The compositional inverses of three classes of permutation polynomials over finite fields

IF 1.2 3区数学 Q1 MATHEMATICS

Finite Fields and Their Applications Pub Date : 2024-10-21 DOI:10.1016/j.ffa.2024.102523

Danyao Wu , Pingzhi Yuan , Huanhuan Guan , Juan Li

引用次数: 0

Abstract

R. Gupta, P. Gahlyan and R.K. Sharma presented three classes of permutation trinomials over

F_{q^{3}}

in Finite Fields and Their Applications. In this paper, we employ the local method to prove that those polynomials are indeed permutation polynomials and provide their compositional inverses.

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有限域上三类置换多项式的合成逆

R.Gupta、P. Gahlyan 和 R.K. Sharma 在《有限域及其应用》中提出了三类 Fq3 上的置换三项式。在本文中，我们采用局部方法证明了这些多项式确实是置换多项式，并提供了它们的组成倒数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Finite Fields and Their Applications 数学-数学

CiteScore

2.00

自引率

20.00%

发文量

133

审稿时长

6-12 weeks

期刊介绍： Finite Fields and Their Applications is a peer-reviewed technical journal publishing papers in finite field theory as well as in applications of finite fields. As a result of applications in a wide variety of areas, finite fields are increasingly important in several areas of mathematics, including linear and abstract algebra, number theory and algebraic geometry, as well as in computer science, statistics, information theory, and engineering. For cohesion, and because so many applications rely on various theoretical properties of finite fields, it is essential that there be a core of high-quality papers on theoretical aspects. In addition, since much of the vitality of the area comes from computational problems, the journal publishes papers on computational aspects of finite fields as well as on algorithms and complexity of finite field-related methods. The journal also publishes papers in various applications including, but not limited to, algebraic coding theory, cryptology, combinatorial design theory, pseudorandom number generation, and linear recurring sequences. There are other areas of application to be included, but the important point is that finite fields play a nontrivial role in the theory, application, or algorithm.