2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64636By using totally isotropic subspaces in an orthogonal space Omega^{+}(2i,2), several infinite families of packings of 2^k-dimensional subspaces of real 2^i-dimensional space are constructed, some of which are shown to be optimal packings. A certain Clifford group underlies the construction and links this problem with Barnes-Wall lattices, Kerdock sets and quantum-error-correcting codes.15 pagesCombinatorics51E15 (51E23)text