Designs, Codes and Cryptography ( IF 1.6 ) Pub Date : 2022-07-27 , DOI: 10.1007/s10623-022-01086-4 Haode Yan, Kun Zhang
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 and Zheng (Several classes of PcN power functions over finite fields, arXiv:2104.12942) defined the c-differential spectrum of a power function. 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.
中文翻译:
关于有限域上幂函数的 c-微分谱
最近,Ellingsen 等人引入了一个称为乘法微分的新概念。受这项开创性工作的启发,构建了具有低c微分均匀性的幂函数。Wang 和 Zheng(有限域上的几类 P c N 幂函数,arXiv:2104.12942)定义了幂函数的c微分谱。在本文中,我们提出了幂函数的c微分谱的一些性质。然后我们应用这些性质来研究一些幂函数的c -微分谱。还得到了一类新的 AP c N 函数。