Journal of Combinatorics, Information & System Sciences : (A Quarterly International Scientific Journal)
Published in Association with Forum for Interdisciplinary Mathematics
Current Volume: 47 (2022 )
ISSN: 0250-9628
e-ISSN: 0976-3473
Periodicity: Quarterly
Month(s) of Publication: March, June, September & December
Subject: Mathematics
DOI: 10.32381/JCISS
Online Access is free for all life members of JCISS.
The Explicit Factorization of x 2n –? over Finite Fields
By : Sudhir Batra, Manjit Singh
Page No: 235-243
Abstract
Let Fq be a finite field of odd order q and ? be a nonzero element in Fq of the order 2k , where k ? 2. In this paper, the irreducible factorization of x 2n – ? over Fq is given in very explicit form, where integer n ? 1. It is shown that all the irreducible factors of x2n – ? over Fq are binomials.
Authors :
Manjit Singh and Sudhir Batra : Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal-131039, Sonepat, Haryana, India