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.

翻译：最近,Ellingsen等人(2020年)提出了一个新的概念,称为“美元差异统一”概念,它简化了某些类型的不同加密分析,从那时起,发现功能的金额差异性差引起了许多研究人员的注意,然而,目前似乎没有多少非宗派性差异的金额差异性差(美元差异性差)概念。在本文中,我们提出了在二元领域上几乎完美无缺的非门类非门类非门类非门类差异的新概念。