论文标题

在有限场上的幂函数的C-差异频谱上

On the c-differential spectrum of power functions over finite fields

论文作者

Zhang, K., Yan, H. D.

论文摘要

最近,Ellingsen等人引入了一个称为乘法差异的新概念。受这项开创性工作的启发,构建了低C分化均匀性的功率函数。 Wang等。定义了功率函数的C-差异频谱[27]。在本文中,我们介绍了功率函数的C分化光谱的一些属性。然后,我们应用这些属性来研究某些功率函数的C分化光谱。还获得了新的APCN功能。

Recently, a new concept called multiplicative differential was introduced by Ellingsen et al. Inspired by this pioneering work, power functions with low c-differential uniformity were constructed. Wang et al. defined the c-differential spectrum of a power function [27]. In this paper, we present some properties of the c-differential spectrum of a power function. Then we apply these properties to investigate the c-differential spectra of some power functions. A new class of APcN function is also obtained.

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