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Search: id:A000509
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| A000509 |
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Size of second largest n-arc in PG(2,q), where q runs through the primes and prime powers >= 7. |
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+0
2
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| 6, 6, 8, 10, 12, 13, 14, 14, 17, 21, 22, 24
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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J. W. P. Hirschfeld, Complete arcs, Discr. Math., 174 (1997), 177-184.
J. W. P. Hirschfeld and L. Storme, The packing problem in statistics, coding theory and finite projective spaces, J. Statist. Plann. Inference 72 (1998), no. 1-2, 355-380.
G. Keri, Types of superregular matrices and the number of n-arcs and complete n-arcs in PG(r,q), Journal of Combinatorial Designs, Vol. 14 (2006), pp. 363-390.
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EXAMPLE
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m'(31)=22 because there are no complete n-arcs in PG(2,31) for 23<=n<=31
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CROSSREFS
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Cf. A000510.
Cf. A000961.
Sequence in context: A021861 A088684 A088683 this_sequence A141218 A160257 A083507
Adjacent sequences: A000506 A000507 A000508 this_sequence A000510 A000511 A000512
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KEYWORD
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nonn,hard,nice
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AUTHOR
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J. W. P. Hirschfeld [ jwph(AT)sussex.ac.uk ]
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EXTENSIONS
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Definition clarified by G. Keri (keri(AT)sztaki.hu), Jan 03 2008
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