Permutation polynomials of the form xrh(xq−1) over Fq2 with even characteristics

IF 1.2 3区数学 Q1 MATHEMATICS Finite Fields and Their Applications Pub Date : 2025-02-14 DOI:10.1016/j.ffa.2025.102594

Amritanshu Rai, Rohit Gupta

引用次数: 0

Abstract

Let r be a positive integer, q be a prime power and

F_{q}

be the finite field of order q. In this paper, we investigate six classes of permutation polynomials of the form

x^{r} h (x^{q - 1})

over

F_{q^{2}}

with q even, for specific values of r and for some choices of

h (x) \in F_{q} [x]

. One of them is a generalization of a known class of permutation polynomials, while another two deal with some open problems.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

求助全文

约1分钟内获得全文去求助

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.

期刊最新文献

Permutation polynomials of the form xrh(xq−1) over Fq2 with even characteristics Some results on linear subspace codes Four families of q-ary self-orthogonal codes via the defining-set construction On the construction of nonbinary LCD quadratic residue and double quadratic residue codes Homogenization of binary linear codes and their applications