Paper published in Information and Inference: A Journal of the IMA

The paper "Statistical characterization of the chordal product determinant of Grassmannian codes" co-authored by Javier Alvarez-Vizoso, Carlos Beltran, Diego Cuevas, Ignacio Santamaría, Vít Tuček, Gunnar Peters has been published in Information and Inference: A Journal of the IMA, vol. 12, issue 3, Sept 2023. doi:https://doi.org/10.1093/imaiai/iaad035

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.