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Updated SM3中的FF2和GG2函数 (markdown)

Sun Yimin 2023-09-26 08:32:30 +08:00
parent 4aa13d1054
commit abfe1382c2
1 changed files with 5 additions and 1 deletions
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SM3中的FF2和GG2函数.md

@ -63,7 +63,11 @@ $\lnot((X \land Y \land \lnot Z) \lor (X \land Z \land \lnot Y)) \land (Y \land
= $\lnot(X \land Y \land \lnot Z) \land \lnot(X \land Z \land \lnot Y) \land (Y \land Z)$
= $(\lnot X \lor \lnot Y \lor Z) \land (\lnot X \lor \lnot Z \lor Y) \land (Y \land Z)$
= $(\lnot X \lor (\lnot X \land \lnot Z) \lor (\lnot X \land Y) \lor (\lnot X \land \lnot Y) \lor (\lnot Z \land \lnot Y) \lor (Z \land \lnot X) \lor (Z \land Y)) \land (Y \land Z)$
= $(Y \land Z)$
= $(\lnot X \lor (\lnot X \land \lnot Z) \lor (Z \land \lnot X) \lor (\lnot X \land Y) \lor (\lnot X \land \lnot Y) \lor (\lnot Z \land \lnot Y)) \land (Y \land Z) $
= $(\lnot X \lor (\lnot Z \land \lnot Y)) \land (Y \land Z)$
= $(\lnot X \lor (Z \lor Y)) \land (Y \land Z)$
= $(\lnot X \lor Z \lor Y) \land (Y \land Z)$
= $(Y \land Z$
$((X \land Y \land \lnot Z) \lor (X \land Z \land \lnot Y)) \land (\lnot Y \lor \lnot Z)$
= $(X \land Y \land \lnot Z) \lor (X \land Z \land \lnot Y)$