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...

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Main Author:	Roy, Sankhadip
Format:	Others
Published:	OpenSIUC 2011
Subjects:	Finte Fields of Characteristsic Two Trace Forms
Online Access:	https://opensiuc.lib.siu.edu/dissertations/345 https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1345&context=dissertations

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record_format	oai_dc
spelling	ndltd-siu.edu-oai-opensiuc.lib.siu.edu-dissertations-13452018-12-20T04:28:56Z Trace Forms Over Finite Fields of Characteristic Two Roy, Sankhadip 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. 2011-05-01T07:00:00Z text application/pdf https://opensiuc.lib.siu.edu/dissertations/345 https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1345&context=dissertations Dissertations OpenSIUC Finte Fields of Characteristsic Two Trace Forms
collection	NDLTD
format	Others
sources	NDLTD
topic	Finte Fields of Characteristsic Two Trace Forms
spellingShingle	Finte Fields of Characteristsic Two Trace Forms Roy, Sankhadip Trace Forms Over Finite Fields of Characteristic Two
description	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.
author	Roy, Sankhadip
author_facet	Roy, Sankhadip
author_sort	Roy, Sankhadip
title	Trace Forms Over Finite Fields of Characteristic Two
title_short	Trace Forms Over Finite Fields of Characteristic Two
title_full	Trace Forms Over Finite Fields of Characteristic Two
title_fullStr	Trace Forms Over Finite Fields of Characteristic Two
title_full_unstemmed	Trace Forms Over Finite Fields of Characteristic Two
title_sort	trace forms over finite fields of characteristic two
publisher	OpenSIUC
publishDate	2011
url	https://opensiuc.lib.siu.edu/dissertations/345 https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1345&context=dissertations
work_keys_str_mv	AT roysankhadip traceformsoverfinitefieldsofcharacteristictwo
_version_	1718802253054214144

Trace Forms Over Finite Fields of Characteristic Two

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