The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs

Autores
Podesta, Ricardo Alberto; Videla Guzman, Denis Eduardo
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We use known characterizations of generalized Paley graphs which areCartesian decomposable to explicitly compute the spectra of the corresponding associated irreducible cyclic codes. As applications, we give reduction formulas forthe number of rational points in Artin-Schreier curves defined over extension fields and to the computation of Gaussian periods.
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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Videla Guzman, Denis Eduardo. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Materia
IRREDUCIBLE CYCLIC CODES
GENERALIZED PALEY GRAPHS
SPECTRA
CARTESIAN DECOMPOSABLE.
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:11336/172747
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/172747
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphsPodesta, Ricardo AlbertoVidela Guzman, Denis EduardoIRREDUCIBLE CYCLIC CODESGENERALIZED PALEY GRAPHSSPECTRACARTESIAN DECOMPOSABLE.https://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We use known characterizations of generalized Paley graphs which areCartesian decomposable to explicitly compute the spectra of the corresponding associated irreducible cyclic codes. As applications, we give reduction formulas forthe number of rational points in Artin-Schreier curves defined over extension fields and to the computation of Gaussian periods.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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Videla Guzman, Denis Eduardo. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaAmerican Institute of Mathematical Sciences2021-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/172747Podesta, Ricardo Alberto; Videla Guzman, Denis Eduardo; The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs; American Institute of Mathematical Sciences; Advances In Mathematics Of Communications; 2-2021; 1-191930-53461930-5338CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.aimsciences.org/article/doi/10.3934/amc.2021002info:eu-repo/semantics/altIdentifier/doi/10.3934/amc.2021002info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:44:39Zoai:ri.conicet.gov.ar:11336/172747instacron: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:34982025-10-15 14:44:39.928CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs
title The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs
spellingShingle The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs
Podesta, Ricardo Alberto
IRREDUCIBLE CYCLIC CODES
GENERALIZED PALEY GRAPHS
SPECTRA
CARTESIAN DECOMPOSABLE.
title_short The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs
title_full The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs
title_fullStr The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs
title_full_unstemmed The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs
title_sort The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs
dc.creator.none.fl_str_mv Podesta, Ricardo Alberto
Videla Guzman, Denis Eduardo
author Podesta, Ricardo Alberto
author_facet Podesta, Ricardo Alberto
Videla Guzman, Denis Eduardo
author_role author
author2 Videla Guzman, Denis Eduardo
author2_role author
dc.subject.none.fl_str_mv IRREDUCIBLE CYCLIC CODES
GENERALIZED PALEY GRAPHS
SPECTRA
CARTESIAN DECOMPOSABLE.
topic IRREDUCIBLE CYCLIC CODES
GENERALIZED PALEY GRAPHS
SPECTRA
CARTESIAN DECOMPOSABLE.
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 use known characterizations of generalized Paley graphs which areCartesian decomposable to explicitly compute the spectra of the corresponding associated irreducible cyclic codes. As applications, we give reduction formulas forthe number of rational points in Artin-Schreier curves defined over extension fields and to the computation of Gaussian periods.
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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Videla Guzman, Denis Eduardo. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
description We use known characterizations of generalized Paley graphs which areCartesian decomposable to explicitly compute the spectra of the corresponding associated irreducible cyclic codes. As applications, we give reduction formulas forthe number of rational points in Artin-Schreier curves defined over extension fields and to the computation of Gaussian periods.
publishDate 2021
dc.date.none.fl_str_mv 2021-02
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/11336/172747
Podesta, Ricardo Alberto; Videla Guzman, Denis Eduardo; The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs; American Institute of Mathematical Sciences; Advances In Mathematics Of Communications; 2-2021; 1-19
1930-5346
1930-5338
CONICET Digital
CONICET
url http://hdl.handle.net/11336/172747
identifier_str_mv Podesta, Ricardo Alberto; Videla Guzman, Denis Eduardo; The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs; American Institute of Mathematical Sciences; Advances In Mathematics Of Communications; 2-2021; 1-19
1930-5346
1930-5338
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://www.aimsciences.org/article/doi/10.3934/amc.2021002
info:eu-repo/semantics/altIdentifier/doi/10.3934/amc.2021002
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 American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
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_ 1846082957483180032
score 13.22299

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