Several classes of polynomials with low differential uniformity over finite fields of odd characteristic

被引：7
|
作者：
Xu, Guangkui [1 ,2 ]
Cao, Xiwang [1 ,3 ]
Xu, Shanding [1 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
[2] Huainan Normal Univ, Dept Appl Math, Huainan 232038, Peoples R China
[3] Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100093, Peoples R China
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2016年 / 27卷 / 02期
关键词：
Permutation; Differentially 3-uniform function; Quadratic character; Finite fields; POWER FUNCTIONS; PERMUTATION POLYNOMIALS; BINOMIALS;
D O I：
10.1007/s00200-015-0272-5
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, two infinite classes of quadratic differentially p-uniform binomials over (n is divisible by 4 or 3) are constructed from known perfect nonlinear binomials. In particular, for , such functions are ternary differentially 3-uniform functions which are not CCZ-equivalent to known ones. In addition, two classes of permutation monomials with low differential uniformity over finite fields of odd characteristic are also provided.
引用
收藏
页码：91 / 103
页数：13
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