Designs in a coset geometry: Delsarte theory revisited

  • Authors:

  • Tatsuro Ito

  • Affiliations:

  • Faculty of Science, Department of Computational Science, Kanazawa University Kakuma-machi, Kanazawa 920-1192, Japan

  • Venue:
  • European Journal of Combinatorics - Special issue on algebraic combinatorics: in memory of J.J. Seidel
  • Year:
  • 2004

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Abstract

We revisit the Delsarte theory, shifting the framework from association schemes to coset geometries. When a group acts transitively on the underlying sets, this attempt broadens the category of designs and makes all the clearer the relation between combinatorial and algebraic structures of designs. As an application, t-transitive sets are constructed from the classical t-designs.