Complete arcs arising from a generalization of the Hermitian curve (extended abstract)

نویسندگان

  • H. Borges
  • B. Motta
  • F. Torres
چکیده

We investigate complete arcs of degree greater than two, in projective planes over finite fields, arising from the set of rational points of a generalization of the Hermitian curve. The degree of the arcs is closely related to the number of rational points of a class of Artin–Schreier curves which is calculated by using exponential sums via Coulter’s approach. We also single out some examples of maximal curves.

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عنوان ژورنال:
  • Electronic Notes in Discrete Mathematics

دوره 40  شماره 

صفحات  -

تاریخ انتشار 2013