DocumentCode
1078687
Title
Bounds for Codes in Products of Spaces, Grassmann, and Stiefel Manifolds
Author
Bachoc, Christine ; Ben-Haim, Yael ; Litsyn, Simon
Author_Institution
Lab. A2X, Univ. Bordeaux I, Talence
Volume
54
Issue
3
fYear
2008
fDate
3/1/2008 12:00:00 AM
Firstpage
1024
Lastpage
1035
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.
Keywords
codes; linear programming; Grassmann manifold; Stiefel manifold; codes; linear programming; minimum chordal distance; Code standards; Eigenvalues and eigenfunctions; Information theory; Linear programming; MIMO; Polynomials; Receiving antennas; Upper bound; Vectors; Coding theory; Grassman manifold; Stiefel manifold; minimum distance; multiple-input multiple output (MIMO); space–time codes; spherical codes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2007.915916
Filename
4455728
Link To Document