The edge-diametric theorem in Hamming spaces

  • Authors:
  • Christian Bey

  • Affiliations:
  • Otto-von-Guericke-Universität Magdeburg, Institut für Algebra und Geometrie, Postfach 4120, 39016 Magdeburg, Germany

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2008

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Abstract

The maximum number of edges spanned by a subset of given diameter in a Hamming space with alphabet size at least three is determined. The binary case was solved earlier by Ahlswede and Khachatrian [A diametric theorem for edges, J. Combin. Theory Ser. A 92(1) (2000) 1-16].