Column distances of convolutional codes over Z_{p^r}

Detalhes bibliográficos
Autor(a) principal: Napp, Diego
Data de Publicação: 2019
Outros Autores: Pinto, Raquel, Toste, Marisa
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/25808
Resumo: Maximum distance profile codes over finite nonbinary fields have been introduced and thoroughly studied in the last decade. These codes have the property that their column distances are maximal among all codes of the same rate and degree. In this paper, we aim at studying this fundamental concept in the context of convolutional codes over a finite ring. We extensively use the concept of p-encoder to establish the theoretical framework and derive several bounds on the column distances. In particular, a method for constructing (not necessarily free) maximum distance profile convolutional codes over Z_{p^r} is presented.
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spelling Column distances of convolutional codes over Z_{p^r}Convolutional codesFinite ringColumn distancesMaximum distance profileMaximum distance profile codes over finite nonbinary fields have been introduced and thoroughly studied in the last decade. These codes have the property that their column distances are maximal among all codes of the same rate and degree. In this paper, we aim at studying this fundamental concept in the context of convolutional codes over a finite ring. We extensively use the concept of p-encoder to establish the theoretical framework and derive several bounds on the column distances. In particular, a method for constructing (not necessarily free) maximum distance profile convolutional codes over Z_{p^r} is presented.IEEE2019-04-17T10:40:05Z2019-02-01T00:00:00Z2019-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/25808eng0018-944810.1109/TIT.2018.2870436Napp, DiegoPinto, RaquelToste, Marisainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-17T03:59:48ZPortal AgregadorONG
dc.title.none.fl_str_mv Column distances of convolutional codes over Z_{p^r}
title Column distances of convolutional codes over Z_{p^r}
spellingShingle Column distances of convolutional codes over Z_{p^r}
Napp, Diego
Convolutional codes
Finite ring
Column distances
Maximum distance profile
title_short Column distances of convolutional codes over Z_{p^r}
title_full Column distances of convolutional codes over Z_{p^r}
title_fullStr Column distances of convolutional codes over Z_{p^r}
title_full_unstemmed Column distances of convolutional codes over Z_{p^r}
title_sort Column distances of convolutional codes over Z_{p^r}
author Napp, Diego
author_facet Napp, Diego
Pinto, Raquel
Toste, Marisa
author_role author
author2 Pinto, Raquel
Toste, Marisa
author2_role author
author
dc.contributor.author.fl_str_mv Napp, Diego
Pinto, Raquel
Toste, Marisa
dc.subject.por.fl_str_mv Convolutional codes
Finite ring
Column distances
Maximum distance profile
topic Convolutional codes
Finite ring
Column distances
Maximum distance profile
description Maximum distance profile codes over finite nonbinary fields have been introduced and thoroughly studied in the last decade. These codes have the property that their column distances are maximal among all codes of the same rate and degree. In this paper, we aim at studying this fundamental concept in the context of convolutional codes over a finite ring. We extensively use the concept of p-encoder to establish the theoretical framework and derive several bounds on the column distances. In particular, a method for constructing (not necessarily free) maximum distance profile convolutional codes over Z_{p^r} is presented.
publishDate 2019
dc.date.none.fl_str_mv 2019-04-17T10:40:05Z
2019-02-01T00:00:00Z
2019-02
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://hdl.handle.net/10773/25808
url http://hdl.handle.net/10773/25808
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0018-9448
10.1109/TIT.2018.2870436
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IEEE
publisher.none.fl_str_mv IEEE
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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repository.mail.fl_str_mv
_version_ 1777303550120951808

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