AES durchführen
Nehmen wir an, dass der Zustand (State ) folgendermaßen sei:
[ 6 A 59 C B B D 4 E 48 12 A 0 98 9 E 30 9 B 8 B 3 D F 4 9 B ] \begin{bmatrix}
\mathtt{6A} & \mathtt{59} & \mathtt{CB} & \mathtt{BD}\\
\mathtt{4E} & \mathtt{48} & \mathtt{12} & \mathtt{A0}\\
\mathtt{98} & \mathtt{9E} & \mathtt{30} & \mathtt{9B}\\
\mathtt{8B} & \mathtt{3D} & \mathtt{F4} & \mathtt{9B}
\end{bmatrix} 6A 4E 98 8B 59 48 9E 3D CB 12 30 F4 BD A0 9B 9B Führen Sie die MixColumns -Transformation durch für das fehlende Feld (S 0 , 3 ′ S'_{0,3} S 0 , 3 ′ ):
[ 15 C 9 7 F ? ? C E 4 D 4 B C B 89 71 B E 86 65 47 97 C A ] \begin{bmatrix}
\mathtt{15} & \mathtt{C9} & \mathtt{7F} & \boxed{??}\\
\mathtt{CE} & \mathtt{4D} & \mathtt{4B} & \mathtt{CB}\\
\mathtt{89} & \mathtt{71} & \mathtt{BE} & \mathtt{86}\\
\mathtt{65} & \mathtt{47} & \mathtt{97} & \mathtt{CA}
\end{bmatrix} 15 CE 89 65 C9 4D 71 47 7F 4B BE 97 ?? CB 86 CA MTAwMDAw:r6MqRcLjNwV9ZlHGn64hnoF+2IxuYmWQsfEVuRRGX0M=:nqIwemtyfU7Iyc/+: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