Reversed Dickson polynomials of the (k+1)-th kind over finite fields

Abstract

We discuss the properties and the permutation behaviour of the reversed Dickson polynomials of the $(k+1)$-th kind $D_{n,k}(1,x)$ over finite fields. The results in this paper unify and generalize several recently discovered results on reversed Dickson polynomials over finite fields.

arXiv comment20 pages