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Spreads and group divisible designs

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Abstract

By removing the components of at-spread\(S\) of a finite projective spacePG(d, q) from each hyperplane ofPG(d, q), the blocks of a regular group divisible design\(\mathcal{G}(S)\) are obtained We characterize geometrict-spreads as thoset-spreads\(S\) which are such that the dual of\(\mathcal{G}(S)\) is also a group divisible design.

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Authors and Affiliations

  1. Department of Pure Mathematics, The University of Adelaide, GPO Box 498, 5001, Adelaide, SA, Australia

    Christine M. O'Keefe

  2. Centre for Combinatorics, Department of Mathematics, The University of Queensland, 4072, St. Lucia, Qld, Australia

    Alan Rahilly

Authors
  1. Christine M. O'Keefe
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  2. Alan Rahilly
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Communicated by D. Jungnickel

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O'Keefe, C.M., Rahilly, A. Spreads and group divisible designs. Des Codes Crypt 3, 229–235 (1993). https://doi.org/10.1007/BF01388484

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  • DOI: https://doi.org/10.1007/BF01388484

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