@article{10902/31748, year = {2023}, month = {9}, url = {https://hdl.handle.net/10902/31748}, 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.}, organization = {This work was supported by Huawei Technologies, Sweden AB; Ministerio de Universidades (MIU), Spain, [FPU20/03563 to D.C.]; and the Ministerio de Ciencia e Innovación/Agencia Estatal de Investigación MCIN/AEI/10.13039/501100011033, Spain, [PID2020-113887GB-I00 to C.B., PID2019-104958RB-C43 to I.S.].}, publisher = {Oxford University Press}, publisher = {Information and Inference: a Journal of the IMA, 2023, 12(3), 2406-2422}, title = {Statistical characterization of the chordal product determinant of Grassmannian codes}, author = {Álvarez Vizoso, Javier and Beltrán Álvarez, Carlos and Cuevas Fernández, Diego and Santamaría Caballero, Luis Ignacio and Tucek, Vít and Peters, Gunnar}, }