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A Family of Optimal Packings in Grassmannian Manifolds

P. W. Shor·N. J. A. Sloane
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Abstract

A remarkable coincidence has led to the discovery of a family of packings of (m^2+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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P. W. Shor, N. J. A. Sloane. 2002-08-01. A Family of Optimal Packings in Grassmannian Manifolds. https://arxiv.org/abs/math/0208003

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