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A365198
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Smallest k such that there exists a complete k-arc on the projective plane over GF(q), where q = A246655(n) is the n-th prime power > 1.
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0
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4, 4, 6, 6, 6, 6, 6, 7, 8, 9, 10, 10, 10, 12, 12, 13, 14, 14
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OFFSET
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1,1
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COMMENTS
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A k-arc is a set of k points in PG(2,q) (the projective plane over GF(q)) such that no three are collinear. A complete k-arc is a k-arc which is not contained in any (k+1)-arc.
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REFERENCES
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J. W. P. Hirschfeld, Projective geometries over finite fields, Second edition, Oxford Math. Monogr., The Clarendon Press, Oxford University Press, New York, 1998.
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LINKS
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FORMULA
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a(n) > sqrt(2*A246655(n)) + 1 [Segre].
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CROSSREFS
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KEYWORD
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nonn,hard,more
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AUTHOR
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STATUS
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approved
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