Equivalence for flag codes
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Título: | Equivalence for flag codes |
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Autor/es: | Navarro-Pérez, Miguel Ángel | Soler-Escrivà, Xaro |
Grupo/s de investigación o GITE: | Grupo de Álgebra y Geometría (GAG) |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemáticas |
Palabras clave: | Flag codes | Constant dimension code | (Semi)linear equivalence | Automorphism group |
Fecha de publicación: | 7-mar-2024 |
Editor: | Elsevier |
Cita bibliográfica: | Linear Algebra and its Applications. 2024, 690: 1-26. https://doi.org/10.1016/j.laa.2024.03.003 |
Resumen: | Given a finite field Fq and a positive integer n, a flagis a sequence of nested Fq-subspaces of a vector space Fnq and a flag code is a nonempty collection of flags. The projected codes of a flag code are the constant dimension codes containing all the subspaces of prescribed dimensions that form the flags in the flag code. In this paper we address the notion of equivalence for flag codes and explore in which situations such an equivalence can be reduced to the equivalence of the corresponding projected codes. In addition, this study leads to new results concerning the automorphism group of certain families of flag codes, some of them also introduced in this paper. |
Patrocinador/es: | The authors received financial support of Ministerio de Ciencia e Innovación (PID2022-142159OB-I00) and Conselleria de Innovación, Universidades, Ciencia y Sociedad Digital (CIAICO/2022/167). |
URI: | http://hdl.handle.net/10045/141556 |
ISSN: | 0024-3795 (Print) | 1873-1856 (Online) |
DOI: | 10.1016/j.laa.2024.03.003 |
Tipo: | info:eu-repo/semantics/article |
Derechos: | © 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/). |
Revisión científica: | si |
Versión del editor: | https://doi.org/10.1016/j.laa.2024.03.003 |
Aparece en las colecciones: | INV - GAG - Artículos de Revistas |
Archivos en este ítem:
Archivo | Descripción | Tamaño | Formato | |
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Navarro-Perez_Soler-Escriva_2024_LinearAlgebraAppl.pdf | 489,51 kB | Adobe PDF | Abrir Vista previa | |
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