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.
An examination of the structure of extension families of irreducible polynomials over finite fields
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Created on 1/1/2009
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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)