Some properties of generalized self-reciprocal polynomials over finite fields

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

• finite field
• nite eld; self-reciprocal polynomial; nontrivial; irreducible factor
• self-reciprocal polynomial
• nontrivial irreducible factor