Families of completely transitive codes and distance transitive graphs

In a previous work, the authors found new families of linear binary completely regular codes with the covering radius ρ = 3 and ρ = 4. In this paper, the automorphism groups of such codes are computed and it is proven that the codes are not only completely regular, but also completely transitive. Fr...

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Detalles Bibliográficos
Autores: Borges, Joaquim|||0000-0002-5774-4874, Rifà i Coma, Josep|||0000-0001-9199-4001, Zinoviev, Victor|||0000-0002-7639-6115
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:142866
Acceso en línea:https://ddd.uab.cat/record/142866
https://dx.doi.org/urn:doi:10.1016/j.disc.2014.02.008
Access Level:acceso abierto
Palabra clave:Completely regular codes
Completely transitive codes
Distance regular graphs
Distance transitive graphs
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spelling Families of completely transitive codes and distance transitive graphsBorges, Joaquim|||0000-0002-5774-4874Rifà i Coma, Josep|||0000-0001-9199-4001Zinoviev, Victor|||0000-0002-7639-6115Completely regular codesCompletely transitive codesDistance regular graphsDistance transitive graphsIn a previous work, the authors found new families of linear binary completely regular codes with the covering radius ρ = 3 and ρ = 4. In this paper, the automorphism groups of such codes are computed and it is proven that the codes are not only completely regular, but also completely transitive. From these completely transitive codes, in the usual way, i.e., as coset graphs, new presentations of infinite families of distance transitive coset graphs of diameter three and four, respectively, are constructed. 22014-01-0120142014-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/142866https://dx.doi.org/urn:doi:10.1016/j.disc.2014.02.008reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 TIN2013-40524Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-1224open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1428662026-06-06T12:50:31Z
dc.title.none.fl_str_mv Families of completely transitive codes and distance transitive graphs
title Families of completely transitive codes and distance transitive graphs
spellingShingle Families of completely transitive codes and distance transitive graphs
Borges, Joaquim|||0000-0002-5774-4874
Completely regular codes
Completely transitive codes
Distance regular graphs
Distance transitive graphs
title_short Families of completely transitive codes and distance transitive graphs
title_full Families of completely transitive codes and distance transitive graphs
title_fullStr Families of completely transitive codes and distance transitive graphs
title_full_unstemmed Families of completely transitive codes and distance transitive graphs
title_sort Families of completely transitive codes and distance transitive graphs
dc.creator.none.fl_str_mv Borges, Joaquim|||0000-0002-5774-4874
Rifà i Coma, Josep|||0000-0001-9199-4001
Zinoviev, Victor|||0000-0002-7639-6115
author Borges, Joaquim|||0000-0002-5774-4874
author_facet Borges, Joaquim|||0000-0002-5774-4874
Rifà i Coma, Josep|||0000-0001-9199-4001
Zinoviev, Victor|||0000-0002-7639-6115
author_role author
author2 Rifà i Coma, Josep|||0000-0001-9199-4001
Zinoviev, Victor|||0000-0002-7639-6115
author2_role author
author
dc.subject.none.fl_str_mv Completely regular codes
Completely transitive codes
Distance regular graphs
Distance transitive graphs
topic Completely regular codes
Completely transitive codes
Distance regular graphs
Distance transitive graphs
description In a previous work, the authors found new families of linear binary completely regular codes with the covering radius ρ = 3 and ρ = 4. In this paper, the automorphism groups of such codes are computed and it is proven that the codes are not only completely regular, but also completely transitive. From these completely transitive codes, in the usual way, i.e., as coset graphs, new presentations of infinite families of distance transitive coset graphs of diameter three and four, respectively, are constructed.
publishDate 2014
dc.date.none.fl_str_mv 2
2014-01-01
2014
2014-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/142866
https://dx.doi.org/urn:doi:10.1016/j.disc.2014.02.008
url https://ddd.uab.cat/record/142866
https://dx.doi.org/urn:doi:10.1016/j.disc.2014.02.008
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 TIN2013-40524
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-1224
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
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