Primitivity of PRESENT and other lightweight ciphers-Reference-Cited by-同舟云学术

Primitivity of PRESENT and other lightweight ciphers

Published:2018-05-23 Issue:06 Volume:17 Page:1850115
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Aragona Riccardo¹,Calderini Marco¹,Tortora Antonio²,Tota Maria²

Affiliation:

1. Dipartimento di Matematica, Università di Trento, via Sommarive 14, 38123, Povo (TN), Italy

2. Dipartimento di Matematica, Università di Salerno, via Giovanni Paolo II, 132 - 84084 - Fisciano (SA), Italy

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 [Formula: see text]-bit S-Boxes, with [Formula: see text] or [Formula: see text], 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498818501153

Reference21 articles.

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

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