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On (q + t, t)-Arcs of Type (0, 2, t)

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Abstract

In this paper we construct an infinite series of (q + t, t)-arcs of type (0, 2, t). We show that this construction includes the Korchmáros-Mazzocca arcs, and we gain new infinite series of examples, too.

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References

  1. R. H. Bruck and R. C. Bose, The construction of translation planes from projective spaces, J. Algebra, Vol. 1 (1964) pp. 85–102.

    Google Scholar 

  2. J.W. P. Hirschfeld, Projective Geometries over Finite Fields, Clarendon Press, Oxford (1979) 2nd ed., 1998.

    Google Scholar 

  3. G. Korchmáros and F. Mazzocca, On (q + t)-arcs of type (0, 2, t) in a desarguesian plane of order q. Math. Proc. Camb. Phil. Soc., Vol. 108 (1990) pp. 445–459.

    Google Scholar 

  4. O. Polverino, T. Szőnyi and Zs. Weiner, Blocking sets in Galois planes of square order, Acta Sci. Math. (Szeged), Vol. 65 (1999) pp. 773–784.

    Google Scholar 

  5. P. Sziklai and T. Szőnyi, Blocking sets and algebraic curves, Rend. Circ. Mat. Palermo, Vol. 51 (1998) pp. 71–86.

    Google Scholar 

  6. T. Szőnyi, Blocking sets in Deasarguian affine and projective planes, Finite Fields and Appl., Vol. 3 (1997) pp. 187–202.

    Google Scholar 

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Gács, A., Weiner, Z. On (q + t, t)-Arcs of Type (0, 2, t). Designs, Codes and Cryptography 29, 131–139 (2003). https://doi.org/10.1023/A:1024152424893

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  • DOI: https://doi.org/10.1023/A:1024152424893

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