More classes of permutation trinomials with Niho exponents

被引：17

作者：

Deng, Huali ^{[1
]}

Zheng, Dabin ^{[1
]}

机构：

[1] Hubei Univ, Fac Math & Comp Sci, Hubei Prov Key Lab Appl Math, Wuhan 430062, Hubei, Peoples R China

来源：

CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2019年 / 11卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Finite field; Permutation polynomial; Niho exponent; POLYNOMIALS;

D O I：

10.1007/s12095-018-0284-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper presents two classes of permutation trinomials with the form xs(2m-1)+1+xt(2m-1)+1+x over the finite field ?22m as a supplement of the recent works of Li and Helleseth, and a class of permutation trinomials like this form over ?32m. Moreover, we give a method to construct permutation polynomials from known ones.

引用

页码：227 / 236

页数：10

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