International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 16, Pages 2631-2640
On some permutation polynomials over finite fields
1Department of Mathematics and Computer Science, University of Lethbridge, 4401 University Drive West, AB, Lethbridge T1K 3M4, Canada
2School of Mathematics and Statistics, Carleton University, ON, Ottawa K1S 5B6, Canada
Received 8 March 2005; Revised 5 May 2005
Copyright © 2005 Amir Akbary and Qiang Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let be prime, , and . We completely describe
the permutation behavior of the binomial () over a finite field in terms of
the sequence defined by the recurrence relation () with initial values , , and .