A (k,n)-arc A in a finite projective plane PG(2,q) over Galois field GF(q), q=p⿠for same prime number p and some integer n≥2, is a set of k points, no n+1 of which are collinear. A (k,n)-arc is complete if it is not contained in a(k+1,n)-arc. In this paper, the maximum complete (k,n)-arcs, n=2,3 in PG(2,4) can be constructed from the equation of the conic.
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Publication Date
Sun May 28 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Volume
23
Issue Number
1
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The Maximum Complete (k,n)-Arcs in the Projective Plane PG(2,4) By Geometric Method
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