Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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PERFECT CODES ON SOME ORDERED SETS

  • Published : 2006.05.01
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Abstract

Using the concept of codes on ordered sets introduced by Brualdi, Graves and Lawrence, we consider perfect codes on the ordinal sum of two ordered sets, the standard ordered sets and the disjoint sum of two chains.

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References

  1. R. A. Brualdi, J. Graves and K. M. Lawrence, Codes with a poset metric, Discrete Math. 147 (1995), no. 1-2, 57-72 https://doi.org/10.1016/0012-365X(94)00226-9
  2. F. J. MacWilliams and N. J. Sloane, The Theory of Error-Correcting Codes I, II, North-Holland, Amsterdam, 1977
  3. V. Pless, Introduction to the Theory of Error-Correcting Codes, Wiley-Interscien- ce Publication, John Wiley & Sons, Inc., New York, 1998