Differential uniformity of the composition of two functions

被引：4
作者：
Shuai, Li [1 ]
Wang, Lina [1 ]
Miao, Li [1 ]
Zhou, Xianwei [1 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Comp & Commun Engn, Beijing 100083, Peoples R China
来源：
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2020年 / 12卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Differential uniformity; APN functions; CL-APN functions; Boolean matrix; APN FUNCTIONS;
D O I：
10.1007/s12095-019-00382-6
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we study the differential uniformity of the composition of two functions with the help of Boolean matrix theory. Based on the result of our research, we can construct new differentially 4-uniform permutations from known ones. In addition, we find some clues about the existence of APN permutations of F2nfor even n >= 8.
引用
收藏
页码：205 / 220
页数：16
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