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.
@article{arxiv.2201.06172,
title = {On the c-differential spectrum of power functions over finite fields},
author = {K. Zhang and H. D. Yan},
journal= {arXiv preprint arXiv:2201.06172},
year = {2022}
}