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Three families of multiple blocking sets in Desarguesian projective planes of even order

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Abstract

We present three families of multiple blocking sets in Desarguesian projective planes of even characteristic. The first and the third construction apply to any translation hyperoval. The second construction applies to arbitrary hyperovals.

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References

  1. Ball S.: Multiple blocking sets and arcs in finite planes. J. Lond. Math. Soc. 54(3), 581–593 (1996)

    Article  MATH  Google Scholar 

  2. Blokhuis A.: On multiple nuclei and a conjecture of Lunelli and Sce. Bull. Belg. Math. Soc. Simon Stevin, 1(3):349–353 (1994) A tribute to J. A. Thas (Gent 1994).

    Google Scholar 

  3. Hirschfeld J.W.P.: Projective Geometries Over Finite Fields. Oxford Mathematical Monographs. second edition. The Clarendon Press Oxford University Press, New York (1998)

    Google Scholar 

  4. Law M., Penttila T.: Flocks, ovals and generalized quadrangles (Four lectures in Napoli, June 2000).

  5. Segre B.: Sui k-archi nei piani finiti di caratteristica due. Rev. Math. Pures Appl. 2, 289–300 (1957)

    MathSciNet  Google Scholar 

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Correspondence to Anton Betten.

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This is one of several papers published in Designs, Codes and Cryptography comprising the “Special Issue on Finite Geometries”.

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Betten, A., Cheon, E.J., Kim, S.J. et al. Three families of multiple blocking sets in Desarguesian projective planes of even order. Des. Codes Cryptogr. 68, 49–59 (2013). https://doi.org/10.1007/s10623-012-9634-1

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  • DOI: https://doi.org/10.1007/s10623-012-9634-1

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