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13.
On planar arcs of size (q+3) ∕ 2
Günay, Gülizar ; Lavrauw, Michel
The subject of this paper is the study of small complete arcs in PG(2,q), for odd, with at least (q+1)/2 points on a conic. We give a short comprehensive proof of the completeness problem left open ...by Segre in his seminal work. This gives an alternative to Pellegrino's long proof which was obtained in a series of papers in the 1980s. As a corollary of our analysis, we obtain a counterexample to a misconception in the literature.
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