On complete arcs arising from plane curves

2000/03/28 by M. Giulietti, F. Pambianco, F. Torres +1
Mathematics · #math.AG #msc:05B #msc:14H

paper · pdf

published as Des. Codes Cryptogr. 25(3) (2002), 237--246 · 8 pages, LaTex2e

arxiv created 2000/03/28 · arxiv updated 2009/11/30

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 P²(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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• On complete m-arcs