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On complete arcs arising from plane curves

M. Giulietti, F. Pambianco, F. Torres, E. Ughi

math.AGarXiv:math/0003180

Abstract

We show that the set of Fq-rational points of either certain Fermat curves or certain Fq-Frobenius non-classical plane curves is a complete (k,d)-arc in P2(Fq), where k and d are respectively the number of Fq-rational points and the degree of the underlying curve.

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