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arXiv · 1305.1821

On the group generated by the round functions of translation based ciphers over arbitrary finite fields

R. Aragona·A. Caranti·F. Dalla Volta·M. Sala
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Abstract

We define a translation based cipher over an arbitrary finite field, and study the permutation group generated by the round functions of such a cipher. We show that under certain cryptographic assumptions this group is primitive. Moreover, a minor strengthening of our assumptions allows us to prove that such a group is the symmetric or the alternating group; this improves upon a previous result for the case of characteristic two.

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R. Aragona, A. Caranti, F. Dalla Volta, M. Sala. 2013-05-08. On the group generated by the round functions of translation based ciphers over arbitrary finite fields. https://doi.org/10.1016/j.ffa.2013.10.005

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