New Permutation Reversed Dickson Polynomials over Finite Fields  

作　　者：Kaimin Cheng 

机构地区：[1]School of Mathematics and Information,China West Normal University Nanchong,Sichuan 637009,China

出　　处：《Algebra Colloquium》2023年第1期111-120,共10页代数集刊（英文版）

基　　金：supported by National Natural Science Foundation of China(No.12226335);by China's Central Government Funds for Guiding Local Scientific and Technological Development(No.2021ZYD0013).

摘　　要：Let p be an odd prime,and n,k be nonnegative integers.Let Dn,k(1,x)be the reversed Dickson polynomial of the(k+1)-th kind.In this paper,by using Hermite's criterion,we study the permutational properties of the reversed Dickson polynomials Dn,k(1,x)over finite fields in the case of n=mp* with 0<m<p-1.In particular,we provide some precise characterizations for Dn,k(1,x)being permutation polynomials over finite fields with characteristic p when n=2p^(s),or n=3p^(s),or n=4p^(s).

关 键 词：permutation polynomial reversed Dickson polynomial Hermite's criterion 

分 类 号：O17[理学—数学]