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arXiv · 1205.5613

A simplified and generalized treatment of DES related ciphers

Liljana Babinkostova·Alyssa M. Bowden·Andrew M. Kimball·Kameryn J. Williams
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Abstract

This work is a study of DES-like ciphers where the bitwise exclusive-or (XOR) operation in the underlying Feistel network is replaced by an arbitrary group operation. We construct a two round simplified version of DES that contains all the DES components and show that its set of encryption permutations is not a group under functional composition, it is not a pure cipher and its set of encryption permutations does not generate the alternating group. We present a non-computational proof that for n\leq6 the set of n-round Feistel permutations over an arbitrary group do not constitute a group under functional composition.

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Liljana Babinkostova, Alyssa M. Bowden, Andrew M. Kimball, Kameryn J. Williams. 2012-06-04. A simplified and generalized treatment of DES related ciphers. https://arxiv.org/abs/1205.5613

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