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.
|Titolo:||Primitivity of PRESENT and other lightweight ciphers|
|Data di pubblicazione:||2017|
|Appare nelle tipologie:||1.1 Articolo in rivista|