首页|New Permutation Reversed Dickson Polynomials over Finite Fields
New Permutation Reversed Dickson Polynomials over Finite Fields
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维普
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.