首页|New Permutation Reversed Dickson Polynomials over Finite Fields

New Permutation Reversed Dickson Polynomials over Finite Fields

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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 crite-rion,we study the permutational properties of the reversed Dickson polynomials Dn,k(1,x)over finite fields in the case of n=mps 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=2ps,or n=3ps,or n=4ps.

permutation polynomialreversed Dickson polynomialHermite's criterion

Kaimin Cheng

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School of Mathematics and Information,China West Normal University Nanchong,Sichuan 637009,China

National Natural Science Foundation of ChinaChina's Central Government Funds for Guiding Local Scientific and Technological Development

122263352021ZYD0013

2023

代数集刊(英文版)

代数集刊(英文版)

CSCD北大核心
ISSN:1005-3867
年,卷(期):2023.30(1)
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