A Simple Construction for the Barnes-Wall Lattices

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dc.creatorNebe, G.
dc.creatorRains, E. M.
dc.creatorSloane, N. J. A.
dc.date2002-07-22
dc.date.accessioned2026-07-07T08:18:09Z
dc.date.available2026-07-07T08:18:09Z
dc.descriptionA certain family of orthogonal groups (called "Clifford groups" by G. E. Wall) has arisen in a variety of different contexts in recent years. These groups have a simple definition as the automorphism groups of certain generalized Barnes-Wall lattices. This leads to an especially simple construction for the usual Barnes-Wall lattices. This is based on the third author's talk at the Forney-Fest, M.I.T., March 2000, which in turn is based on our paper "The Invariants of the Clifford Groups", Designs, Codes, Crypt., 24 (2001), 99--121, to which the reader is referred for further details and proofs.
dc.description10 pp., 2 figs.; To Dave Forney, on the occasion of his sixtieth birthday
dc.identifierhttps://arxiv.org/abs/math/0207186
dc.identifierhttp://arxiv.org/abs/math/0207186
dc.identifierCodes, Graphs, and Systems: A Celebraton of the Life and Career of G. David Forney Jr., ed. R. E. Blahut and R. Koetter, Kluwer, 2002, pp. 333-342
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134336
dc.subjectCombinatorics
dc.subjectInformation Theory
dc.subject11H06 (52C99)
dc.titleA Simple Construction for the Barnes-Wall Lattices
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