Lifting iso-dual algebraic geometry codes

Autores
Chara, María de Los Ángeles; Podestá, Ricardo César; Quoos, Luciane; Toledano, Ricardo Daniel
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work we investigate the problem of producing iso-dual algebraic geometry (AG) codes over a finite field q with q elements. Given a finite separable extension M/F of function fields and an iso-dual AG-code C defined over F, we provide a general method to lift the code C to another iso-dual AG-code C´ defined over M under some assumptions on the parity of the involved different exponents. We apply this method to lift iso-dual AG-codes over the rational function field to elementary abelian p-extensions, like the maximal function fields defined by the Hermitian, Suzuki, and one covered by the GGS function field. We also obtain long binary and ternary iso-dual AG-codes defined over cyclotomic extensions.
Fil: Chara, María de Los Ángeles. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Podestá, Ricardo César. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Quoos, Luciane. Universidade Federal do Rio de Janeiro; Brasil
Fil: Toledano, Ricardo Daniel. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
LIFTING
ALGEBRAIC GEOMETRY
CODES
ISO-DUAL
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:11336/233906
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Lifting iso-dual algebraic geometry codesChara, María de Los ÁngelesPodestá, Ricardo CésarQuoos, LucianeToledano, Ricardo DanielLIFTINGALGEBRAIC GEOMETRYCODESISO-DUALhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this work we investigate the problem of producing iso-dual algebraic geometry (AG) codes over a finite field q with q elements. Given a finite separable extension M/F of function fields and an iso-dual AG-code C defined over F, we provide a general method to lift the code C to another iso-dual AG-code C´ defined over M under some assumptions on the parity of the involved different exponents. We apply this method to lift iso-dual AG-codes over the rational function field to elementary abelian p-extensions, like the maximal function fields defined by the Hermitian, Suzuki, and one covered by the GGS function field. We also obtain long binary and ternary iso-dual AG-codes defined over cyclotomic extensions.Fil: Chara, María de Los Ángeles. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Podestá, Ricardo César. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Quoos, Luciane. Universidade Federal do Rio de Janeiro; BrasilFil: Toledano, Ricardo Daniel. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaCornell University2023-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/233906Chara, María de Los Ángeles; Podestá, Ricardo César; Quoos, Luciane; Toledano, Ricardo Daniel; Lifting iso-dual algebraic geometry codes; Cornell University; arXiv; 11-2023; 1-262331-8422CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2311.08992#info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:39:16Zoai:ri.conicet.gov.ar:11336/233906instacron: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:34982025-11-12 09:39:16.996CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Lifting iso-dual algebraic geometry codes
title Lifting iso-dual algebraic geometry codes
spellingShingle Lifting iso-dual algebraic geometry codes
Chara, María de Los Ángeles
LIFTING
ALGEBRAIC GEOMETRY
CODES
ISO-DUAL
title_short Lifting iso-dual algebraic geometry codes
title_full Lifting iso-dual algebraic geometry codes
title_fullStr Lifting iso-dual algebraic geometry codes
title_full_unstemmed Lifting iso-dual algebraic geometry codes
title_sort Lifting iso-dual algebraic geometry codes
dc.creator.none.fl_str_mv Chara, María de Los Ángeles
Podestá, Ricardo César
Quoos, Luciane
Toledano, Ricardo Daniel
author Chara, María de Los Ángeles
author_facet Chara, María de Los Ángeles
Podestá, Ricardo César
Quoos, Luciane
Toledano, Ricardo Daniel
author_role author
author2 Podestá, Ricardo César
Quoos, Luciane
Toledano, Ricardo Daniel
author2_role author
author
author
dc.subject.none.fl_str_mv LIFTING
ALGEBRAIC GEOMETRY
CODES
ISO-DUAL
topic LIFTING
ALGEBRAIC GEOMETRY
CODES
ISO-DUAL
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this work we investigate the problem of producing iso-dual algebraic geometry (AG) codes over a finite field q with q elements. Given a finite separable extension M/F of function fields and an iso-dual AG-code C defined over F, we provide a general method to lift the code C to another iso-dual AG-code C´ defined over M under some assumptions on the parity of the involved different exponents. We apply this method to lift iso-dual AG-codes over the rational function field to elementary abelian p-extensions, like the maximal function fields defined by the Hermitian, Suzuki, and one covered by the GGS function field. We also obtain long binary and ternary iso-dual AG-codes defined over cyclotomic extensions.
Fil: Chara, María de Los Ángeles. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Podestá, Ricardo César. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Quoos, Luciane. Universidade Federal do Rio de Janeiro; Brasil
Fil: Toledano, Ricardo Daniel. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description In this work we investigate the problem of producing iso-dual algebraic geometry (AG) codes over a finite field q with q elements. Given a finite separable extension M/F of function fields and an iso-dual AG-code C defined over F, we provide a general method to lift the code C to another iso-dual AG-code C´ defined over M under some assumptions on the parity of the involved different exponents. We apply this method to lift iso-dual AG-codes over the rational function field to elementary abelian p-extensions, like the maximal function fields defined by the Hermitian, Suzuki, and one covered by the GGS function field. We also obtain long binary and ternary iso-dual AG-codes defined over cyclotomic extensions.
publishDate 2023
dc.date.none.fl_str_mv 2023-11
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/11336/233906
Chara, María de Los Ángeles; Podestá, Ricardo César; Quoos, Luciane; Toledano, Ricardo Daniel; Lifting iso-dual algebraic geometry codes; Cornell University; arXiv; 11-2023; 1-26
2331-8422
CONICET Digital
CONICET
url http://hdl.handle.net/11336/233906
identifier_str_mv Chara, María de Los Ángeles; Podestá, Ricardo César; Quoos, Luciane; Toledano, Ricardo Daniel; Lifting iso-dual algebraic geometry codes; Cornell University; arXiv; 11-2023; 1-26
2331-8422
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://arxiv.org/abs/2311.08992#
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/pdf
application/pdf
dc.publisher.none.fl_str_mv Cornell University
publisher.none.fl_str_mv Cornell University
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 12.976206

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