有限域上一类复合对合多项式的存在性  

The Existence for A Class of Composite Involution Polynomials Over Finite Fields

作　　者：张召辉 廖群英 Zhao Hui ZHANG;Qun Ying LIAO(School of Mathematical Sciences,Sichuan Normal University,Chengdu 610066,P.R.China)

机构地区：[1]四川师范大学数学科学学院,成都610066

出　　处：《数学学报（中文版）》2023年第1期173-180,共8页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(12071321)。

摘　　要：本文作者在2021年给出了有限域上两个对合多项式的复合多项式也是对合多项式的充要条件.由于对合多项式是一类特殊的置换多项式,本文基于多项式的不动点集合与非不动点集合的关系,得到F_(q)上对合多项式与置换多项式复合后也是对合的充要条件.In 2021,Zhang and Liao gave a necessary and sufficient condition for that the composite polynomial of two involution polynomials over finite fields is also an involution polynomial.Since the involution polynomial is a special class of permutation polynomials,based on the relationship between the sets of fixed points and non-fixed points of polynomials,we obtain a necessary and sufficient condition for the composition of an involution polynomial and a permutation polynomial to be involuted.

关 键 词：置换多项式 对合多项式 不动点 非不动点 

分 类 号：O153.4[理学—数学]