Date of Award

5-1-2011

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Fitzgerald, Robert

Abstract

This dissertation provides elementary facts about trace forms over finite fields of characteristic two in order to generalize some results concerning Gold functions. Then determines new set of maximal Artin-Schreier curves with possible pair of invariants, finds possible trace forms with specific co-dimemntion and provides a new family of binary sequences having low correlation values.

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