def pcbc_rt.des

bend-osdev-crypto@0.1.0.0 · PROOF.bend:803

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/des.bend as D
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

803def pcbc_rt.des(+k: D.LcDesKey, bs: List<&2, L.LcBlock64>, +iv: L.LcBlock64) -> {bs == Pc.cr.pcbc.dec(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.decrypt, ~LC.CrBlk64.xor, k, Pc.cr.pcbc.enc(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.encrypt, ~LC.CrBlk64.xor, k, bs, iv), iv) : List<&2, L.LcBlock64>}:
804  match bs:
805    case Nil{}:
806      {==}
807    case Con{+p, t}:
808      %Equal.sym(L.LcBlock64, D.LcDes.decrypt(k, D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv))), LC.CrBlk64.xor(p, iv), LL.des_round_trip(k, LC.CrBlk64.xor(p, iv))) : {Con{p, t} == Con{LC.CrBlk64.xor(_, iv), Pc.cr.pcbc.dec(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.decrypt, ~LC.CrBlk64.xor, k, Pc.cr.pcbc.enc(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.encrypt, ~LC.CrBlk64.xor, k, t, LC.CrBlk64.xor(p, D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv)))), LC.CrBlk64.xor(LC.CrBlk64.xor(_, iv), D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv))))} : List<&2, L.LcBlock64>}
809      %lcblock64_xx(p, iv) : {Con{p, t} == Con{_, Pc.cr.pcbc.dec(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.decrypt, ~LC.CrBlk64.xor, k, Pc.cr.pcbc.enc(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.encrypt, ~LC.CrBlk64.xor, k, t, LC.CrBlk64.xor(p, D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv)))), LC.CrBlk64.xor(_, D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv))))} : List<&2, L.LcBlock64>}
810      %pcbc_rt.des(k, t, LC.CrBlk64.xor(p, D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv)))) : {Con{p, t} == Con{p, _} : List<&2, L.LcBlock64>}
811      {==}