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arXiv · 1611.01346

On the primitivity of PRESENT and other lightweight ciphers

Riccardo Aragona·Marco Calderini·Antonio Tortora·Maria Tota
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Abstract

We provide two sufficient conditions to guarantee that the round functions of a translation based cipher generate a primitive group. Furthermore, under the same hypotheses, and assuming that a round of the cipher is strongly proper and consists of m-bit S-Boxes, with m = 3; 4 or 5, we prove that such a group is the alternating group. As an immediate consequence, we deduce that the round functions of some lightweight translation based ciphers, such as the PRESENT cipher, generate the alternating group.

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Riccardo Aragona, Marco Calderini, Antonio Tortora, Maria Tota. 2016-11-04. On the primitivity of PRESENT and other lightweight ciphers. https://doi.org/10.1142/s0219498818501153

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