On evaluation codes coming from a tower of function fields

Autores
Carvalho, Cícero; Chara, María de Los Ángeles; Quoos, Luciane
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work we present the construction of evaluation codes defined from data coming from a tower of function fields. We use tools from Gröbner basis theory to calculate the dimension and find a lower bound for the minimum distance of these codes.
Fil: Carvalho, Cícero. Universidade Federal de Uberlandia;
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: Quoos, Luciane. Universidade Federal do Rio de Janeiro; Brasil
Materia
Codes
GrÖBner Basis
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:11336/63499
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/63499
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On evaluation codes coming from a tower of function fieldsCarvalho, CíceroChara, María de Los ÁngelesQuoos, LucianeCodesGrÖBner BasisTowers of Function Fieldshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this work we present the construction of evaluation codes defined from data coming from a tower of function fields. We use tools from Gröbner basis theory to calculate the dimension and find a lower bound for the minimum distance of these codes.Fil: Carvalho, Cícero. Universidade Federal de Uberlandia;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: Quoos, Luciane. Universidade Federal do Rio de Janeiro; BrasilAcademic Press Ltd - Elsevier Science Ltd2018-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/63499Carvalho, Cícero; Chara, María de Los Ángeles; Quoos, Luciane; On evaluation codes coming from a tower of function fields; Academic Press Ltd - Elsevier Science Ltd; Journal Of Symbolic Computation; 89; 11-2018; 121-1280747-7171CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jsc.2017.11.008info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:45:49Zoai:ri.conicet.gov.ar:11336/63499instacron: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 09:45:49.934CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On evaluation codes coming from a tower of function fields
title On evaluation codes coming from a tower of function fields
spellingShingle On evaluation codes coming from a tower of function fields
Carvalho, Cícero
Codes
GrÖBner Basis
Towers of Function Fields
title_short On evaluation codes coming from a tower of function fields
title_full On evaluation codes coming from a tower of function fields
title_fullStr On evaluation codes coming from a tower of function fields
title_full_unstemmed On evaluation codes coming from a tower of function fields
title_sort On evaluation codes coming from a tower of function fields
dc.creator.none.fl_str_mv Carvalho, Cícero
Chara, María de Los Ángeles
Quoos, Luciane
author Carvalho, Cícero
author_facet Carvalho, Cícero
Chara, María de Los Ángeles
Quoos, Luciane
author_role author
author2 Chara, María de Los Ángeles
Quoos, Luciane
author2_role author
author
dc.subject.none.fl_str_mv Codes
GrÖBner Basis
Towers of Function Fields
topic Codes
GrÖBner Basis
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 In this work we present the construction of evaluation codes defined from data coming from a tower of function fields. We use tools from Gröbner basis theory to calculate the dimension and find a lower bound for the minimum distance of these codes.
Fil: Carvalho, Cícero. Universidade Federal de Uberlandia;
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: Quoos, Luciane. Universidade Federal do Rio de Janeiro; Brasil
description In this work we present the construction of evaluation codes defined from data coming from a tower of function fields. We use tools from Gröbner basis theory to calculate the dimension and find a lower bound for the minimum distance of these codes.
publishDate 2018
dc.date.none.fl_str_mv 2018-11
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/11336/63499
Carvalho, Cícero; Chara, María de Los Ángeles; Quoos, Luciane; On evaluation codes coming from a tower of function fields; Academic Press Ltd - Elsevier Science Ltd; Journal Of Symbolic Computation; 89; 11-2018; 121-128
0747-7171
CONICET Digital
CONICET
url http://hdl.handle.net/11336/63499
identifier_str_mv Carvalho, Cícero; Chara, María de Los Ángeles; Quoos, Luciane; On evaluation codes coming from a tower of function fields; Academic Press Ltd - Elsevier Science Ltd; Journal Of Symbolic Computation; 89; 11-2018; 121-128
0747-7171
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jsc.2017.11.008
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
dc.publisher.none.fl_str_mv Academic Press Ltd - Elsevier Science Ltd
publisher.none.fl_str_mv Academic Press Ltd - Elsevier Science Ltd
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
_version_ 1842268756439465984
score 13.13397

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