<div class="csl-bib-body">
<div class="csl-entry">Kuleff, P. M. (2017). <i>Algebraic function fields, algebraic curves and Goppa codes</i> [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2017.42103</div>
</div>
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dc.identifier.uri
https://doi.org/10.34726/hss.2017.42103
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/2215
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dc.description
Abweichender Titel nach Übersetzung der Verfasserin/des Verfassers
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dc.description.abstract
This thesis gives an introduction into the theory of algebraic function fields and algebraic curves with an application to Goppa codes. The first two chapters focus on function fields in a purely algebraic setting and have the Riemann-Roch Theorem as their main result. Algebraic curves are approached from the perspective of function fields. Two kinds of Goppa codes are defined via places and local components of differentials, respectively. An example of how to construct Goppa codes from algebraic curves is given. In the last chapter a standard decoding scheme as well as a list decoding algorithm for Goppa codes are presented.
en
dc.language
English
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dc.language.iso
en
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dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
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dc.subject
algebraische Funktionenkörper
de
dc.subject
algebraische Kurven
de
dc.subject
Goppa Codes
de
dc.subject
algebraic function field
en
dc.subject
algebraic curve
en
dc.subject
Goppa code
en
dc.title
Algebraic function fields, algebraic curves and Goppa codes
en
dc.title.alternative
Algebraische Funktionenkörper, algebraische Kurven und Goppa Codes
de
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.rights.license
In Copyright
en
dc.rights.license
Urheberrechtsschutz
de
dc.identifier.doi
10.34726/hss.2017.42103
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dc.contributor.affiliation
TU Wien, Österreich
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dc.rights.holder
Peter Michael Kuleff
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dc.publisher.place
Wien
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tuw.version
vor
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tuw.thesisinformation
Technische Universität Wien
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tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
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dc.type.qualificationlevel
Diploma
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dc.identifier.libraryid
AC13642476
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dc.description.numberOfPages
90
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dc.identifier.urn
urn:nbn:at:at-ubtuw:1-95610
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dc.thesistype
Diplomarbeit
de
dc.thesistype
Diploma Thesis
en
dc.rights.identifier
In Copyright
en
dc.rights.identifier
Urheberrechtsschutz
de
tuw.advisor.staffStatus
staff
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item.fulltext
with Fulltext
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item.cerifentitytype
Publications
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item.mimetype
application/pdf
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item.openairecristype
http://purl.org/coar/resource_type/c_bdcc
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item.languageiso639-1
en
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item.openaccessfulltext
Open Access
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item.openairetype
master thesis
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item.grantfulltext
open
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crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie