arXiv subjects

R. Aragona

Publications and source records attributed to R. Aragona.

3 recordsLinked to original sources

arXiv2016

On weak differential uniformity of vectorial Boolean functions as a cryptographic criterion

We study the relation among some security parameters for vectorial Boolean functions which prevent attacks on the related block cipher. We focus our study on a recently-introduced security criterion, called weak differential uniformity, which prevents the existence of an undetectable trapdoor based on imprimitive group action. We present some properties of functions with low weak differential uniformity, especially for the case of power functions and 4-bit S-Boxes.

cs.CR↗

arXiv2015

The group generated by the round functions of a GOST-like cipher

We define a cipher that is an extension of GOST, and study the permutation group generated by its round functions. We show that, under minimal assumptions on the components of the cipher, this group is the alternating group on the plaintext space. This we do by first showing that the group is primitive, and then applying the O'Nan-Scott classification of primitive groups.

math.GR↗

arXiv2013

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

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.

math.GR↗