On the Epsilon-entropy of One Class of Ellipsoids in a Hamming Space

On the Epsilon-entropy of One Class of Ellipsoids in a Hamming Space The asymptotic behavior of the ε-entropy of ellipsoids in an n-dimensional Hamming space whose coefficients take only two different values is investigated as n → ∞. Explicit expressions for the main terms of the asymptotic expansion of ε-entropy of such ellipsoids are obtained under various relations between ε and parameters that define these ellipsoids. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

On the Epsilon-entropy of One Class of Ellipsoids in a Hamming Space

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Publisher
Kluwer Academic Publishers-Plenum Publishers
Copyright
Copyright © 2002 by MAIK “Nauka/Interperiodica”
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1023/A:1020006609599
Publisher site
See Article on Publisher Site

Abstract

The asymptotic behavior of the ε-entropy of ellipsoids in an n-dimensional Hamming space whose coefficients take only two different values is investigated as n → ∞. Explicit expressions for the main terms of the asymptotic expansion of ε-entropy of such ellipsoids are obtained under various relations between ε and parameters that define these ellipsoids.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 13, 2004

References

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