Further results on permutation trinomials over finite fields with even characteristic

被引：64

作者：

Zha, Zhengbang ^{[1
,3
]}

Hu, Lei ^{[2
,4
]}

Fan, Shuqin ^{[3
]}

机构：

[1] Luoyang Normal Univ, Sch Math Sci, Luoyang 471022, Peoples R China

[2] Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100093, Peoples R China

[3] State Key Lab Cryptol, POB 5159, Beijing 100878, Peoples R China

[4] Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2017年 / 45卷

基金：

中国国家自然科学基金;

关键词：

Finite field; Permutation polynomial; Trace function; POLYNOMIALS; WELCH;

D O I：

10.1016/j.ffa.2016.11.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Permutation trinomials of the form x(r)h(x(2m)-1) over F-22m are investigated in this paper, which is a further study on a recent work of Gupta and Sharma. Based on some bijections over the unit circle of F-22m with order 2(m) + 1, the two conjectures proposed by Gupta and Sharma are confirmed and several new permutation trinomials are presented. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：43 / 52

页数：10

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