International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 4, Pages 197-200
Constructing irreducible polynomials with prescribed level curves over finite fields
1The Institute of Mathematics at Bucharest, P.O. Box 1-764, RO-70700, Romania
2Department of Mathematics, Ohio Northern University, Ada 45810, OH, USA
Received 14 January 2001; Revised 28 March 2001
Copyright © 2001 Mihai Caragiu. 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.
We use Eisenstein's irreducibility criterion to prove that there
exists an absolutely irreducible polynomial with coefficients in the finite field with elements, with prescribed level curves .