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| Título: | New advances in permutation decoding of first-order Reed-Muller codes |
| Fecha de publicación: | 2023 |
| Editorial: | Elsevier |
| Cita bibliográfica: | Finite Fields Appl. Vol. 88. 14 páginas. Artículo 102182. 2023. |
| ISSN: | 1090-2465 1071-5797 |
| Materias relacionadas: | CDU::5 - Ciencias puras y naturales::51 - Matemáticas::512 - Álgebra |
| Palabras clave: | Permutation decoding Reed Muller codes Algorithms |
| Resumen: | In this paper we describe a variation of the classical permutation decoding algorithm that can be applied to any affine-invariant code with respect to certain type of information sets. In particular, we can apply it to the family of first-order Reed-Muller codes with respect to the information sets introduced in \cite{BS}. Using this algortihm we improve considerably the number of errors we can correct in comparison with the known results in this topic. |
| Autor/es principal/es: | Bernal Buitrago, José Joaquín |
| Autor/es secundario/s: | Simón Pinero, Juan Jacobo |
| Facultad/Departamentos/Servicios: | Facultad de Matemáticas |
| Versión del editor: | https://www.sciencedirect.com/science/article/pii/S1071579723000242 |
| URI: | http://hdl.handle.net/10201/137524 |
| DOI: | https://doi.org/10.1016/j.ffa.2023.102182 |
| Tipo de documento: | info:eu-repo/semantics/article |
| Número páginas / Extensión: | 8 |
| Derechos: | info:eu-repo/semantics/embargoedAccess |
| Descripción: | ©2023. “Once the embargo has passed this document Will be 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 Finite Fields and Their Applications. To access the final edited and published work see https://doi.org/10.1016/j.ffa.2023.102182 |
| Aparece en las colecciones: | Artículos: Matemáticas |
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