Block transitive codes attaining the Tsfasman-Vladut-Zink bound

Autores
Chara, María de Los Ángeles; Podesta, Ricardo Alberto; Toledano, Ricardo Daniel
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the asymptotic behaviour of a class of algebraic geometry codes, which we call block-transitive, that generalizes the classes of transitive and quasi-transitive codes. We prove by using towers of algebraic function fields with either wild or tame ramification, that there are sequences of codes in this family attaining the Tsfasman–Vladut–Zink bound over finite fields of square cardinality. We give the exact length of each code in these sequences as well as explicit lower bounds for their parameters.
Fil: Chara, María de Los Ángeles. 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
Fil: Podesta, Ricardo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Toledano, Ricardo Daniel. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
ALGEBRAIC GEOMETRY CODES
FINITE FIELDS
TOWERS OF FUNCTION FIELDS
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:11336/169597
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Block transitive codes attaining the Tsfasman-Vladut-Zink boundChara, María de Los ÁngelesPodesta, Ricardo AlbertoToledano, Ricardo DanielALGEBRAIC GEOMETRY CODESFINITE FIELDSTOWERS OF FUNCTION FIELDShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study the asymptotic behaviour of a class of algebraic geometry codes, which we call block-transitive, that generalizes the classes of transitive and quasi-transitive codes. We prove by using towers of algebraic function fields with either wild or tame ramification, that there are sequences of codes in this family attaining the Tsfasman–Vladut–Zink bound over finite fields of square cardinality. We give the exact length of each code in these sequences as well as explicit lower bounds for their parameters.Fil: Chara, María de Los Ángeles. 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; ArgentinaFil: Podesta, Ricardo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaFil: Toledano, Ricardo Daniel. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaSpringer2020-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/zipapplication/pdfhttp://hdl.handle.net/11336/169597Chara, María de Los Ángeles; Podesta, Ricardo Alberto; Toledano, Ricardo Daniel; Block transitive codes attaining the Tsfasman-Vladut-Zink bound; Springer; Designs Codes And Cryptography; 88; 6; 6-2020; 1227-12530925-1022CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10623-020-00743-winfo:eu-repo/semantics/altIdentifier/doi/10.1007/s10623-020-00743-winfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:04:13Zoai:ri.conicet.gov.ar:11336/169597instacron: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:34982025-09-03 10:04:13.782CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Block transitive codes attaining the Tsfasman-Vladut-Zink bound
title Block transitive codes attaining the Tsfasman-Vladut-Zink bound
spellingShingle Block transitive codes attaining the Tsfasman-Vladut-Zink bound
Chara, María de Los Ángeles
ALGEBRAIC GEOMETRY CODES
FINITE FIELDS
TOWERS OF FUNCTION FIELDS
title_short Block transitive codes attaining the Tsfasman-Vladut-Zink bound
title_full Block transitive codes attaining the Tsfasman-Vladut-Zink bound
title_fullStr Block transitive codes attaining the Tsfasman-Vladut-Zink bound
title_full_unstemmed Block transitive codes attaining the Tsfasman-Vladut-Zink bound
title_sort Block transitive codes attaining the Tsfasman-Vladut-Zink bound
dc.creator.none.fl_str_mv Chara, María de Los Ángeles
Podesta, Ricardo Alberto
Toledano, Ricardo Daniel
author Chara, María de Los Ángeles
author_facet Chara, María de Los Ángeles
Podesta, Ricardo Alberto
Toledano, Ricardo Daniel
author_role author
author2 Podesta, Ricardo Alberto
Toledano, Ricardo Daniel
author2_role author
author
dc.subject.none.fl_str_mv ALGEBRAIC GEOMETRY CODES
FINITE FIELDS
TOWERS OF FUNCTION FIELDS
topic ALGEBRAIC GEOMETRY CODES
FINITE FIELDS
TOWERS OF FUNCTION FIELDS
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 study the asymptotic behaviour of a class of algebraic geometry codes, which we call block-transitive, that generalizes the classes of transitive and quasi-transitive codes. We prove by using towers of algebraic function fields with either wild or tame ramification, that there are sequences of codes in this family attaining the Tsfasman–Vladut–Zink bound over finite fields of square cardinality. We give the exact length of each code in these sequences as well as explicit lower bounds for their parameters.
Fil: Chara, María de Los Ángeles. 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
Fil: Podesta, Ricardo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Toledano, Ricardo Daniel. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We study the asymptotic behaviour of a class of algebraic geometry codes, which we call block-transitive, that generalizes the classes of transitive and quasi-transitive codes. We prove by using towers of algebraic function fields with either wild or tame ramification, that there are sequences of codes in this family attaining the Tsfasman–Vladut–Zink bound over finite fields of square cardinality. We give the exact length of each code in these sequences as well as explicit lower bounds for their parameters.
publishDate 2020
dc.date.none.fl_str_mv 2020-06
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/11336/169597
Chara, María de Los Ángeles; Podesta, Ricardo Alberto; Toledano, Ricardo Daniel; Block transitive codes attaining the Tsfasman-Vladut-Zink bound; Springer; Designs Codes And Cryptography; 88; 6; 6-2020; 1227-1253
0925-1022
CONICET Digital
CONICET
url http://hdl.handle.net/11336/169597
identifier_str_mv Chara, María de Los Ángeles; Podesta, Ricardo Alberto; Toledano, Ricardo Daniel; Block transitive codes attaining the Tsfasman-Vladut-Zink bound; Springer; Designs Codes And Cryptography; 88; 6; 6-2020; 1227-1253
0925-1022
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10623-020-00743-w
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10623-020-00743-w
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/zip
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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 13.13397

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