Evaluation codes defined by finite families of plane valuations at infinity

We construct evaluation codes given by weight functions defined over polynomial rings in m a parts per thousand yen 2 indeterminates. These weight functions are determined by sets of m-1 weight functions over polynomial rings in two indeterminates defined by plane valuations at infinity. Well-suited...

Descripción completa

Detalles Bibliográficos
Autores: Galindo Pastor, Carlos, Monserrat Delpalillo, Francisco José|||0000-0003-2221-0140
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/50544
Acceso en línea:https://riunet.upv.es/handle/10251/50544
Access Level:acceso abierto
Palabra clave:Error-correcting codes
Algebraic Geometric Codes
MATEMATICA APLICADA
id ES_b51de51408da2ccdc5066cf593ebdfd0
oai_identifier_str oai:riunet.upv.es:10251/50544
network_acronym_str ES
network_name_str España
repository_id_str
spelling Evaluation codes defined by finite families of plane valuations at infinityGalindo Pastor, CarlosMonserrat Delpalillo, Francisco José|||0000-0003-2221-0140Error-correcting codesAlgebraic Geometric CodesMATEMATICA APLICADAWe construct evaluation codes given by weight functions defined over polynomial rings in m a parts per thousand yen 2 indeterminates. These weight functions are determined by sets of m-1 weight functions over polynomial rings in two indeterminates defined by plane valuations at infinity. Well-suited families in totally ordered commutative groups are an important tool in our procedureSupported by Spain Ministry of Education MTM2007-64704 and Bancaixa P1-1B2009-03. The authors thank to the referees for their valuable suggestions.Springer Verlag (Germany)Departamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería InformáticaFundación BancajaMinisterio de Educación y CienciaRepositorio Institucional de la Universitat Politècnica de València Riunet20142014-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/50544reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Educación y Ciencia https://doi.org/10.13039/501100008743 MTM2007-64704 GEOMETRIA ALGEBRAICA DE LAS SINGULARIDADES, COMPUTACION E INFORMACIONFundación Bancaja Fundación Bancaja P1-132009-03open accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/505442026-06-13T07:49:27Z
dc.title.none.fl_str_mv Evaluation codes defined by finite families of plane valuations at infinity
title Evaluation codes defined by finite families of plane valuations at infinity
spellingShingle Evaluation codes defined by finite families of plane valuations at infinity
Galindo Pastor, Carlos
Error-correcting codes
Algebraic Geometric Codes
MATEMATICA APLICADA
title_short Evaluation codes defined by finite families of plane valuations at infinity
title_full Evaluation codes defined by finite families of plane valuations at infinity
title_fullStr Evaluation codes defined by finite families of plane valuations at infinity
title_full_unstemmed Evaluation codes defined by finite families of plane valuations at infinity
title_sort Evaluation codes defined by finite families of plane valuations at infinity
dc.creator.none.fl_str_mv Galindo Pastor, Carlos
Monserrat Delpalillo, Francisco José|||0000-0003-2221-0140
author Galindo Pastor, Carlos
author_facet Galindo Pastor, Carlos
Monserrat Delpalillo, Francisco José|||0000-0003-2221-0140
author_role author
author2 Monserrat Delpalillo, Francisco José|||0000-0003-2221-0140
author2_role author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería Informática
Fundación Bancaja
Ministerio de Educación y Ciencia
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Error-correcting codes
Algebraic Geometric Codes
MATEMATICA APLICADA
topic Error-correcting codes
Algebraic Geometric Codes
MATEMATICA APLICADA
description We construct evaluation codes given by weight functions defined over polynomial rings in m a parts per thousand yen 2 indeterminates. These weight functions are determined by sets of m-1 weight functions over polynomial rings in two indeterminates defined by plane valuations at infinity. Well-suited families in totally ordered commutative groups are an important tool in our procedure
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/50544
url https://riunet.upv.es/handle/10251/50544
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Educación y Ciencia https://doi.org/10.13039/501100008743 MTM2007-64704 GEOMETRIA ALGEBRAICA DE LAS SINGULARIDADES, COMPUTACION E INFORMACION
Fundación Bancaja Fundación Bancaja P1-132009-03
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer Verlag (Germany)
publisher.none.fl_str_mv Springer Verlag (Germany)
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869417316881530881
score 15,300719