Bounds on packings of spheres in the Grassmann manifold

Authors:
A. Barg;D. Yu. Nogin
Affiliations:
Lucent Technol. Bell Labs., Murray Hill, NJ;-
Venue:
IEEE Transactions on Information Theory
Year:
2006

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Abstract

We derive the Gilbert-Varshamov and Hamming bounds for packings of spheres (codes) in the Grassmann manifolds over R and C. Asymptotic expressions are obtained for the geodesic metric and projection Frobenius (chordal) metric on the manifold.