# Self-Conjugate-Reciprocal Polynomials over Finite Fields and Self-Conjugate-Reciprocal Transformation

## Annual Meeting in Mathematics 2023

## Keywords:

self-conjugate-reciprocal polynomials, self-conjugate-reciprocal transformations, finite fields## Abstract

An interesting class of polynomials over finite fields, namely self-conjugate-reciprocal polynomials, has been studied here. Some elementary properties on their roots and a way to find all self-conjugate-reciprocal irreducible monic polynomials of a given degree are provided. Moreover, in the last part, we define a map taking a polynomial over a finite field with some conditions to a self-conjugate-reciprocal polynomial. Certain properties of the polynomial obtained from this map are investigated.

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## How to Cite

*Thai Journal of Mathematics*,

*22*(1), 93–102. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1601