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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