On a class of permutation rational functions involving trace maps

被引：0
作者：
Ruikai Chen
Sihem Mesnager
机构：
[1] University of Paris VIII,Department of Mathematics
[2] University Sorbonne Paris Nord,Laboratory Analysis, Geometry and Applications, LAGA
[3] CNRS,undefined
[4] UMR 7539,undefined
[5] Telecom Paris,undefined
[6] Polytechnic Institute of Paris,undefined
来源：
Designs, Codes and Cryptography | 2024年 / 92卷
关键词：
Finite field; Extension field; Polynomial; Permutation; Rational function; 11T06; 14H05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Permutation rational functions over finite fields have attracted high interest in recent years. However, only a few of them have been exhibited. This article studies a class of permutation rational functions constructed using trace maps on extensions of finite fields, especially for the cases of quadratic and cubic extensions. Our achievements are obtained by investigating absolute irreducibility of some polynomials in two indeterminates.
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页码：1327 / 1339
页数：12
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