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

K. Zhang; H. D. Yan

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arXiv · 2201.06172

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

K. Zhang·H. D. Yan

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Abstract

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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K. Zhang, H. D. Yan. 2022-01-17. On the c-differential spectrum of power functions over finite fields. https://arxiv.org/abs/2201.06172

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