On complete arcs arising from plane curves

Mathematics – Algebraic Geometry

Scientific paper

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8 pages, LaTex2e

Scientific paper

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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