Investigations on $c$-(almost) perfect nonlinear functions

Sihem Mesnager; Constanza Riera; Pantelimon Stanica; Haode Yan; Zhengchun Zhou

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arXiv · 2010.10023

Investigations on $c$-(almost) perfect nonlinear functions

Sihem Mesnager·Constanza Riera·Pantelimon Stanica·Haode Yan·Zhengchun Zhou

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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 $c$-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 $c$-differential uniformity increases significantly, in some cases.

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Sihem Mesnager, Constanza Riera, Pantelimon Stanica, Haode Yan, Zhengchun Zhou. 2020-10-19. Investigations on $c$-(almost) perfect nonlinear functions. https://arxiv.org/abs/2010.10023

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