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.
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.
Source: Wikipedia "Maximal arc" · CC BY-SA 4.0
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