Some Properties of Generalized Self-reciprocal Polynomials over Finite Fields
Number Theory
2014-07-02 v3 Information Theory
math.IT
Rings and Algebras
Abstract
Numerous results on self-reciprocal polynomials over finite fields have been studied. In this paper we generalize some of these to a-self reciprocal polynomials defined in [4]. We consider some properties of the divisibility of a-reciprocal polynomials and characterize the parity of the number of irreducible factors for a-self reciprocal polynomials over finite fields of odd characteristic.
Keywords
Cite
@article{arxiv.1302.3051,
title = {Some Properties of Generalized Self-reciprocal Polynomials over Finite Fields},
author = {Ryul Kim and Ok-Hyon Song and Hyon-Chol Ri},
journal= {arXiv preprint arXiv:1302.3051},
year = {2014}
}
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8 pages