On the Minimum Distance of One-Point Castle AG Codes

We present a characterization of the lower bound d* for minimum distance of algebraic geometry one-point codes coming from castle curves. This article shows explicit calculations of this bound in the case of a Weierstrass semigroup generated by two consecutive elements. In particular, we obtain a si...

Full description

Autores:
Olaya-León, Wilson
Granados-Pinzón, Claudia
Tipo de recurso:
Fecha de publicación:
2012
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
spa
OAI Identifier:
oai:repository.eafit.edu.co:10784/14455
Acceso en línea:
http://hdl.handle.net/10784/14455
Palabra clave:
Error-Correcting Codes
Ag Codes
Minimum Distance
Hermitian Codes
Códigos De Corrección De Errores
Códigos Ag
Distancia Mínima
Códigos Hermitianos
Rights
License
Copyright (c) 2012 Wilson Olaya-León, Claudia Granados-Pinzón
id REPOEAFIT2_4b646f3878a695ba9cadd4914632d316
oai_identifier_str oai:repository.eafit.edu.co:10784/14455
network_acronym_str REPOEAFIT2
network_name_str Repositorio EAFIT
repository_id_str
spelling Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees2012-12-012019-11-22T18:49:15Z2012-12-012019-11-22T18:49:15Z2256-43141794-9165http://hdl.handle.net/10784/1445510.17230/ingciencia.8.16.9We present a characterization of the lower bound d* for minimum distance of algebraic geometry one-point codes coming from castle curves. This article shows explicit calculations of this bound in the case of a Weierstrass semigroup generated by two consecutive elements. In particular, we obtain a simple characterization of the exact value of the minimum distance Hermitian codes.Presentamos una caracterización del límite inferior d * para la distancia mínima de los códigos de un punto de geometría algebraica provenientes de las curvas del castillo. Este artículo muestra cálculos explícitos de este límite en el caso de un semigrupo de Weierstrass generado por dos elementos consecutivos. En particular, obtenemos una caracterización simple del valor exacto de los códigos hermitianos de distancia mínima.application/pdfspaUniversidad EAFIThttp://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1712http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1712Copyright (c) 2012 Wilson Olaya-León, Claudia Granados-PinzónAcceso abiertohttp://purl.org/coar/access_right/c_abf2instname:Universidad EAFITreponame:Repositorio Institucional Universidad EAFITIngeniería y Ciencia; Vol 8, No 16 (2012)On the Minimum Distance of One-Point Castle AG CodesSobre la distancia mínima de códigos AG unipuntuales castilloarticleinfo:eu-repo/semantics/articlepublishedVersioninfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Error-Correcting CodesAg CodesMinimum DistanceHermitian CodesCódigos De Corrección De ErroresCódigos AgDistancia MínimaCódigos HermitianosOlaya-León, WilsonGranados-Pinzón, ClaudiaUniversidad Industrial de SantanderIngeniería y Ciencia816239255ing.cienc.THUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/6737a128-9af1-438e-bc6b-16a1f2c8f6b8/downloadda9b21a5c7e00c7f1127cef8e97035e0MD51ORIGINAL9.pdf9.pdfTexto completo PDFapplication/pdf515222https://repository.eafit.edu.co/bitstreams/9c6905c0-34da-4145-9679-f04a8da76897/download012ef2d2c151487c4786ed4fe0d48e3bMD52articulo.htmlarticulo.htmlTexto completo HTMLtext/html374https://repository.eafit.edu.co/bitstreams/71dba16e-d49f-4b74-a1ca-c7eeb06852c2/download32bdafc763d2251222d9f20df327e591MD5310784/14455oai:repository.eafit.edu.co:10784/144552020-03-02 21:55:10.161open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv On the Minimum Distance of One-Point Castle AG Codes
dc.title.spa.fl_str_mv Sobre la distancia mínima de códigos AG unipuntuales castillo
title On the Minimum Distance of One-Point Castle AG Codes
spellingShingle On the Minimum Distance of One-Point Castle AG Codes
