Codes and Expansions (CodEx) Seminar

Kaysie Rose (Iowa State University)
Dimension-counting bounds for equi-isoclinic subspaces

We present two new contributions to the theory of optimal subspace packings and equi-isoclinic subspaces: (1) a new upper bound for the number of r-dimensional equi-isoclinic subspaces in d-dimensional space, and (2) a proof that when d = 2r, a further refinement of this bound is attained for every r in the complex case and every r = 2^k in the real case.