A Family of Optimal Packings in Grassmannian Manifolds
  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. 
P.W. Shor, N.J.A. Sloane