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Multiple blocking sets and multisets in Desarguesian planes

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Abstract

In AG(2, q 2), the minimum size of a minimal (q − 1)-fold blocking set is known to be q 3 − 1. Here, we construct minimal (q − 1)-fold blocking sets of size q 3 in AG(2, q 2). As a byproduct, we also obtain new two-character multisets in PG(2, q 2). The essential idea in this paper is to investigate q 3-sets satisfying the opposite of Ebert’s discriminant condition.

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Authors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Bari, Via Orabona 4, 70125, Bari, Italy

    Angela Aguglia

  2. Dipartimento di Matematica, Università della Basilicata, Contrada Macchia Romana, 85100, Potenza, Italy

    Gábor Korchmáros

Authors
  1. Angela Aguglia
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  2. Gábor Korchmáros
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Corresponding author

Correspondence to Angela Aguglia.

Additional information

Communicated by L. Storme.

Dedicated to the memory of András Gács (1969–2009).

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Aguglia, A., Korchmáros, G. Multiple blocking sets and multisets in Desarguesian planes. Des. Codes Cryptogr. 56, 177–181 (2010). https://doi.org/10.1007/s10623-010-9397-5

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  • DOI: https://doi.org/10.1007/s10623-010-9397-5

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