A new class of superregular matrices and MDP convolutional codes

Detalhes bibliográficos
Autor(a) principal: Almeida, Paulo J.
Data de Publicação: 2013
Outros Autores: Pinto, Raquel, Napp, Diego
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/14938
Resumo: This paper deals with the problem of constructing superregular matrices that lead to MDP convolutional codes. These matrices are a type of lower block triangular Toeplitz matrices with the property that all the square submatrices that can possibly be nonsingular due to the lower block triangular structure are nonsingular. We present a new class of matrices that are superregular over a sufficiently large finite field F . Such construction works for any given choice of characteristic of the field F and code parameters ( n , k ,δ) such that ( n − k ) | δ . We also discuss the size of F needed so that the proposed matrices are superregular.
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spelling A new class of superregular matrices and MDP convolutional codesSuperregular matricesConvolutional codesColumn distancesMaximum distance profileMDPThis paper deals with the problem of constructing superregular matrices that lead to MDP convolutional codes. These matrices are a type of lower block triangular Toeplitz matrices with the property that all the square submatrices that can possibly be nonsingular due to the lower block triangular structure are nonsingular. We present a new class of matrices that are superregular over a sufficiently large finite field F . Such construction works for any given choice of characteristic of the field F and code parameters ( n , k ,δ) such that ( n − k ) | δ . We also discuss the size of F needed so that the proposed matrices are superregular.Elsevier2015-12-09T13:07:36Z2013-10-01T00:00:00Z2013-10info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/14938eng0024-379510.1016/j.laa.2013.06.013Almeida, Paulo J.Pinto, RaquelNapp, Diegoinfo: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:RCAAP2024-02-22T11:27:23Zoai:ria.ua.pt:10773/14938Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:22.912461Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv A new class of superregular matrices and MDP convolutional codes
title A new class of superregular matrices and MDP convolutional codes
spellingShingle A new class of superregular matrices and MDP convolutional codes
Almeida, Paulo J.
Superregular matrices
Convolutional codes
Column distances
Maximum distance profile
MDP
title_short A new class of superregular matrices and MDP convolutional codes
title_full A new class of superregular matrices and MDP convolutional codes
title_fullStr A new class of superregular matrices and MDP convolutional codes
title_full_unstemmed A new class of superregular matrices and MDP convolutional codes
title_sort A new class of superregular matrices and MDP convolutional codes
author Almeida, Paulo J.
author_facet Almeida, Paulo J.
Pinto, Raquel
Napp, Diego
author_role author
author2 Pinto, Raquel
Napp, Diego
author2_role author
author
dc.contributor.author.fl_str_mv Almeida, Paulo J.
Pinto, Raquel
Napp, Diego
dc.subject.por.fl_str_mv Superregular matrices
Convolutional codes
Column distances
Maximum distance profile
MDP
topic Superregular matrices
Convolutional codes
Column distances
Maximum distance profile
MDP
description This paper deals with the problem of constructing superregular matrices that lead to MDP convolutional codes. These matrices are a type of lower block triangular Toeplitz matrices with the property that all the square submatrices that can possibly be nonsingular due to the lower block triangular structure are nonsingular. We present a new class of matrices that are superregular over a sufficiently large finite field F . Such construction works for any given choice of characteristic of the field F and code parameters ( n , k ,δ) such that ( n − k ) | δ . We also discuss the size of F needed so that the proposed matrices are superregular.
publishDate 2013
dc.date.none.fl_str_mv 2013-10-01T00:00:00Z
2013-10
2015-12-09T13:07:36Z
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/10773/14938
url http://hdl.handle.net/10773/14938
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0024-3795
10.1016/j.laa.2013.06.013
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 Elsevier
publisher.none.fl_str_mv Elsevier
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)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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