Further results on differentially 4-uniform permutations over F22m

被引:4
作者
ZHA ZhengBang [1 ,2 ]
HU Lei [2 ,3 ]
SUN SiWei [2 ]
SHAN JinYong [2 ]
机构
[1] School of Mathematical Sciences, Luoyang Normal University
[2] State Key Laboratory of Information Security, Institute of Information Engineering,Chinese Academy of Sciences
基金
中国国家自然科学基金;
关键词
permutation; differentially 4-uniform function; nonlinearity; algebraic degree;
D O I
暂无
中图分类号
O174 [函数论];
学科分类号
070104 ;
摘要
We present several new constructions of differentially 4-uniform permutations over F22 mby modifying the values of the inverse function on some subsets of F22 m. The resulted differentially 4-uniform permutations have high nonlinearities and algebraic degrees, which provide more choices for the design of crytographic substitution boxes.
引用
收藏
页码:1577 / 1588
页数:12
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