Further results on differentially 4-uniform permutations over F2^2m  

作　　者：ZHA ZhengBang HU Lei SUN SiWei SHAN JinYong 

机构地区：[1]School of Mathematical Sciences, Luoyang Normal University [2]State Key Laboratory of Information Security, Institute of Information Engineering,Chinese Academy of Sciences [3]Beijing Center for Mathematics and Information Interdisciplinary Sciences

出　　处：《Science China Mathematics》2015年第7期1577-1588,共12页中国科学：数学（英文版）

基　　金：supported by National Basic Research Programme of China(Grant No.2013CB834203);National Natural Science Foundation of China(Grant Nos.11201214 and 61472417);the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDA06010702)

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.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.

关 键 词：PERMUTATION differentially 4-uniform function NONLINEARITY algebraic degree 

分 类 号：O174[理学—数学]