109 citations · 190 across the 4 of their papers we have counts for
4 papers
Packing Lines, Planes, etc.: Packings in Grassmannian Space
J. H. Conway, R. H. Hardin, N. J. A. Sloane
This paper addresses the question: how should N n-dimensional subspaces of m-dimensional Euclidean space be arranged so that they are as far apart as possible? The results of exten…
A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces
A. R. Calderbank, R. H. Hardin, E. M. Rains +2
By using totally isotropic subspaces in an orthogonal space Omega^{+}(2i,2), several infinite families of packings of 2^k-dimensional subspaces of real 2^i-dimensional space are co…
McLaren's Improved Snub Cube and Other New Spherical Designs in Three Dimensions
R. H. Hardin, N. J. A. Sloane
Evidence is presented to suggest that, in three dimensions, spherical 6-designs with N points exist for N=24, 26, >= 28; 7-designs for N=24, 30, 32, 34, >= 36; 8-designs for N=36,…
A nonadditive quantum code
Eric M. Rains, R. H. Hardin, Peter W. Shor +1
Up to now every good quantum error-correcting code discovered has had the structure of an eigenspace of an Abelian group generated by tensor products of Pauli matrices; such codes…