An examination of the structure of extension families of irreducible polynomials over finite fields

UNCW Author/Contributor (non-UNCW co-authors, if there are any, appear on document)
Matthew Psioda (Creator)
Institution
The University of North Carolina Wilmington (UNCW )
Web Site: http://library.uncw.edu/
Advisor
Michael Freeze

Abstract: In this paper we examine the behavior of particular family of polynomial over a nite eld. The family studied is that obtained by composing an irreducible poly- nomial with prime power monomials. We examine methods of testing irreducibility via a new method of discriminant calculation. We also provide new incite into how the members of the given family factor when not irreducible. Further, we provided a nite eld generalization to "Roots Appearing in Quanta", an article presented by Perlis.

Additional Information

Publication
Thesis
A Thesis Submitted to the University of North Carolina at Wilmington in Partial Fulfillment of the Requirement for the Degree of Masters of Science
Language: English
Date: 2009
Keywords
Finite fields (Algebra), Polynomials
Subjects
Polynomials
Finite fields (Algebra)