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On sizes of complete caps in projective spaces PG(n,q) and arcs in planes PG(2,q)

✍ Scribed by Alexander A. Davydov; Giorgio Faina; Stefano Marcugini; Fernanda Pambianco

Publisher: Springer
Year: 2009
Tongue: English
Weight: 521 KB
Volume: 94
Category: Article
ISSN: 0047-2468
DOI: 10.1007/s00022-009-0009-3

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📜 SIMILAR VOLUMES

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## Abstract Some new families of small complete caps in __PG__(__N, q__), __q__ even, are described. By using inductive arguments, the problem of the construction of small complete caps in projective spaces of arbitrary dimensions is reduced to the same problem in the plane. The caps constructed in

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The automorphism group of the set of 12 points associated with an apolar system of conics is determined. A complete (q -&arc for q = 13 can be obtained as a special case. The orbits of its automorphism group are also described. 0 I Y Y ~ John Wile?. & Sons, h e .