A Family of Optimal Packings in Grassmannian Manifolds

Preprint

1 August 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0208003

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.

Keywords

GRASSMANNIAN MANIFOLDS
DIMENSIONAL SUBSPACES
OPTIMAL PACKINGS
ORTHOPLEX BOUND
M/2 DIMENSIONAL
PACKINGS MEET
ORTHOPLEX

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Version 1, 2002-08-01, ArXiv

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