2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134360Applying the Riemann geometric machinery of volume estimates in terms of curvature, bounds for the minimal distance of packings/codes in the Grassmann and Stiefel manifolds will be derived and analyzed. In the context of space-time block codes this leads to a monotonically increasing minimal distance lower bound as a function of the block length. This advocates large block lengths for the code design.Replaced with final version, 11 pagesMetric GeometryInformation TheorySphere packing bounds in the Grassmann and Stiefel manifoldstext