Bounds for Codes in Products of Spaces, Grassmann, and Stiefel Manifolds

Abstract

Upper bounds are derived for codes in Stiefel and Grassmann manifolds with given minimum chordal distance. They stem from upper bounds for codes in the product of unit spheres and projective spaces. The new bounds are asymptotically better than the previously known ones.

DOI: 10.1109/TIT.2007.915916

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Cite this paper

@article{Bachoc2008BoundsFC, title={Bounds for Codes in Products of Spaces, Grassmann, and Stiefel Manifolds}, author={Christine Bachoc and Yael Ben-Haim and Simon Litsyn}, journal={IEEE Transactions on Information Theory}, year={2008}, volume={54}, pages={1024-1035} }