Codes on fibre products of Artin-Schreier and Kummer coverings of the projective line

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buir.advisorStepanov, Serguei A.
dc.contributor.authorShalalfeh, Mahmoud
dc.date.accessioned2017-12-12T10:28:18Z
dc.date.available2017-12-12T10:28:18Z
dc.date.copyright2002-08
dc.date.issued2002-08
dc.date.submitted2002-08
dc.departmentDepartment of Mathematicsen_US
dc.descriptionCataloged from PDF version of article.en_US
dc.descriptionThesis (Ph.D.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2002.en_US
dc.descriptionIncludes bibliographical references (leaves 68-72).en_US
dc.description.abstractIn this thesis, we study smooth projective absolutely irreducible curves defined over finite fields by fibre products of Artin-Schreier and Kummer coverings of the projective line. We construct some curves with many rational points defined by the fibre products of Artin-Schreier and Kummer coverings. Then, we apply Goppa construction to the curves that we have found, and obtain long linear codes with good relative parameters.en_US
dc.description.degreePh.D.en_US
dc.description.statementofresponsibilityby Mahmoud Shalalfeh.en_US
dc.format.extentvi, 72 leaves : illustrations ; 30 cmen_US
dc.identifier.itemidBILKUTUPB067186
dc.identifier.urihttp://hdl.handle.net/11693/35667
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAlgebraic curvesen_US
dc.subjectBre productsen_US
dc.subjectArtin-Schreier extensionsen_US
dc.subjectKummer coveringsen_US
dc.subjectGeometric Goppa codesen_US
dc.subject.lccQA564 .S53 2002en_US
dc.titleCodes on fibre products of Artin-Schreier and Kummer coverings of the projective lineen_US
dc.title.alternativeProjekif doğrunun Artın-Schreier ve Kummer örtülerinin fiber çarpımları üzindeki kodlaren_US
dc.typeThesisen_US

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