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Investigations on $c$-(almost) perfect nonlinear functions (2010.10023v2)
Published 19 Oct 2020 in cs.IT, math.IT, and math.NT
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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