Comparing decoding methods for quaternary linear codes

Permutation decoding is a technique which involves finding a subset S, called PD-set, of the permutation automorphism group of a code C. Constructions of small PD-sets for partial decoding for two families of Z₄-linear codes (Hadamard and Kerdock) are given. Moreover, different decoding methods for...

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Autores: Barrolleta, Roland David, Pujol Capdevila, Jaume|||0000-0001-5221-3233, Villanueva, M.|||0000-0001-6179-0833
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:165799
Acceso en línea:https://ddd.uab.cat/record/165799
https://dx.doi.org/urn:doi:10.1016/j.endm.2016.09.049
Access Level:acceso abierto
Palabra clave:Z₄-linear codes
PD-sets
Decoding
Hadamard codes
Kerdock codes
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spelling Comparing decoding methods for quaternary linear codesBarrolleta, Roland DavidPujol Capdevila, Jaume|||0000-0001-5221-3233Villanueva, M.|||0000-0001-6179-0833Z₄-linear codesPD-setsDecodingHadamard codesKerdock codesPermutation decoding is a technique which involves finding a subset S, called PD-set, of the permutation automorphism group of a code C. Constructions of small PD-sets for partial decoding for two families of Z₄-linear codes (Hadamard and Kerdock) are given. Moreover, different decoding methods for Z₄-linear codes are compared by showing their performance applied to these two families. 22016-01-0120162016-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/165799https://dx.doi.org/urn:doi:10.1016/j.endm.2016.09.049reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio 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 2014/SGR-691open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/3.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1657992026-06-06T12:50:31Z
dc.title.none.fl_str_mv Comparing decoding methods for quaternary linear codes
title Comparing decoding methods for quaternary linear codes
spellingShingle Comparing decoding methods for quaternary linear codes
Barrolleta, Roland David
Z₄-linear codes
PD-sets
Decoding
Hadamard codes
Kerdock codes
title_short Comparing decoding methods for quaternary linear codes
title_full Comparing decoding methods for quaternary linear codes
title_fullStr Comparing decoding methods for quaternary linear codes
title_full_unstemmed Comparing decoding methods for quaternary linear codes
title_sort Comparing decoding methods for quaternary linear codes
dc.creator.none.fl_str_mv Barrolleta, Roland David
Pujol Capdevila, Jaume|||0000-0001-5221-3233
Villanueva, M.|||0000-0001-6179-0833
author Barrolleta, Roland David
author_facet Barrolleta, Roland David
Pujol Capdevila, Jaume|||0000-0001-5221-3233
Villanueva, M.|||0000-0001-6179-0833
author_role author
author2 Pujol Capdevila, Jaume|||0000-0001-5221-3233
Villanueva, M.|||0000-0001-6179-0833
author2_role author
author
dc.subject.none.fl_str_mv Z₄-linear codes
PD-sets
Decoding
Hadamard codes
Kerdock codes
topic Z₄-linear codes
PD-sets
Decoding
Hadamard codes
Kerdock codes
description Permutation decoding is a technique which involves finding a subset S, called PD-set, of the permutation automorphism group of a code C. Constructions of small PD-sets for partial decoding for two families of Z₄-linear codes (Hadamard and Kerdock) are given. Moreover, different decoding methods for Z₄-linear codes are compared by showing their performance applied to these two families.
publishDate 2016
dc.date.none.fl_str_mv 2
2016-01-01
2016
2016-01-01
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/165799
https://dx.doi.org/urn:doi:10.1016/j.endm.2016.09.049
url https://ddd.uab.cat/record/165799
https://dx.doi.org/urn:doi:10.1016/j.endm.2016.09.049
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv 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 2014/SGR-691
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/3.0/
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://creativecommons.org/licenses/by-nc-nd/3.0/
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
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