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arxiv: math/0208003 · v1 · submitted 2002-08-01 · 🧮 math.CO

A Family of Optimal Packings in Grassmannian Manifolds

P.W. Shor , N.J.A. Sloane This is my paper
classification 🧮 math.CO
keywords packingsfamilyoptimalboundcoincidencedimensionaldiscoverygrassmannian
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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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  1. Z-Opt: A Near-Optimal Reduced-Complexity Two-Dimensional Grassmannian Constellation

    cs.IT 2026-05 unverdicted novelty 6.0

    S-Opt and Z-Opt deliver near-optimal 2D Grassmannian constellations via sphere packing and polygon stacking on the Bloch sphere, paired with linear-complexity detectors.