Several classes of PcN power functions over finite fields
Several classes of PcN power functions over finite fields
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DOI：
10.1016/j.dam.2022.08.022
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发表时间：
2021-04
期刊：
影响因子：
--
通讯作者：
Xiaoqiang Wang;Dabin Zheng
中科院分区：
文献类型：
--
作者：
Xiaoqiang Wang;Dabin Zheng
Recently, a new concept called multiplicative differential cryptanalysis and the corresponding c-differential uniformity were introduced by Ellingsen et al.(2020), and then some low differential uniformity functions were constructed. In this paper, we further study the constructions of perfect c-nonlinear (PcN) power functions. First, we give a conjecture on all power functions to be PcN over GF (2 m). Second, several classes of PcN power functions are obtained over finite fields of odd characteristic for c=− 1 and our theorems generalize some results in Bartoli and Timpanella (2020), Hasan et al.(2021) and Zha and Hu (2021). Finally, the c-differential spectrum of a class of almost perfect c-nonlinear (APcN) power functions is determined.
