A Family of Optimal Packings in Grassmannian Manifolds

2002/08/01 by P. W. Shor, N. J. A. Sloane · 1 citation
Mathematics · #math.CO #msc:51E15

paper · pdf

published as J. Algebraic Combinatorics, 7 (1998), 157-163 · 8 pages, 1 figure

arxiv created 2002/08/01 · arxiv updated 2009/11/30

Abstract

A remarkable coincidence has led to the discovery of a family of packings of (m²+m-2) m/2-dimensional subspaces of m-dimensional space, whenever m is a power of 2. These packings meet the ``orthoplex bound'' and are therefore optimal.

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