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
Descripción
Sumario:[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.