k-arcs in A Projective Space
In the finite projective space PG(n, q) with n ≥ 3, a set A of k ≥ n + 1 points such that no n + 1 points lie in a common hyperplane is called a (spacial) k-arc. This definition generalizes the definition of a k-arc in a plane (where n = 2).
Read more about this topic: Arc (projective Geometry)
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