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Covering Radius 1985–1994

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

 We survey important developments in the theory of covering radius during the period 1985–1994. We present lower bounds, constructions and upper bounds, the linear and nonlinear cases, density and asymptotic results, normality, specific classes of codes, covering radius and dual distance, tables, and open problems.

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Authors and Affiliations

  1. Ecole Nationale Supérieure des Télécommunications, 46 rue Barrault, F-75634 Paris cédex 13, France (e-mail: cohen@inf.enst.fr), , , , , , FR

    G. D. Cohen

  2. Department of Electrical Engineering-Systems, Tel-Aviv University, Ramat-Aviv, 69978, Israel (e-mail: litsyn@eng.tau.ac.il), , , , , , IL

    S. N. Litsyn

  3. Centre National de la Recherche Scientifique, Ecole Nationale Supérieure des Télécommunications, 46 rue Barrault, F-75634 Paris cédex 13, France (e-mail: lobstein@inf.enst.fr), , , , , , FR

    A. C. Lobstein

  4. School of Computer and Information Science, 2-120 Center for Science and Technology, Syracuse, NY 13244-4100, USA (e-mail: hmattson@syr.edu), , , , , , US

    H. F. Mattson Jr.

Authors
  1. G. D. Cohen
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  2. S. N. Litsyn
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  3. A. C. Lobstein
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  4. H. F. Mattson Jr.
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Additional information

Received October 28, 1994; revised version May 28, 1996

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Cohen, G., Litsyn, S., Lobstein, A. et al. Covering Radius 1985–1994. AAECC 8, 173–239 (1997). https://doi.org/10.1007/s002000050061

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  • DOI: https://doi.org/10.1007/s002000050061

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