Small complete arcs in andré planes of square order
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AbstractA complete arc in a projective plane of orderq has at least
$$\sqrt {2q} $$
points. We show the existence of completek-arcs having
$$k< C\sqrt q \log ^2 q$$
points in certain André planes of square order. Moreover our construction shows that for all
$$x,q > x > \sqrt q \log q$$
there are completek-arcs withx < k < Cxlogq, for some absolute constantC.