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

Jaeseong Jeong; Namhun Koo; Soonhak Kwon

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arXiv · 2205.11418

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

Jaeseong Jeong·Namhun Koo·Soonhak Kwon

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Abstract

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.

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Jaeseong Jeong, Namhun Koo, Soonhak Kwon. 2022-05-23. On non-monomial APcN permutations over finite fields of even characteristic. https://arxiv.org/abs/2205.11418

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