On constructing permutations of finite fields

Authors:
Amir Akbary;Dragos Ghioca;Qiang Wang
Affiliations:
Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, AB T1K 3M4, Canada;Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada;School of Mathematics and Statistics, Carleton University, Ottawa, ON K1S 5B6, Canada
Venue:
Finite Fields and Their Applications
Year:
2011

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Abstract

Motivated by several constructions of permutation polynomials done by several authors (most notably by Zieve), we propose a unified treatment for a large set of classes of permutation polynomials of F"q. Our approach yields a recipe for constructing several new and old classes of permutation polynomials of F"q.