Column distances of convolutional codes over Z_p^r

Bibliographic Details
Main Author: Napp, Diego
Publication Date: 2019
Other Authors: Pinto, Raquel, Toste, Marisa
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/25501
Summary: 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 Zpr is presented.
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spelling Column distances of convolutional codes over Z_p^rConvolutional 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 Zpr is presented.Institute of Electrical and Electronics Engineers2019-03-07T11:07:15Z2019-02-01T00:00:00Z2019-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/25501eng0018-944810.1109/TIT.2018.2870436Napp, DiegoPinto, RaquelToste, Marisainfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:19:23Zoai:ria.ua.pt:10773/25501Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:04:25.999566Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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 Zpr is presented.
publishDate 2019
dc.date.none.fl_str_mv 2019-03-07T11:07:15Z
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/10773/25501
url http://hdl.handle.net/10773/25501
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 Institute of Electrical and Electronics Engineers
publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833594268635103232

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