On differential spectra of involutions with low differential uniformity over finite fields with even characteristic

被引：0
|
作者：
Liu, Guoqiang [1 ]
Jiang, Sha [1 ]
Li, Kangquan [1 ]
机构：
[1] Natl Univ Def Technol, Changsha 410073, Peoples R China
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2024年
关键词：
Differential spectrum; Differential uniformity; Permutation; Involution; 4-UNIFORM PERMUTATIONS; CONSTRUCTIONS;
D O I：
10.1007/s00200-024-00646-6
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we determine the differential spectra of two known classes of involutions with low differential uniformity over finite fields with even characteristic completely. The key point of our method is that we propose several new definitions called special and ordinary points. In addition, it is interesting that one of our differential spectra is relative to the well-known Kloosterman sum.
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页数：18
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