On non-monimial APcN permutations over finite fields of even characteristic

05/23/2022

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by   Jaeseong Jeong, et al.

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Recently, a new concept called the c-differential uniformity was proposed by Ellingsen et al. (2020), which allows to simplify some types of differential cryptanalysis. Since then, finding functions having low c-differential uniformity has attracted the attention of many researchers. However it seems that, at this moment, there are not many non-monomial permutations having low c-differential uniformity. In this paper, we propose new classes of almost perfect c-nonlinear non-monomial permutations over a binary field.