciphers@0.1.0.0/legacy_ciphers.bend as L
import bend-osdev-legacy-ciphers@0.1.0.0/tdes.bend as T
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_lc.bend as LC

856def pcbc_rt.tdes(+k: T.LcTdesKey, bs: List<&2, L.LcBlock64>, +iv: L.LcBlock64) -> {bs == Pc.cr.pcbc.dec(~T.LcTdesKey, ~L.LcBlock64, ~T.LcTdes.decrypt, ~LC.CrBlk64.xor, k, Pc.cr.pcbc.enc(~T.LcTdesKey, ~L.LcBlock64, ~T.LcTdes.encrypt, ~LC.CrBlk64.xor, k, bs, iv), iv) : List<&2, L.LcBlock64>}:
857  match bs:
858    case Nil{}:
859      {==}
860    case Con{+p, t}:
861      %Equal.sym(L.LcBlock64, T.LcTdes.decrypt(k, T.LcTdes.encrypt(k, LC.CrBlk64.xor(p, iv))), LC.CrBlk64.xor(p, iv), LL.tdes_round_trip(k, LC.CrBlk64.xor(p, iv))) : {Con{p, t} == Con{LC.CrBlk64.xor(_, iv), Pc.cr.pcbc.dec(~T.LcTdesKey, ~L.LcBlock64, ~T.LcTdes.decrypt, ~LC.CrBlk64.xor, k, Pc.cr.pcbc.enc(~T.LcTdesKey, ~L.LcBlock64, ~T.LcTdes.encrypt, ~LC.CrBlk64.xor, k, t, LC.CrBlk64.xor(p, T.LcTdes.encrypt(k, LC.CrBlk64.xor(p, iv)))), LC.CrBlk64.xor(LC.CrBlk64.xor(_, iv), T.LcTdes.encrypt(k, LC.CrBlk64.xor(p, iv))))} : List<&2, L.LcBlock64>}
862      %lcblock64_xx(p, iv) : {Con{p, t} == Con{_, Pc.cr.pcbc.dec(~T.LcTdesKey, ~L.LcBlock64, ~T.LcTdes.decrypt, ~LC.CrBlk64.xor, k, Pc.cr.pcbc.enc(~T.LcTdesKey, ~L.LcBlock64, ~T.LcTdes.encrypt, ~LC.CrBlk64.xor, k, t, LC.CrBlk64.xor(p, T.LcTdes.encrypt(k, LC.CrBlk64.xor(p, iv)))), LC.CrBlk64.xor(_, T.LcTdes.encrypt(k, LC.CrBlk64.xor(p, iv))))} : List<&2, L.LcBlock64>}
863      %pcbc_rt.tdes(k, t, LC.CrBlk64.xor(p, T.LcTdes.encrypt(k, LC.CrBlk64.xor(p, iv)))) : {Con{p, t} == Con{p, _} : List<&2, L.LcBlock64>}
864      {==}