Relating propelinear and binary G-linear codes

Detalhes bibliográficos
Autor(a) principal: Alves, MMS
Data de Publicação: 2002
Outros Autores: Geronimo, JR, Palazzo, R., Costa, SIR, Interlando, J. C., Araujo, M. C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/S0012-365X(01)00206-0
http://hdl.handle.net/11449/34797
Resumo: In this paper we establish the connections between two different extensions of Z(4)-linearity for binary Hamming spaces, We present both notions - propelinearity and G-linearity - in the context of isometries and group actions, taking the viewpoint of geometrically uniform codes extended to discrete spaces. We show a double inclusion relation: binary G-linear codes are propelinear codes, and translation-invariant propelinear codes are G-linear codes. (C) 2002 Elsevier B.V. B.V. All rights reserved.
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spelling Relating propelinear and binary G-linear codesbinary codesZ(4)-linearitypropelinear codesisometry groupsG-linearityIn this paper we establish the connections between two different extensions of Z(4)-linearity for binary Hamming spaces, We present both notions - propelinearity and G-linearity - in the context of isometries and group actions, taking the viewpoint of geometrically uniform codes extended to discrete spaces. We show a double inclusion relation: binary G-linear codes are propelinear codes, and translation-invariant propelinear codes are G-linear codes. (C) 2002 Elsevier B.V. B.V. All rights reserved.Univ Estadual Campinas, UNICAMP, Inst Matemat, Dept Matemat, BR-13081970 Campinas, SP, BrazilUniv Estadual Maringa, Dept Matemat, Maringa, Parana, BrazilUNICAMP, Dept Telemat, BR-13081970 Campinas, SP, BrazilUniv Estadual Paulista, UNESP, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, BrazilUFMT, Dept Matemat, Rondonopolis, BrazilUniv Estadual Paulista, UNESP, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, BrazilElsevier B.V.Universidade Estadual de Campinas (UNICAMP)Universidade Estadual de Maringá (UEM)Universidade Estadual Paulista (Unesp)Universidade Federal de Mato Grosso (UFMT)Alves, MMSGeronimo, JRPalazzo, R.Costa, SIRInterlando, J. C.Araujo, M. C.2014-05-20T15:24:08Z2014-05-20T15:24:08Z2002-01-28info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article187-194application/pdfhttp://dx.doi.org/10.1016/S0012-365X(01)00206-0Discrete Mathematics. Amsterdam: Elsevier B.V., v. 243, n. 1-3, p. 187-194, 2002.0012-365Xhttp://hdl.handle.net/11449/3479710.1016/S0012-365X(01)00206-0WOS:000173061500012WOS000173061500012.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengDiscrete Mathematics0.738info:eu-repo/semantics/openAccess2023-12-19T06:20:56Zoai:repositorio.unesp.br:11449/34797Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-12-19T06:20:56Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Relating propelinear and binary G-linear codes
title Relating propelinear and binary G-linear codes
spellingShingle Relating propelinear and binary G-linear codes
Alves, MMS
binary codes
Z(4)-linearity
propelinear codes
isometry groups
G-linearity
title_short Relating propelinear and binary G-linear codes
title_full Relating propelinear and binary G-linear codes
title_fullStr Relating propelinear and binary G-linear codes
title_full_unstemmed Relating propelinear and binary G-linear codes
title_sort Relating propelinear and binary G-linear codes
author Alves, MMS
author_facet Alves, MMS
Geronimo, JR
Palazzo, R.
Costa, SIR
Interlando, J. C.
Araujo, M. C.
author_role author
author2 Geronimo, JR
Palazzo, R.
Costa, SIR
Interlando, J. C.
Araujo, M. C.
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual de Campinas (UNICAMP)
Universidade Estadual de Maringá (UEM)
Universidade Estadual Paulista (Unesp)
Universidade Federal de Mato Grosso (UFMT)
dc.contributor.author.fl_str_mv Alves, MMS
Geronimo, JR
Palazzo, R.
Costa, SIR
Interlando, J. C.
Araujo, M. C.
dc.subject.por.fl_str_mv binary codes
Z(4)-linearity
propelinear codes
isometry groups
G-linearity
topic binary codes
Z(4)-linearity
propelinear codes
isometry groups
G-linearity
description In this paper we establish the connections between two different extensions of Z(4)-linearity for binary Hamming spaces, We present both notions - propelinearity and G-linearity - in the context of isometries and group actions, taking the viewpoint of geometrically uniform codes extended to discrete spaces. We show a double inclusion relation: binary G-linear codes are propelinear codes, and translation-invariant propelinear codes are G-linear codes. (C) 2002 Elsevier B.V. B.V. All rights reserved.
publishDate 2002
dc.date.none.fl_str_mv 2002-01-28
2014-05-20T15:24:08Z
2014-05-20T15:24:08Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/S0012-365X(01)00206-0
Discrete Mathematics. Amsterdam: Elsevier B.V., v. 243, n. 1-3, p. 187-194, 2002.
0012-365X
http://hdl.handle.net/11449/34797
10.1016/S0012-365X(01)00206-0
WOS:000173061500012
WOS000173061500012.pdf
url http://dx.doi.org/10.1016/S0012-365X(01)00206-0
http://hdl.handle.net/11449/34797
identifier_str_mv Discrete Mathematics. Amsterdam: Elsevier B.V., v. 243, n. 1-3, p. 187-194, 2002.
0012-365X
10.1016/S0012-365X(01)00206-0
WOS:000173061500012
WOS000173061500012.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Discrete Mathematics
0.738
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 187-194
application/pdf
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1792962119736492032

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