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Duals of quasi-3 designs are not necessarily quasi-3

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Abstract

In the early 1980s Dan Hughes wrote two papers on semi-symmetric 3-designs, which are closely related to quasi-3 designs. In 1973 Peter Cameron asked whether the dual design of any quasi-3 design must also be quasi-3. In this article, we answer that question. We give some general constructions of quasi-3 designs which enable us to give the answer. The answer is no.

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Authors and Affiliations

  1. School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland

    Carl Bracken & Gary McGuire

Authors
  1. Carl Bracken
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  2. Gary McGuire
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Corresponding author

Correspondence to Gary McGuire.

Additional information

Dedicated to Dan Hughes on the occasion of his 80th birthday.

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Bracken, C., McGuire, G. Duals of quasi-3 designs are not necessarily quasi-3. Des. Codes Cryptogr. 44, 157–167 (2007). https://doi.org/10.1007/s10623-007-9084-3

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  • DOI: https://doi.org/10.1007/s10623-007-9084-3

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