What is maximal arc?

Maximal Arc

A Maximal arc in a finite projective plane is a largest possible (k,d)-arc in that projective plane. If the finite projective plane has order q (there are q+1 points on any line), then for a maximal arc, k, the number of points of the arc, is the maximum possible (= qd + d - q) with the property that no d+1 points of the arc lie on the same line.

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Some articles on maximal arc:

Maximal Arc - Partial Geometries
... partial geometries, derived from maximal arcs Let K be a maximal arc with degree d ... Consider the space and let K a maximal arc of degree in a two-dimensional subspace ...

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