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Cyclic caps in PG(3,q)

✍ Scribed by L. Storme; H. van Maldeghem


Publisher
Springer
Year
1995
Tongue
English
Weight
712 KB
Volume
56
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES


Caps in PG(n, q),qeven,nβ©Ύ3
✍ L. Storme; T. SzΓΆnyi πŸ“‚ Article πŸ“… 1993 πŸ› Springer 🌐 English βš– 235 KB
Small complete caps in PG(r,q), r β©Ύ 3
✍ Giorgio Faina; Fernanda Pambianco πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 278 KB

A very difficult problem for complete caps in PG(r,q) is to determine their minimum size. The results on this topic are still scarce and in this paper we survey the best results now known. Furthermore, we construct new interesting sporadic examples of complete caps in PG(3, q) and in PG(4, q) such t

Small complete caps in PG(N, q), q even
✍ Massimo Giulietti πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 191 KB

## Abstract A new family of small complete caps in __PG__(__N__,__q__), __q__ even, is constructed. Apart from small values of either __N__ or __q__, it provides an improvement on the currently known upper bounds on the size of the smallest complete cap in __PG__(__N__,__q__): for __N__ even, the l

Complete caps in projective spaces PG (n
✍ Alexander A. Davydov; Stefano Marcugini; Fernanda Pambianco πŸ“‚ Article πŸ“… 2004 πŸ› Springer 🌐 English βš– 96 KB
New inductive constructions of complete
✍ Alexander A. Davydov; Massimo Giulietti; Stefano Marcugini; Fernanda Pambianco πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 233 KB

## 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