On the completeness of certain plane arcs (Q1103188)

A k-arc in PG(2,q) is a subset K of PG(2,q) for which no three of its points are collinear. An arc is called complete if it is not a proper subset of another arc. The author proves that for q odd \(q\geq 175\), given \(t\in {\mathbb{Z}}\), \(| t| <\sqrt{q}\), \((t,q)=1\), there exists a complete k-arc with \((q+1)/2-t\) elements.