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...
| Autores: | , |
|---|---|
| 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 |