Investigations on $c$-(almost) perfect nonlinear functions
Information Theory
2021-03-23 v2 math.IT
Number Theory
Abstract
In a prior paper \cite{EFRST20}, two of us, along with P. Ellingsen, P. Felke and A. Tkachenko, 1defined a new (output) multiplicative differential, and the corresponding -differential uniformity, which has the potential of extending differential cryptanalysis. Here, we continue the work, by looking at some APN functions through the mentioned concept and showing that their -differential uniformity increases significantly, in some cases.
Keywords
Cite
@article{arxiv.2010.10023,
title = {Investigations on $c$-(almost) perfect nonlinear functions},
author = {Sihem Mesnager and Constanza Riera and Pantelimon Stanica and Haode Yan and Zhengchun Zhou},
journal= {arXiv preprint arXiv:2010.10023},
year = {2021}
}
Comments
19 pages. arXiv admin note: text overlap with arXiv:2003.13019