Error-Correcting Codes
Ag Codes
Minimum Distance
Hermitian Codes
Códigos De Corrección De Errores
Códigos Ag
Distancia Mínima
Códigos Hermitianos
title_short On the Minimum Distance of One-Point Castle AG Codes
title_full On the Minimum Distance of One-Point Castle AG Codes
title_fullStr On the Minimum Distance of One-Point Castle AG Codes
title_full_unstemmed On the Minimum Distance of One-Point Castle AG Codes
title_sort On the Minimum Distance of One-Point Castle AG Codes
dc.creator.fl_str_mv Olaya-León, Wilson
Granados-Pinzón, Claudia
dc.contributor.author.spa.fl_str_mv Olaya-León, Wilson
Granados-Pinzón, Claudia
dc.contributor.affiliation.spa.fl_str_mv Universidad Industrial de Santander
dc.subject.keyword.eng.fl_str_mv Error-Correcting Codes
Ag Codes
Minimum Distance
Hermitian Codes
topic Error-Correcting Codes
Ag Codes
Minimum Distance
Hermitian Codes
Códigos De Corrección De Errores
Códigos Ag
Distancia Mínima
Códigos Hermitianos
dc.subject.keyword.spa.fl_str_mv Códigos De Corrección De Errores
Códigos Ag
Distancia Mínima
Códigos Hermitianos
description We present a characterization of the lower bound d* for minimum distance of algebraic geometry one-point codes coming from castle curves. This article shows explicit calculations of this bound in the case of a Weierstrass semigroup generated by two consecutive elements. In particular, we obtain a simple characterization of the exact value of the minimum distance Hermitian codes.
publishDate 2012
dc.date.issued.none.fl_str_mv 2012-12-01
dc.date.available.none.fl_str_mv 2019-11-22T18:49:15Z
dc.date.accessioned.none.fl_str_mv 2019-11-22T18:49:15Z
dc.date.none.fl_str_mv 2012-12-01
dc.type.eng.fl_str_mv article
info:eu-repo/semantics/article
publishedVersion
info:eu-repo/semantics/publishedVersion
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_6501
http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.local.spa.fl_str_mv Artículo
status_str publishedVersion
dc.identifier.issn.none.fl_str_mv 2256-4314
1794-9165
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10784/14455
dc.identifier.doi.none.fl_str_mv 10.17230/ingciencia.8.16.9
identifier_str_mv 2256-4314
1794-9165
10.17230/ingciencia.8.16.9
url http://hdl.handle.net/10784/14455
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.isversionof.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1712
dc.relation.uri.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1712
dc.rights.eng.fl_str_mv Copyright (c) 2012 Wilson Olaya-León, Claudia Granados-Pinzón
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.local.spa.fl_str_mv Acceso abierto
rights_invalid_str_mv Copyright (c) 2012 Wilson Olaya-León, Claudia Granados-Pinzón
Acceso abierto
http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
dc.coverage.spatial.eng.fl_str_mv Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees
dc.publisher.spa.fl_str_mv Universidad EAFIT
dc.source.none.fl_str_mv instname:Universidad EAFIT
reponame:Repositorio Institucional Universidad EAFIT
dc.source.spa.fl_str_mv Ingeniería y Ciencia; Vol 8, No 16 (2012)
instname_str Universidad EAFIT
institution Universidad EAFIT
reponame_str Repositorio Institucional Universidad EAFIT
collection Repositorio Institucional Universidad EAFIT
bitstream.url.fl_str_mv https://repository.eafit.edu.co/bitstreams/6737a128-9af1-438e-bc6b-16a1f2c8f6b8/download
https://repository.eafit.edu.co/bitstreams/9c6905c0-34da-4145-9679-f04a8da76897/download
https://repository.eafit.edu.co/bitstreams/71dba16e-d49f-4b74-a1ca-c7eeb06852c2/download
bitstream.checksum.fl_str_mv da9b21a5c7e00c7f1127cef8e97035e0
012ef2d2c151487c4786ed4fe0d48e3b
32bdafc763d2251222d9f20df327e591
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositorio Institucional Universidad EAFIT
repository.mail.fl_str_mv repositorio@eafit.edu.co
_version_ 1814110140647866368

Publicaciones similares