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Hemisystems of small flock generalized quadrangles

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Abstract

In this paper, we describe a complete computer classification of the hemisystems in the two known flock generalized quadrangles of order (52, 5) and give numerous further examples of hemisystems in all the known flock generalized quadrangles of order (s 2, s) for s ≤ 11. By analysing the computational data, we identify two possible new infinite families of hemisystems in the classical generalized quadrangle H(3, s 2).

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Authors and Affiliations

  1. The Centre for the Mathematics of Symmetry and Computation, School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA, 6009, Australia

    John Bamberg, Michael Giudici & Gordon F. Royle

Authors
  1. John Bamberg
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  2. Michael Giudici
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  3. Gordon F. Royle
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Correspondence to John Bamberg.

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Communicated by J. D. Key.

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Bamberg, J., Giudici, M. & Royle, G.F. Hemisystems of small flock generalized quadrangles. Des. Codes Cryptogr. 67, 137–157 (2013). https://doi.org/10.1007/s10623-011-9591-0

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  • DOI: https://doi.org/10.1007/s10623-011-9591-0

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