论文标题

在有限特征的有限磁场上的非公主APCN排列

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

论文作者

Jeong, Jaeseong, Koo, Namhun, Kwon, Soonhak

论文摘要

最近,Ellingsen等人提出了一个名为$ c $ - 不同的统一性的新概念。 (2020),可以简化某些类型的差分密码分析。从那时起,找到具有低$ C $差异均匀性的功能引起了许多研究人员的关注。然而,目前似乎没有太多的非公共排列具有低$ c $差异的均匀性。在本文中,我们提出了几乎完美的$ c $ - nonlinelear非公主排列的新类别。

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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