Equivalence for flag codes
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10045/141556
Title: | Equivalence for flag codes |
---|---|
Authors: | Navarro-Pérez, Miguel Ángel | Soler-Escrivà, Xaro |
Research Group/s: | Grupo de Álgebra y Geometría (GAG) |
Center, Department or Service: | Universidad de Alicante. Departamento de Matemáticas |
Keywords: | Flag codes | Constant dimension code | (Semi)linear equivalence | Automorphism group |
Issue Date: | 7-Mar-2024 |
Publisher: | Elsevier |
Citation: | Linear Algebra and its Applications. 2024, 690: 1-26. https://doi.org/10.1016/j.laa.2024.03.003 |
Abstract: | 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. |
Sponsor: | 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 |
Type: | info:eu-repo/semantics/article |
Rights: | © 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/). |
Peer Review: | si |
Publisher version: | https://doi.org/10.1016/j.laa.2024.03.003 |
Appears in Collections: | INV - GAG - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Navarro-Perez_Soler-Escriva_2024_LinearAlgebraAppl.pdf | 489,51 kB | Adobe PDF | Open Preview | |
Items in RUA are protected by copyright, with all rights reserved, unless otherwise indicated.