Maximal arcs in Desarguesian planes of odd order do not exist

Abstract

Forq an odd prime power, and 1<n<q, the Desarguesian planePG(2,q) does not contain an(nq−q+n,n)-arc.

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Supported by Italian M.U.R.S.T. (Research Group onStrutture geometriche, combinatoria, loro applicazioni) and G.N.S.A.G.A. of C.N.R.

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Ball, S., Blokhuis, A. & Mazzocca, F. Maximal arcs in Desarguesian planes of odd order do not exist. Combinatorica 17, 31–41 (1997). https://doi.org/10.1007/BF01196129

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Mathematics Subject Classification (1991)

  • 51 E 21
  • 51 A 30
  • 05 D 05
  • 05 B 25