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Some Properties of Generalized Self-reciprocal Polynomials over Finite Fields

Published 13 Feb 2013 in math.NT, cs.IT, math.IT, and math.RA | (1302.3051v3)

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.

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