Bounds on packings of spheres in the Grassmann manifold

被引：131

作者：

Barg, A

Yu, D

机构：

[1] Bell Labs, Lucent Technol, Murray Hill, NJ 07974 USA

[2] IPPI, RAN, Moscow 101447, Russia

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2002年 / 48卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

invariant measure; minimum distance; principal angles; volume bounds;

D O I：

10.1109/TIT.2002.801469

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：2450 / 2454

页数：5

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