Improved Upper Bounds on the Reliability Function of the Gaussian Channel

Authors:
Y. Ben-Haim;S. Litsyn
Affiliations:
Tel Aviv Univ., Tel Aviv;-
Venue:
IEEE Transactions on Information Theory
Year:
2008

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Abstract

A new lower bound on the distance distribution of spherical codes is derived. This yields two new upper bounds on the reliability function of the Gaussian channel. These bounds outperform previously known bounds, and imply a new range of rates for which the exact value of the reliability function is known.