Irreducible Compositions of Polynomials over Finite Fields

2010/08/11 by Kyuregyan, Melsik K., Kyureghyan, Gohar M.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1008.1863

Abstract

The paper studies constructions of irreducible polynomials over finite fields using polynomial composition method.

Related

• Irreducible polynomials over finite fields produced by composition of quadratics
• An algorithm for determining the irreducible polynomials over finite fields
• Irreducibility results for compositions of polynomials in several variables
• Number of irreducible polynomials in several variables over finite fields
• Construction of irreducible polynomials through rational transformations