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I'm reviewing some questions given to me by a professor and am stumped on this one. My initial guess is that yes, this is possible, but I do not know how to explain it, specifically for a function $\{0,1\}^8\to \{0,1\}^6$. Any help would be appreciated!

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DES is a Feistel cipher that doesn't require the $F$ function to be reversible, where the S-Boxes are used. DES has a non-reversible $F$ function in which the 8 S-boxes $S:\{0,1\}^6\to \{0,1\}^4$ is used.

AES is based on Susbstition Permutation Network (SPN) where everything must be reversible. AES is using S-boxes $S:\{0,1\}^8\to \{0,1\}^8$. Therefore it is not possible to use the DES Sboxes in the AES.

Besides the functionality, even if we could interchange them, that would require to analyze, too.

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