Maximal Arcs in Desarguesian Planes of Odd Order do not Exist

@article{Ball1997MaximalAI,
  title={Maximal Arcs in Desarguesian Planes of Odd Order do not Exist},
  author={Simeon Ball and Aart Blokhuis and Francesco Mazzocca},
  journal={Combinatorica},
  year={1997},
  volume={17},
  pages={31-41}
}
For q an odd prime power, and 1 < n < q, the Desarguesian plane PG(2, q) does not contain a (nq − q + n, n)-arc. 

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