A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces
Combinatorics
2007-05-23 v1
Abstract
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 constructed, some of which are shown to be optimal packings. A certain Clifford group underlies the construction and links this problem with Barnes-Wall lattices, Kerdock sets and quantum-error-correcting codes.
Keywords
Cite
@article{arxiv.math/0208002,
title = {A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces},
author = {A. R. Calderbank and R. H. Hardin and E. M. Rains and P. W. Shor and N. J. A. Sloane},
journal= {arXiv preprint arXiv:math/0208002},
year = {2007}
}
Comments
15 pages