On greedy algorithms in coding theory

  • Authors:
  • G. D. Cohen;S. Litsyn;C. Zemor

  • Affiliations:
  • ENST, Paris;-;-

  • Venue:
  • IEEE Transactions on Information Theory - Part 1
  • Year:
  • 2006

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Abstract

We study a wide class of problems in coding theory for which we consider two different formulations: in terms of incidence matrices and in terms of hypergraphs. These problems are dealt with using a greedy algorithm due to Stein (1974) and Lovasz (1975). Some examples, including constructing covering codes, codes for conflict resolution, separating systems, source encoding with distortion, etc., are given a unified treatment. Under certain conditions derandomization can be performed, leading to an essential reduction in the complexity of the constructions