An Optimization Problem Related to the Computation of the Epsilon-entropy of an Ellipsoid in a Hamming Space

An Optimization Problem Related to the Computation of the Epsilon-entropy of an Ellipsoid in a... The problem of optimizing (finding the maximin of) the difference between the entropy functions of two n-dimensional vectors under special restrictions on their components is solved. This optimum gives the main term of the asymptotics for the ε-entropy of an ellipsoid in a Hamming space as the dimension of the space grows. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

An Optimization Problem Related to the Computation of the Epsilon-entropy of an Ellipsoid in a Hamming Space

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Publisher
Springer Journals
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:1020054525528
Publisher site
See Article on Publisher Site

Abstract

The problem of optimizing (finding the maximin of) the difference between the entropy functions of two n-dimensional vectors under special restrictions on their components is solved. This optimum gives the main term of the asymptotics for the ε-entropy of an ellipsoid in a Hamming space as the dimension of the space grows.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 13, 2004

References

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