Division algorithm and construction of curves with many points

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.

Autores:
Garzón, Álvaro
Navarro, Horacio
Tipo de recurso:
Article of journal
Fecha de publicación:
2013
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/49339
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/49339
http://bdigital.unal.edu.co/42796/
Palabra clave:
Curvas algebraicas
campos finitos
puntos racionales
extensiones de Kummer
14G05
14H50
Algebraic curves
Finite fields
Rational points
Kummer extensions
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Garzón, Álvaro94f6991e-a775-4eae-97cb-79ad6a400130300Navarro, Horacio3a02b3d6-4c27-4daa-a7e9-e4d65b1f4e673002019-06-29T08:36:26Z2019-06-29T08:36:26Z2013https://repositorio.unal.edu.co/handle/unal/49339http://bdigital.unal.edu.co/42796/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.Se presenta un simple y efectivo método para la construcción de curvas algebraicas sobre campos finitos con muchos puntos racionales. Las curvas son dadas como coberturas de Kummer de la línea proyectiva.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/45181Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 131-147 2357-4100 0034-7426Garzón, Álvaro and Navarro, Horacio (2013) Division algorithm and construction of curves with many points. Revista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 131-147 2357-4100 0034-7426 .Division algorithm and construction of curves with many pointsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTCurvas algebraicascampos finitospuntos racionalesextensiones de Kummer14G0514H50Algebraic curvesFinite fieldsRational pointsKummer extensionsORIGINAL45181-216912-2-PB.htmltext/html3967https://repositorio.unal.edu.co/bitstream/unal/49339/1/45181-216912-2-PB.htmlf5e9db99664f5dc4b65acbf0f3826360MD5145181-216911-1-SM.pdfapplication/pdf422436https://repositorio.unal.edu.co/bitstream/unal/49339/2/45181-216911-1-SM.pdf79c90b2f7132c78a2a9f7ed7810f29daMD52THUMBNAIL45181-216911-1-SM.pdf.jpg45181-216911-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5407https://repositorio.unal.edu.co/bitstream/unal/49339/3/45181-216911-1-SM.pdf.jpg7511f36b9686ea23f45131722547912fMD53unal/49339oai:repositorio.unal.edu.co:unal/493392023-12-09 23:05:58.127Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Division algorithm and construction of curves with many points
title Division algorithm and construction of curves with many points
spellingShingle Division algorithm and construction of curves with many points
Curvas algebraicas
campos finitos
puntos racionales
extensiones de Kummer
14G05
14H50
Algebraic curves
Finite fields
Rational points
Kummer extensions
title_short Division algorithm and construction of curves with many points
title_full Division algorithm and construction of curves with many points
title_fullStr Division algorithm and construction of curves with many points
title_full_unstemmed Division algorithm and construction of curves with many points
title_sort Division algorithm and construction of curves with many points
dc.creator.fl_str_mv Garzón, Álvaro
Navarro, Horacio
dc.contributor.author.spa.fl_str_mv Garzón, Álvaro
Navarro, Horacio
dc.subject.proposal.spa.fl_str_mv Curvas algebraicas
campos finitos
puntos racionales
extensiones de Kummer
14G05
14H50
Algebraic curves
Finite fields
Rational points
Kummer extensions
topic Curvas algebraicas
campos finitos
puntos racionales
extensiones de Kummer
14G05
14H50
Algebraic curves
Finite fields
Rational points
Kummer extensions
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.issued.spa.fl_str_mv 2013
dc.date.accessioned.spa.fl_str_mv 2019-06-29T08:36:26Z
dc.date.available.spa.fl_str_mv 2019-06-29T08:36:26Z
dc.type.spa.fl_str_mv Artículo de revista
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/49339
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/42796/
url https://repositorio.unal.edu.co/handle/unal/49339
http://bdigital.unal.edu.co/42796/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/45181
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 131-147 2357-4100 0034-7426
dc.relation.references.spa.fl_str_mv Garzón, Álvaro and Navarro, Horacio (2013) Division algorithm and construction of curves with many points. Revista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 131-147 2357-4100 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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