Divsion Algorithm and Construction of Curves with Many Points

Autores
Garzón, Álvaro; Navarro Oyola, Horacio
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We give a simple and effective method for the construction of algebraic curves over finite fields with many rational points. The curves are given as Kummer covers of the projective line.
Fil: Garzón, Álvaro. Universidad del Valle; Colombia
Fil: Navarro Oyola, Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Materia
Algebraic Curves
Finite Fields
Rational Points
Kummer Extensions
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/84091
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/84091
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Divsion Algorithm and Construction of Curves with Many PointsGarzón, ÁlvaroNavarro Oyola, HoracioAlgebraic CurvesFinite FieldsRational PointsKummer Extensionshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We give a simple and effective method for the construction of algebraic curves over finite fields with many rational points. The curves are given as Kummer covers of the projective line.Fil: Garzón, Álvaro. Universidad del Valle; ColombiaFil: Navarro Oyola, Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaUniversidad Nacional de Colombia2013-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/84091Garzón, Álvaro; Navarro Oyola, Horacio; Divsion Algorithm and Construction of Curves with Many Points; Universidad Nacional de Colombia; REVISTA COLOMBIANA DE MATEMáTICAS; 47; 2; 12-2013; 131-1470034-7426CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://scm.org.co/archivos/revista/Articulos/1117.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:32:15Zoai:ri.conicet.gov.ar:11336/84091instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:32:15.851CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Divsion Algorithm and Construction of Curves with Many Points
title Divsion Algorithm and Construction of Curves with Many Points
spellingShingle Divsion Algorithm and Construction of Curves with Many Points
Garzón, Álvaro
Algebraic Curves
Finite Fields
Rational Points
Kummer Extensions
title_short Divsion Algorithm and Construction of Curves with Many Points
title_full Divsion Algorithm and Construction of Curves with Many Points
title_fullStr Divsion Algorithm and Construction of Curves with Many Points
title_full_unstemmed Divsion Algorithm and Construction of Curves with Many Points
title_sort Divsion Algorithm and Construction of Curves with Many Points
dc.creator.none.fl_str_mv Garzón, Álvaro
Navarro Oyola, Horacio
author Garzón, Álvaro
author_facet Garzón, Álvaro
Navarro Oyola, Horacio
author_role author
author2 Navarro Oyola, Horacio
author2_role author
dc.subject.none.fl_str_mv Algebraic Curves
Finite Fields
Rational Points
Kummer Extensions
topic Algebraic Curves
Finite Fields
Rational Points
Kummer Extensions
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We give a simple and effective method for the construction of algebraic curves over finite fields with many rational points. The curves are given as Kummer covers of the projective line.
Fil: Garzón, Álvaro. Universidad del Valle; Colombia
Fil: Navarro Oyola, Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
description We give a simple and effective method for the construction of algebraic curves over finite fields with many rational points. The curves are given as Kummer covers of the projective line.
publishDate 2013
dc.date.none.fl_str_mv 2013-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/84091
Garzón, Álvaro; Navarro Oyola, Horacio; Divsion Algorithm and Construction of Curves with Many Points; Universidad Nacional de Colombia; REVISTA COLOMBIANA DE MATEMáTICAS; 47; 2; 12-2013; 131-147
0034-7426
CONICET Digital
CONICET
url http://hdl.handle.net/11336/84091
identifier_str_mv Garzón, Álvaro; Navarro Oyola, Horacio; Divsion Algorithm and Construction of Curves with Many Points; Universidad Nacional de Colombia; REVISTA COLOMBIANA DE MATEMáTICAS; 47; 2; 12-2013; 131-147
0034-7426
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://scm.org.co/archivos/revista/Articulos/1117.pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Universidad Nacional de Colombia
publisher.none.fl_str_mv Universidad Nacional de Colombia
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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