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)
The University of North Carolina Wilmington (UNCW )
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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

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
Finite fields (Algebra), Polynomials
Finite fields (Algebra)

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