A Family of Optimal Packings in Grassmannian Manifolds

Authors:
P. W. Shor;N. J. A. Sloane
Affiliations:
Information Sciences Research, AT&T Labs-Research, Florham Park, NJ 07932-0971.;Information Sciences Research, AT&T Labs-Research, Florham Park, NJ 07932-0971.
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
1998

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Abstract

A remarkable coincidence has led to the discovery of a family ofpackings of m^2 + m - 2 m/2-dimensional subspaces ofm-dimensional space, whenever m is a power of 2. These packings meet the“orthoplex bound” and are therefore optimal.