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

来源：

Science China(Mathematics) | 2015年 / 58卷 / 07期

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

页码：1577 / 1588

页数：12

共 25 条

[1] Further results on differentially 4-uniform permutations over
Zha ZhengBang
Hu Lei
Sun Siwei
Shan JinYong
SCIENCE CHINA-MATHEMATICS, 2015, 58 (07) : 1577 - 1588
[2] A new family of differentially 4-uniform permutations over F(22k) for odd k
PENG Jie
TAN ChikHow
WANG QiChun
Science China(Mathematics), 2016, 59 (06) : 1221 - 1234
[3] Constructing differentially 4-uniform permutations over GF(22m) from quadratic APN permutations over GF(22m+1)
Yongqiang Li
Mingsheng Wang
Designs, Codes and Cryptography, 2014, 72 : 249 - 264
[4] Constructing differentially 4-uniform permutations over GF(22m ) from quadratic APN permutations over GF(22m+1)
Li, Yongqiang
Wang, Mingsheng
DESIGNS CODES AND CRYPTOGRAPHY, 2014, 72 (02) : 249 - 264
[5] New secondary constructions of differentially 4-uniform permutations over F22k
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Tan, Chik How
Wang, Qichun
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2017, 94 (08) : 1670 - 1693
[6] A method of construction of differentially 4-uniform permutations over Vm for even m
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DISCRETE MATHEMATICS AND APPLICATIONS, 2021, 31 (06) : 383 - 388
[7] A new family of differentially 4-uniform permutations over for odd k
Peng Jie
Tan Chik How
Wang QiChun
SCIENCE CHINA-MATHEMATICS, 2016, 59 (06) : 1221 - 1234
[8] TWO CLASSES OF DIFFERENTIALLY 4-UNIFORM PERMUTATIONS OVER F2n WITH n EVEN
Xu, Guangkui
Qu, Longjiang
ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2020, 14 (01) : 97 - 110
[9] Involutory differentially 4-uniform permutations from known constructions
Shihui Fu
Xiutao Feng
Designs, Codes and Cryptography, 2019, 87 : 31 - 56
[10] Involutory differentially 4-uniform permutations from known constructions
Fu, Shihui
Feng, Xiutao
DESIGNS CODES AND CRYPTOGRAPHY, 2019, 87 (01) : 31 - 56

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