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

被引：0
作者：
Haode Yan
Kun Zhang
机构：
[1] Southwest Jiaotong University,School of Mathematics
来源：
Designs, Codes and Cryptography | 2022年 / 90卷
关键词：
-differential uniformity; Almost perfect ; -nonlinear; -differential spectrum; 11T71; 94A60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：2385 / 2405
页数：20
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