AES durchführen
Nehmen wir an, dass der Zustand (State) folgendermaßen sei:
6A 59 CB BD
4E 48 12 A0
98 9E 30 9B
8B 3D F4 9B
Führen Sie die Mix Columns Transformation durch für das fehlende Feld (S0,3′):
15 C9 7F ??
CE 4D 4B CB
89 71 BE 86
65 47 97 CA
MTAwMDAw:Qdk4LE8LlsSu0bxIyc5zG7l97CdyC+X6vuNTdy069zc=:taFDi0ig46IF1se6: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