Flag Codes: Distance Vectors and Cardinality Bounds
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Campo DC | Valor | Idioma |
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dc.contributor | Grupo de Álgebra y Geometría (GAG) | es_ES |
dc.contributor.author | Alonso-González, Clementa | - |
dc.contributor.author | Navarro-Pérez, Miguel Ángel | - |
dc.contributor.author | Soler-Escrivà, Xaro | - |
dc.contributor.other | Universidad de Alicante. Departamento de Matemáticas | es_ES |
dc.date.accessioned | 2022-09-26T06:29:36Z | - |
dc.date.available | 2022-09-26T06:29:36Z | - |
dc.date.issued | 2022-09-21 | - |
dc.identifier.citation | Linear Algebra and its Applications. 2023, 656: 27-62. https://doi.org/10.1016/j.laa.2022.09.016 | es_ES |
dc.identifier.issn | 0024-3795 (Print) | - |
dc.identifier.issn | 1873-1856 (Online) | - |
dc.identifier.uri | http://hdl.handle.net/10045/127517 | - |
dc.description.abstract | Given Fq the finite field with q elements and an integer n > 2, a flag is a sequence of nested subspaces of Fnq and a flag code is a nonempty set of flags. In this context, the distance between flags is the sum of the corresponding subspace distances. Hence, a given flag distance value might be obtained by many different combinations. To capture such a variability, in the paper at hand, we introduce the notion of distance vector as an algebraic object intrinsically associated to a flag code that encloses much more information than the distance parameter itself. Our study of the flag distance by using this new tool allows us to provide a fine description of the structure of flag codes as well as to derive bounds for their maximum possible size once the minimum distance and dimensions are fixed. | es_ES |
dc.description.sponsorship | The authors received financial support of Ministerio de Ciencia e Innovación (PID2019-108668GB-I00). The second author is supported by Generalitat Valenciana and Fondo Social Europeo (ACIF/2018/196). | es_ES |
dc.language | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.rights | © 2022 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). | es_ES |
dc.subject | Network coding | es_ES |
dc.subject | Flag codes | es_ES |
dc.subject | Flag distance | es_ES |
dc.subject | Bounds | es_ES |
dc.title | Flag Codes: Distance Vectors and Cardinality Bounds | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.peerreviewed | si | es_ES |
dc.identifier.doi | 10.1016/j.laa.2022.09.016 | - |
dc.relation.publisherversion | https://doi.org/10.1016/j.laa.2022.09.016 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108668GB-I00 | es_ES |
Aparece en las colecciones: | INV - GAG - Artículos de Revistas |
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Alonso-Gonzalez_etal_2022_LinearAlgebraAppl.pdf | 602,43 kB | Adobe PDF | Abrir Vista previa | |
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