Consistent Flag Codes
Por favor, use este identificador para citar o enlazar este ítem:
http://hdl.handle.net/10045/111266
| Título: | Consistent Flag Codes |
|---|---|
| Autor/es: | Alonso-González, Clementa | Navarro-Pérez, Miguel Ángel |
| Grupo/s de investigación o GITE: | Grupo de Álgebra y Geometría (GAG) |
| Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemáticas |
| Palabras clave: | Network coding | Flag codes | Constant dimension codes | Equidistant codes | Sunflowers |
| Área/s de conocimiento: | Geometría y Topología |
| Fecha de publicación: | 17-dic-2020 |
| Editor: | MDPI |
| Cita bibliográfica: | Alonso-González C, Navarro-Pérez MÁ. Consistent Flag Codes. Mathematics. 2020; 8(12):2234. https://doi.org/10.3390/math8122234 |
| Resumen: | In this paper we study flag codes on Fnq, being Fq the finite field with q elements. Special attention is given to the connection between the parameters and properties of a flag code and the ones of a family of constant dimension codes naturally associated to it (the projected codes). More precisely, we focus on consistent flag codes, that is, flag codes whose distance and size are completely determined by their projected codes. We explore some aspects of this family of codes and present examples of them by generalizing the concepts of equidistant and sunflower subspace code to the flag codes setting. Finally, we present a decoding algorithm for consistent flag codes that fully exploits the consistency condition. |
| Patrocinador/es: | The authors receive financial support from Ministerio de Ciencia e Innovación (PID2019-108668GB-I00). The second author is supported by Generalitat Valenciana and Fondo Social Europeo (ACIF/2018/196). |
| URI: | http://hdl.handle.net/10045/111266 |
| ISSN: | 2227-7390 |
| DOI: | 10.3390/math8122234 |
| Idioma: | eng |
| Tipo: | info:eu-repo/semantics/article |
| Derechos: | © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
| Revisión científica: | si |
| Versión del editor: | https://doi.org/10.3390/math8122234 |
| Aparece en las colecciones: | INV - GAG - Artículos de Revistas |
Archivos en este ítem:
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
 Alonso-Gonzalez_Navarro-Perez_2020_Mathematics.pdf | 315,05 kB | Adobe PDF | Abrir Vista previa | |
Ver citas en Google Académico
Este ítem está licenciado bajo Licencia Creative Commons
