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Designs having the parameters of projective and affine spaces

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Abstract

Two constructions are described that yield an improved lower bound for the number of 2-designs with the parameters of PG d (n, q), and a lower bound for the number of resolved 2-designs with the parameters of AG d (n, q).

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Authors and Affiliations

  1. Centre for Discrete Mathematics and Computing, University of Queensland, St. Lucia, QLD, 4072, Australia

    D. M. Donovan

  2. Department of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes, MK7 6AA, UK

    M. J. Grannell

Authors
  1. D. M. Donovan
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  2. M. J. Grannell
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Correspondence to M. J. Grannell.

Additional information

Communicated by V. D. Tonchev.

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Donovan, D.M., Grannell, M.J. Designs having the parameters of projective and affine spaces. Des. Codes Cryptogr. 60, 225–240 (2011). https://doi.org/10.1007/s10623-010-9429-1

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  • DOI: https://doi.org/10.1007/s10623-010-9429-1

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