Abstract

In this paper we examine some properties of complete {; k; q};-arcs in projective planes of order q 2 . In particular, we derive a lower bound for k , and we exhibit a family of arcs having low values of k which exist in every such plane having a Baer subplane. In addition we resolve the existence problem for complete {; k; 3 };-arcs in PG (2, 9).

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