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https://doi.org/10.1109/TIT.2018.2868446
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| Título: | From ds-bounds for cyclic codes to true minimum distance for abelian codes |
| Fecha de publicación: | 2019 |
| Editorial: | IEEE |
| Cita bibliográfica: | IEEE Trans. Inform. Theory, 65(3) (2019), 1752-1763. |
| ISSN: | 1557-9654 0018-9448 |
| Palabras clave: | Abelian code Bounds for minimum distance Algorithm True minimum distance |
| Resumen: | In this paper we develop a technique to extend any bound for the minimum distance of cyclic codes constructed from its defining sets (ds-bounds) to abelian (or multivariate) codes through the notion of B-apparent distance. We also study conditions for an abelian code to verify that its B-apparent distance reaches its (true) minimum distance. Then we construct some codes as an application. |
| Autor/es principal/es: | Bernal Buitrago, José Joaquín Guerreiro, Marines Simón Pinero, Juan Jacobo |
| Facultad/Departamentos/Servicios: | Facultades, Departamentos, Servicios y Escuelas::Facultades de la UMU::Facultad de Matemáticas |
| URI: | http://hdl.handle.net/10201/137523 |
| DOI: | https://doi.org/10.1109/TIT.2018.2868446 |
| Tipo de documento: | info:eu-repo/semantics/article |
| Número páginas / Extensión: | 26 |
| Derechos: | info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
| Descripción: | ©2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ This document is the Accepted, version of a Published Work that appeared in final form in IEEE Transactions on Information Theory. To access the final edited and published work see https://doi.org/10.1109/TIT.2018.2868446 |
| Aparece en las colecciones: | Artículos: Matemáticas |
Ficheros en este ítem:
| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| DSBounds.pdf | 426,54 kB | Adobe PDF |  Visualizar/Abrir |
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