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Explicit factorization of X(2m)p(n)-1 over a finite field

Author:
Chen, Bocong  Li, Liangchen  Tuerhong, Rouziwanguli  


Journal:
FINITE FIELDS AND THEIR APPLICATIONS


Issue Date:
2013


Abstract(summary):

Let F-q be a finite field of odd order q and m, n be positive integers. In this paper, the irreducible factorization of X-2m P-n - 1 over Fq is given in a very explicit form, where p is an odd prime divisor of q-1. It is shown that all the irreducible factors of (XPn)-P-2m - 1 over F-q are either binomials or trinomials. (C) 2013 Elsevier Inc. All rights reserved.


Page:
95---104


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