More constructions of APN and differentially 4-uniform functions by concatenation

被引：0
作者：
Claude Carlet
机构：
[1] University of Paris 13,LAGA
[2] CNRS (UMR 7539),Department of Mathematics
[3] University of Paris 8,undefined
来源：
Science China Mathematics | 2013年 / 56卷
关键词：
block cipher; vectorial function; substitution box; almost perfect nonlinear; almost bent; 11T71; 06E30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study further the method of concatenating the outputs of two functions for designing an APN or a differentially 4-uniform (n, n)-function for every even n. We deduce several specific constructions of APN or differentially 4-uniform (n, n)-functions from APN and differentially 4-uniform (n/2, n/2)-functions. We also give a construction of quadratic APN functions which includes as particular cases a previous construction by the author and a more recent construction by Pott and Zhou.
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页码：1373 / 1384
页数：11
相关论文
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