A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces

Preprint

1 August 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0208002

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

GRASSMANNIAN SPACES
ISOTROPIC SUBSPACES
TOTALLY ISOTROPIC
ORTHOGONAL SPACE
ERROR CORRECTING
GROUP THEORETIC
K DIMENSIONAL
CONSTRUCTED
SUBSPACES

All Related Versions

Version 1, 2002-08-01, ArXiv

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