Por favor, use este identificador para citar o enlazar este ítem:
https://doi.org/10.1109/TIT.2015.2512594
Twittear
Título: | Apparent distance and a notion of BCH multivariate codes |
Fecha de publicación: | 2015 |
Editorial: | Institute of Electrical and Electronics Engineers |
Cita bibliográfica: | IEEE Transactions on Information Theory, 62 (2), 2015: 655 - 668. |
Resumen: | This paper is devoted to study two main problems: on the one hand, to compute the apparent distance of an abelian code and on the other hand, to give a notion of BCH multivariate code. To do this, we present an algorithm to compute the apparent distance of an abelian code, based on some manipulations of hypermatrices associated to its generating idempotent. Our method uses less computations than those given in [5] and [10]; furthermore, in the bivariate case, the order of the computations is reduced from exponential to linear. Then we use our techniques to develop a notion of BCH code in the multivariate case and we extend most of the classical results on BCH codes. Finally, we apply our method in two directions: we construct abelian codes from cyclic codes, multiplying their dimension and preserving their apparent distance; and we design abelian codes with maximum dimension with respect to a fixed apparent distance and a fixed length. |
Autor/es principal/es: | Bernal Buitrago, José Joaquín Bueno Carreño, Diana H. Simón Pinero, Juan Jacobo |
Facultad/Departamentos/Servicios: | Facultades, Departamentos, Servicios y Escuelas::Departamentos de la UMU:: Matemáticas |
URI: | http://hdl.handle.net/10201/138815 |
DOI: | https://doi.org/10.1109/TIT.2015.2512594 |
Tipo de documento: | info:eu-repo/semantics/article |
Número páginas / Extensión: | 14 |
Derechos: | info:eu-repo/semantics/openAccess Attribution-NoCommercial-NoDerivatives 4.0 Internacional |
Descripción: | ©2015. 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.2015.2512594 |
Aparece en las colecciones: | Artículos: Matemáticas |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
---|---|---|---|---|
Bernal Bueno Simon One Column.pdf | 387,02 kB | Adobe PDF | Visualizar/Abrir |
Este ítem está sujeto a una licencia Creative Commons Licencia Creative Commons