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. © 2013 Elsevier Inc.

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

Aragona, R.;CARANTI, Andrea;Sala, M.
2014

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. © 2013 Elsevier Inc.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/123497
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