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On complete arcs arising from plane curves

M. Giulietti·F. Pambianco·F. Torres·E. Ughi
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Abstract

We show that the set of F_q-rational points of either certain Fermat curves or certain F_q-Frobenius non-classical plane curves is a complete (k,d)-arc in P^2(F_q), where k and d are respectively the number of F_q-rational points and the degree of the underlying curve.

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M. Giulietti, F. Pambianco, F. Torres, E. Ughi. 2000-03-28. On complete arcs arising from plane curves. https://arxiv.org/abs/math/0003180

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