Higher Order $c$-Differentials
Information Theory
2021-11-09 v1 math.IT
Abstract
EFRST20, the notion of -differentials was introduced as a potential expansion of differential cryptanalysis against block ciphers utilizing substitution boxes. Drawing inspiration from the technique of higher order differential cryptanalysis, in this paper we propose the notion of higher order -derivatives and differentials and investigate their properties. Additionally, we consider how several classes of functions, namely the multiplicative inverse function and the Gold function, perform under higher order -differential uniformity.
Cite
@article{arxiv.2111.04661,
title = {Higher Order $c$-Differentials},
author = {Aaron Geary and Marco Calderini and Constanza Riera and Pantelimon Stanica},
journal= {arXiv preprint arXiv:2111.04661},
year = {2021}
}
Comments
14 pages, to appear in International Conference on Security and Privacy, November 2021