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In a prior paper \cite{EFRST20}, two of us, along with P. Ellingsen, P. Felkeand A. Tkachenko, 1defined a new (output) multiplicative differential, and thecorresponding $c$-differential uniformity, which has the potential of extendingdifferential cryptanalysis. Here, we continue the work, by looking at some APNfunctions through the mentioned concept and showing that their $c$-differentialuniformity increases significantly, in some cases.

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