Necessary conditions for reversed Dickson polynomials to be permutational

Authors:
Xiang-Dong Hou;Tue Ly
Affiliations:
Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, United States;Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, United States
Venue:
Finite Fields and Their Applications
Year:
2010

Citing 6
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Abstract

We give several necessary conditions for the reversed Dickson polynomial D"n(1,x) to be a permutation of F"q. In particular, we give explicit evaluation of @?"a"@?"F"""qD"n(1,a)^i for i=1,2.