Further results on permutation polynomials of the form (xpm - x plus δ)s + L(x) over Fp2m

被引：15
|
作者：
Wang, Libo [1 ,2 ]
Wu, Baofeng [1 ]
Liu, Zhuojun [2 ]
机构：
[1] Chinese Acad Sci, Inst Informat Engn, SKLOIS, Beijing 100093, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2017年 / 44卷
基金：
中国国家自然科学基金;
关键词：
Finite field; Permutation polynomial; Cubic equation; Quadratic equation; FINITE-FIELDS;
D O I：
10.1016/j.ffa.2016.11.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, some classes of permutation polynomials of the form (x(pm) - x + delta)(s) + L(x) over the finite field F-p2m are investigated by determining the number of solutions of certain equations, where L(x) = x or x(pm) + x. More precisely, for an integer s satisfying s(p(m) +1) equivalent to p(m) +1 (mod p(2m) - 1), we give four classes of permutation polynomials of the form (x(2m) + x delta)(s) + x over F-22m, and five classes of permutation polynomials of the form (x(3m) - x + delta)(s) + x(3m) + x over F-32m, respectively. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：92 / 112
页数：21
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