Criteria for the construction of MDS convolutional codes with good column distances

Bibliographic Details
Main Author: Abreu, Zita
Publication Date: 2024
Other Authors: Lieb, Julia, Pinto, Raquel, Rosenthal, Joachim
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/42577
Summary: Maximum-distance separable (MDS) convolutional codes are characterized by the property that their free distance reaches the generalized Singleton bound. In this paper, new criteria to construct MDS convolutional codes are presented. These codes also possess optimal first (reverse) column distances. The new criteria allow to relate the construction of MDS convolutional codes to those of reverse superregular Toeplitz matrices. Moreover, using the new criteria as well as the help of computer search, examples for MDS convolutional codes over small finite fields are given.
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spelling Criteria for the construction of MDS convolutional codes with good column distancesConvolutional codesColumn distancesMaximum-distance separable (MDS) convolutional codes are characterized by the property that their free distance reaches the generalized Singleton bound. In this paper, new criteria to construct MDS convolutional codes are presented. These codes also possess optimal first (reverse) column distances. The new criteria allow to relate the construction of MDS convolutional codes to those of reverse superregular Toeplitz matrices. Moreover, using the new criteria as well as the help of computer search, examples for MDS convolutional codes over small finite fields are given.AIMS2024-10-15T13:56:48Z2024-01-01T00:00:00Z2024info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/42577eng1930-534610.3934/amc.2023060Abreu, ZitaLieb, JuliaPinto, RaquelRosenthal, Joachiminfo: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:RCAAP2024-10-21T01:45:45Zoai:ria.ua.pt:10773/42577Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T19:00:01.635886Repositórios 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 Criteria for the construction of MDS convolutional codes with good column distances
title Criteria for the construction of MDS convolutional codes with good column distances
spellingShingle Criteria for the construction of MDS convolutional codes with good column distances
Abreu, Zita
Convolutional codes
Column distances
title_short Criteria for the construction of MDS convolutional codes with good column distances
title_full Criteria for the construction of MDS convolutional codes with good column distances
title_fullStr Criteria for the construction of MDS convolutional codes with good column distances
title_full_unstemmed Criteria for the construction of MDS convolutional codes with good column distances
title_sort Criteria for the construction of MDS convolutional codes with good column distances
author Abreu, Zita
author_facet Abreu, Zita
Lieb, Julia
Pinto, Raquel
Rosenthal, Joachim
author_role author
author2 Lieb, Julia
Pinto, Raquel
Rosenthal, Joachim
author2_role author
author
author
dc.contributor.author.fl_str_mv Abreu, Zita
Lieb, Julia
Pinto, Raquel
Rosenthal, Joachim
dc.subject.por.fl_str_mv Convolutional codes
Column distances
topic Convolutional codes
Column distances
description Maximum-distance separable (MDS) convolutional codes are characterized by the property that their free distance reaches the generalized Singleton bound. In this paper, new criteria to construct MDS convolutional codes are presented. These codes also possess optimal first (reverse) column distances. The new criteria allow to relate the construction of MDS convolutional codes to those of reverse superregular Toeplitz matrices. Moreover, using the new criteria as well as the help of computer search, examples for MDS convolutional codes over small finite fields are given.
publishDate 2024
dc.date.none.fl_str_mv 2024-10-15T13:56:48Z
2024-01-01T00:00:00Z
2024
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/10773/42577
url http://hdl.handle.net/10773/42577
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1930-5346
10.3934/amc.2023060
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 AIMS
publisher.none.fl_str_mv AIMS
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
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instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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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
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