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Arcs in PG(n, q), MDS-codes and three fundamental problems of B. Segre — Some extensions

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Abstract

To each arc of PG(n, q) an algebraic hypersurface is associated. Using this tool new results on complete arcs are obtained. Since arcs and linear MDS-codes are equivalent objects, these results can be translated in terms of codes.

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References

  1. Bruen, A. A., Thas, J. A., and Blokhuis, A., ‘On M.D.S. codes, arcs in PG(n, q) with q even, and a solution of three fundamental problems of B. Segre’, Invent. Math. 92 (1988), 441–459.

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Authors and Affiliations

  1. Department of Mathematics and Computing Science, Eindhoven University of Technology, P.O. Box 513, 5600, Eindhoven, MB, The Netherlands

    A. Blokhuis

  2. Department of Mathematics, University of Western Ontario, London, Ontario, Canada

    A. A. Bruen

  3. Seminar of Geometry and Combinatorics, State University of Ghent, Krijgslaan 281, B-9000, Ghent, Belgium

    J. A. Thas

Authors
  1. A. Blokhuis
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  2. A. A. Bruen
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  3. J. A. Thas
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Dedicated to Professor J. Tits for his sixtieth birthday

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Blokhuis, A., Bruen, A.A. & Thas, J.A. Arcs in PG(n, q), MDS-codes and three fundamental problems of B. Segre — Some extensions. Geom Dedicata 35, 1–11 (1990). https://doi.org/10.1007/BF00147336

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  • DOI: https://doi.org/10.1007/BF00147336

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