A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces

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dc.creatorCalderbank, A. R.
dc.creatorHardin, R. H.
dc.creatorRains, E. M.
dc.creatorShor, P. W.
dc.creatorSloane, N. J. A.
dc.date2002-08-01
dc.date.accessioned2026-07-07T04:49:58Z
dc.date.available2026-07-07T04:49:58Z
dc.descriptionBy 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.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0208002
dc.identifierhttp://arxiv.org/abs/math/0208002
dc.identifierJ. Algebraic Combinatorics, 9 (1999), 129-140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64636
dc.subjectCombinatorics
dc.subject51E15 (51E23)
dc.titleA Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces
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