On necessary and sufficient conditions for the construction of super pseudorandom permutations

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Abstract

In this paper, we present the necessary and sufficient conditions for super pseudorandomness of DES-like permutations. We show that four rounds of such permutations with a single random function is not super psuedorandom and we present a distinguishing circuit for ψ(f2, f, f, f) and another circuit for ψ(fl, fk, fj, fi). Then, we investigate the necessary and sufficient conditions for super pseudorandomness of type-1 Feistel type transformations, and we show that k2 rounds of this transformation is super pseudorandom.

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Saxieghiyan, B., & Pieprzyk, J. (1993). On necessary and sufficient conditions for the construction of super pseudorandom permutations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 739 LNCS, pp. 194–209). Springer Verlag. https://doi.org/10.1007/3-540-57332-1_16

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