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On the Security of Generalized Feistel Scheme with SP Round Function

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This paper studies the security against differential/linear cryptanalysis and the pseudorandomness of a class of generalized Feistel scheme with SP round function called GFSP. We consider the minimum number of active s-boxes in four, eight and sixteen consecutive rounds of GFSP, which provide the upper bound of the maxi-mum differential/linear probabilities of 16-round GFSP scheme, in order to evaluate the strength against differential/linear cryptanalysis. Furthermore, we point out seven rounds GFSP is not pseudorandom for non-adaptive adversary, and prove that eight rounds GFSP is pseudorandom for any adversaries.

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