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

  • Authors:
  • I. I. Dumer;M. S. Pinsker;V. V. Prelov

  • Affiliations:
  • -;-;-

  • Venue:
  • Problems of Information Transmission
  • Year:
  • 2002

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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.