Author Type

Graduate Student

Date of Award

2000

Document Type

Thesis

Publication Status

Version of Record

Submission Date

October 2026

Thesis/Dissertation Advisor [Chair]

Mullin, Ronald C.

Thesis/Dissertation Co-Chair

Hoffman, Frederick

Abstract

Recent interest in cryptographic systems has generated many mathematical results involving computations in finite fields. In particular, it is known that the use of optimal normal bases significantly reduces the complexity of computations in certain finite fields. This thesis examines three specific aspects of optimal normal bases. First, the effect of optimal normal bases on computations in finite fields is analyzed. Second, the known constructions of optimal normal bases are presented. Finally, the generators of optimal normal bases are discussed in terms of their order in the field.

Extent

77 p.

Comments

Thesis (M.S.)--Florida Atlantic University, 2000.|Thesis (M.S.)--Florida Atlantic University, 2000.

Identifier

FADT15755

Format

pdf

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