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A000509 Size of second largest n-arc in PG(2,q), where q runs through the primes and prime powers >= 7. +0
2
6, 6, 8, 10, 12, 13, 14, 14, 17, 21, 22, 24 (list; graph; listen)
OFFSET

1,1

REFERENCES

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.

EXAMPLE

m'(31)=22 because there are no complete n-arcs in PG(2,31) for 23<=n<=31

CROSSREFS

Cf. A000510.

Cf. A000961.

Sequence in context: A021861 A088684 A088683 this_sequence A083507 A019851 A021603

Adjacent sequences: A000506 A000507 A000508 this_sequence A000510 A000511 A000512

KEYWORD

nonn,hard,nice

AUTHOR

J. W. P. Hirschfeld [ jwph(AT)sussex.ac.uk ]

EXTENSIONS

Definition clarified by G. Keri (keri(AT)sztaki.hu), Jan 03 2008

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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