𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Conic blocking sets in Desarguesian projective planes

✍ Scribed by Leanne D. Holder


Publisher
Springer
Year
2004
Tongue
English
Weight
130 KB
Volume
80
Category
Article
ISSN
0047-2468

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Blocking Sets in Desarguesian Affine and
✍ TamΓ‘s SzΕ‘nyi πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 237 KB

In this paper we show that blocking sets of cardinality less than 3(q Ο© 1)/2 (q Ο­ p n ) in Desarguesian projective planes intersect every line in 1 modulo p points. It is also shown that the cardinality of a blocking set must lie in a few relatively short intervals. This is similar to previous resul

RΓ©dei Blocking Sets in Finite Desarguesi
✍ B.F. Sherman πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 272 KB

The characterisation by Blokhuis, Ball, Brouwer, Storme, and SzΓΆnyi of certain kinds of blocking sets of RΓ©dei type is extended to specify the type of polynomial which defines the blocking set. A graphic characterisation called the profile of the set is also given, and the correspondence between the

Dual blocking sets in projective and aff
✍ Peter J. Cameron; Francesco Mazzocca; Roy Meshulam πŸ“‚ Article πŸ“… 1988 πŸ› Springer 🌐 English βš– 191 KB

A dual blocking set is a set of points which meets every blocking set but contains no line. We establish a lower bound for the cardinality of such a set, and characterize sets meeting the bound, in projective and affine planes. A blocking set for a family ~-of sets is a set which meets every member

On Nuclei and Blocking Sets in Desargues
✍ Simeon Ball πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 89 KB

A generalisation is given to recent results concerning the possible number of nuclei to a set of points in PG(n, q). As an application of this we obtain new lower bounds on the size of a t-fold blocking set of AG(n, q) in the case (t, q)>1.