Generalized Lucas polynomials over finite fields

被引：2

作者：

Li, Lisha ^{[1
]}

Wang, Qiang ^{[2
]}

Zeng, Xiangyong ^{[1
]}

机构：

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

[2] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2023年 / 89卷

关键词：

Finite field; Permutation polynomial; Dickson polynomial; Generalized Lucas polynomial; DICKSON POLYNOMIALS; PERMUTATION POLYNOMIALS; TRINOMIALS; BEHAVIOR; KIND;

D O I：

10.1016/j.ffa.2023.102207

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give necessary and sufficient conditions on n for the unsigned and signed generalized Lucas polynomials fn(x) and gn(x) being permutations over the prime field. Moreover, the permutation behaviours of these polynomials over non-prime fields are also discussed.(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：27

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