Investigations on c-(Almost) Perfect Nonlinear Functions
Sihem Mesnager, Constanza Riera, Pantelimon Stănică, Haode Yan, Zhengchun Zhou · IEEE Transactions on Information Theory · 2021
In a prior paper (Ellingsenet al., 2020), two of us, along with P. Ellingsen, P. Felke, and A. Tkachenko, defined 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.