Permutation decoding of Z₂Z₄-linear codes

An alternative permutation decoding method is described which can be used for any binary systematic encoding scheme, regardless whether the code is linear or not. Thus, the method can be applied to some important codessuch as Z₂Z₄ -linear codes, which are binary and, in general, nonlinear codes in t...

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Autores: Bernal, José Joaquín, Borges, Joaquim|||0000-0002-5774-4874, Fernández Córdoba, Cristina|||0000-0001-5880-144X, Villanueva, M.|||0000-0001-6179-0833
Formato: artículo
Fecha de publicación:2015
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:142847
Acesso em linha:https://ddd.uab.cat/record/142847
https://dx.doi.org/urn:doi:10.1007/s10623-014-9946-4
Access Level:acceso abierto
Palavra-chave:Permutation decoding
Z₂Z₄ -linear codes
Hadamard codes
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spelling Permutation decoding of Z₂Z₄-linear codesBernal, José JoaquínBorges, Joaquim|||0000-0002-5774-4874Fernández Córdoba, Cristina|||0000-0001-5880-144XVillanueva, M.|||0000-0001-6179-0833Permutation decodingZ₂Z₄ -linear codesHadamard codesAn alternative permutation decoding method is described which can be used for any binary systematic encoding scheme, regardless whether the code is linear or not. Thus, the method can be applied to some important codessuch as Z₂Z₄ -linear codes, which are binary and, in general, nonlinear codes in the usual sense. For this, it is proved that these codes allow a systematic encoding scheme. As particular examples, this permutation decoding method is applied to some Hadamard Z₂Z₄ -linear codes. 22015-01-0120152015-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/142847https://dx.doi.org/urn:doi:10.1007/s10623-014-9946-4reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 TIN2010-17358Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 TIN2013-40524-PAgència 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:1428472026-06-06T12:50:31Z
dc.title.none.fl_str_mv Permutation decoding of Z₂Z₄-linear codes
title Permutation decoding of Z₂Z₄-linear codes
spellingShingle Permutation decoding of Z₂Z₄-linear codes
Bernal, José Joaquín
Permutation decoding
Z₂Z₄ -linear codes
Hadamard codes
title_short Permutation decoding of Z₂Z₄-linear codes
title_full Permutation decoding of Z₂Z₄-linear codes
title_fullStr Permutation decoding of Z₂Z₄-linear codes
title_full_unstemmed Permutation decoding of Z₂Z₄-linear codes
title_sort Permutation decoding of Z₂Z₄-linear codes
dc.creator.none.fl_str_mv Bernal, José Joaquín
Borges, Joaquim|||0000-0002-5774-4874
Fernández Córdoba, Cristina|||0000-0001-5880-144X
Villanueva, M.|||0000-0001-6179-0833
author Bernal, José Joaquín
author_facet Bernal, José Joaquín
Borges, Joaquim|||0000-0002-5774-4874
Fernández Córdoba, Cristina|||0000-0001-5880-144X
Villanueva, M.|||0000-0001-6179-0833
author_role author
author2 Borges, Joaquim|||0000-0002-5774-4874
Fernández Córdoba, Cristina|||0000-0001-5880-144X
Villanueva, M.|||0000-0001-6179-0833
author2_role author
author
author
dc.subject.none.fl_str_mv Permutation decoding
Z₂Z₄ -linear codes
Hadamard codes
topic Permutation decoding
Z₂Z₄ -linear codes
Hadamard codes
description An alternative permutation decoding method is described which can be used for any binary systematic encoding scheme, regardless whether the code is linear or not. Thus, the method can be applied to some important codessuch as Z₂Z₄ -linear codes, which are binary and, in general, nonlinear codes in the usual sense. For this, it is proved that these codes allow a systematic encoding scheme. As particular examples, this permutation decoding method is applied to some Hadamard Z₂Z₄ -linear codes.
publishDate 2015
dc.date.none.fl_str_mv 2
2015-01-01
2015
2015-01-01
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
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/142847
https://dx.doi.org/urn:doi:10.1007/s10623-014-9946-4
url https://ddd.uab.cat/record/142847
https://dx.doi.org/urn:doi:10.1007/s10623-014-9946-4
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 TIN2010-17358
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 TIN2013-40524-P
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
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
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