International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 42818, 6 pages
Department of Mathematics, The Pennsylvania State University, New Kensington Campus, New Kensington 15068, PA, USA
Received 6 March 2006; Accepted 26 March 2006
Copyright © 2006 Javier Gomez-Calderon. 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.
denote the finite field of order
characteristic . For , let
Dickson polynomial of degree
defined by . Let
denote a monic
polynomial with coefficients in . Assume that
is not a perfect square and . Also assume that
are not of the form . In this note, we show that the polynomial
is absolutely irreducible.