Statistical characterization of the chordal product determinant of Grassmannian codes

Ver/Abrir
Identificadores
URI: https://hdl.handle.net/10902/31748
ISSN: 2049-8772
ISSN: 2049-8764
Compartir
Estadísticas
Ver Estadísticas
Google Scholar
Registro completo
Mostrar el registro completo DC
Autoría
Álvarez Vizoso, JavierAutoridad Unican; Beltrán Álvarez, CarlosAutoridad Unican; Cuevas Fernández, DiegoAutoridad Unican; Santamaría Caballero, Luis IgnacioAutoridad Unican; Tucek, Vít; Peters, Gunnar
Fecha
2023-09
Derechos
© The Author(s) 2023. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved. This is a pre-copyedited, author-produced PDF of an article accepted for publication in Information and Inference following peer review. The version of record: Álvarez-Vizoso, J., Beltrán, C., Cuevas, D., Santamaría, I., Tuček, V., & Peters, G. (2023). Statistical characterization of the chordal product determinant of Grassmannian codes. Information and Inference: A Journal of the IMA, 12(3), 2406-2422. https://doi.org/10.1093/imaiai/iaad035 is available online at: https://academic.oup.com/imaiai/article-abstract/12/3/2406/7256135?redirectedFrom=fulltext
Publicado en
Information and Inference: a Journal of the IMA, 2023, 12(3), 2406-2422
Editorial
Oxford University Press
Enlace a la publicación
Resumen/Abstract
We consider the chordal product determinant, a measure of the distance between two subspaces of the same dimension. In information theory, collections of elements in the complex Grassmannian are searched with the property that their pairwise chordal products are as large as possible. We characterize this function from an statistical perspective, which allows us to obtain bounds for the minimal chordal product and related energy of such collections.
Colecciones a las que pertenece