Automorphisms of Constant Weight Codes and of DivisibleDesigns

  • Authors:
  • Ralph-Hardo Schulz;Antonino Giorgio Spera

  • Affiliations:
  • Mathematisches Institut, Freie Universität Berlin, Arnimallee 3, D–14195 Berlin (Germany);Dipartimento di Matematica ed applicazioni, Universitá di Palermo, Via Archirafi 34, I–90123 Palermo (Italy)

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2000

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Abstract

Weshow that the automorphism group of a divisible design \cDis isomorphic to a subgroup H of index 1or 2 in the automorphism group \Aut \cC(\cD)of the associated constant weight code. Only in very specialcases H is not the full automorphism group.