Construction of observable and MDP convolutional codes with good decodable properties by ISO representations

[EN] This paper addresses the construction of observable and maximum distance profile convolutional codes over finite fields that exhibit good performance with some available decoding algorithms for convolutional codes. Our construction is based on the use of input/state/output representations and t...

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Detalles Bibliográficos
Autores: Castro García, Noemí de, Carriegos Vieira, Miguel, Muñoz Castañeda, Ángel Luis
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2026
País:España
Institución:Universidad de León
Repositorio:BULERIA. Repositorio Institucional de la Universidad de León
OAI Identifier:oai:dnet:buleria_____::081f4a7b906127b673aa7c37f45489f1
Acceso en línea:https://hdl.handle.net/10612/28489
Access Level:acceso abierto
Palabra clave:Matemáticas
Convolutional codes
Linear systems
Decoding
Maximum distance profile
12 Matemáticas
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spelling Construction of observable and MDP convolutional codes with good decodable properties by ISO representationsCastro García, Noemí deCarriegos Vieira, MiguelMuñoz Castañeda, Ángel LuisMatemáticasConvolutional codesLinear systemsDecodingMaximum distance profile12 Matemáticas[EN] This paper addresses the construction of observable and maximum distance profile convolutional codes over finite fields that exhibit good performance with some available decoding algorithms for convolutional codes. Our construction is based on the use of input/state/output representations and the invariance of certain properties of linear systems under various group actions. This framework allows us to systematically generate new convolutional codes from existing ones while preserving key decoding and distance properties.SIThis work has been part of the project no. TED2021-131158A-I00, funded by MCIN/AEI/ 10.13039/501100011033 and by the European Union within NextGenerationEU/PRTR.ACMMatematica AplicadaEscuela de Ingenierias Industrial, Informática y Aeroespacial2026info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttps://hdl.handle.net/10612/28489reponame:BULERIA. Repositorio Institucional de la Universidad de Leóninstname:Universidad de LeónIngléshttp://creativecommons.org/licenses/by-nc-nd/3.0/info:eu-repo/semantics/openAccessoai:dnet:buleria_____::081f4a7b906127b673aa7c37f45489f12026-06-24T12:43:27Z
dc.title.none.fl_str_mv Construction of observable and MDP convolutional codes with good decodable properties by ISO representations
title Construction of observable and MDP convolutional codes with good decodable properties by ISO representations
spellingShingle Construction of observable and MDP convolutional codes with good decodable properties by ISO representations
Castro García, Noemí de
Matemáticas
Convolutional codes
Linear systems
Decoding
Maximum distance profile
12 Matemáticas
title_short Construction of observable and MDP convolutional codes with good decodable properties by ISO representations
title_full Construction of observable and MDP convolutional codes with good decodable properties by ISO representations
title_fullStr Construction of observable and MDP convolutional codes with good decodable properties by ISO representations
title_full_unstemmed Construction of observable and MDP convolutional codes with good decodable properties by ISO representations
title_sort Construction of observable and MDP convolutional codes with good decodable properties by ISO representations
dc.creator.none.fl_str_mv Castro García, Noemí de
Carriegos Vieira, Miguel
Muñoz Castañeda, Ángel Luis
author Castro García, Noemí de
author_facet Castro García, Noemí de
Carriegos Vieira, Miguel
Muñoz Castañeda, Ángel Luis
author_role author
author2 Carriegos Vieira, Miguel
Muñoz Castañeda, Ángel Luis
author2_role author
author
dc.contributor.none.fl_str_mv Matematica Aplicada
Escuela de Ingenierias Industrial, Informática y Aeroespacial
dc.subject.none.fl_str_mv Matemáticas
Convolutional codes
Linear systems
Decoding
Maximum distance profile
12 Matemáticas
topic Matemáticas
Convolutional codes
Linear systems
Decoding
Maximum distance profile
12 Matemáticas
description [EN] This paper addresses the construction of observable and maximum distance profile convolutional codes over finite fields that exhibit good performance with some available decoding algorithms for convolutional codes. Our construction is based on the use of input/state/output representations and the invariance of certain properties of linear systems under various group actions. This framework allows us to systematically generate new convolutional codes from existing ones while preserving key decoding and distance properties.
publishDate 2026
dc.date.none.fl_str_mv 2026
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/10612/28489
url https://hdl.handle.net/10612/28489
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/3.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/3.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv ACM
publisher.none.fl_str_mv ACM
dc.source.none.fl_str_mv reponame:BULERIA. Repositorio Institucional de la Universidad de León
instname:Universidad de León
instname_str Universidad de León
reponame_str BULERIA. Repositorio Institucional de la Universidad de León
collection BULERIA. Repositorio Institucional de la Universidad de León
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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