Trace Forms Over Finite Fields of Characteristic Two

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.

Name thesis:degree_name

Doctor of Philosophy

Level thesis:degree_level

Campus Only Dissertation

Discipline thesis:degree_discipline

Mathematics

Year

2011

Author dc:creator

• Roy, Sankhadip

Contributors dc:contributor

• Fitzgerald, Robert

• Finte Fields of Characteristsic Two
• Trace Forms

Repository record dc:identifier

https://opensiuc.lib.siu.edu/dissertations/345

OAI identifier oai:identifier

oai:opensiuc.lib.siu.edu:dissertations-1345