On the information function of an error-correcting code

  • Authors:
  • T. Helleseth;T. Klove;V. I. Levenshtein

  • Affiliations:
  • Dept. of Inf., Bergen Univ.;-;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

The information function eh of a code is the average amount of information contained in h positions of the codewords. Upper and lower bounds on the information function of binary linear codes are given. The average value and variance of the information function over all [n, k] codes are determined,