Complete arcs on the parabolic quadric Q(4, q)

نویسندگان

  • Jan De Beule
  • András Gács
چکیده

Using the representation T2(O) of Q(4, q) and algebraic methods, we prove that complete (q2 − 1)-arcs of Q(4, q) do not exist when q = ph, p odd prime and h > 1. As a by-product we prove an embeddability theorem for the direction problem in AG(3, q). © 2007 Elsevier Inc. All rights reserved.

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عنوان ژورنال:
  • Finite Fields and Their Applications

دوره 14  شماره 

صفحات  -

تاریخ انتشار 2008