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On the size of a blocking set inPG(2,p)

✍ Scribed by Aart Blokhuis

Publisher
Springer-Verlag
Year
1994
Tongue
English
Weight
182 KB
Volume
14
Category
Article
ISSN
0209-9683

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πŸ“œ SIMILAR VOLUMES

On the Size of a Double Blocking Set inP
On the Size of a Double Blocking Set inPG(2,q)
✍ Simeon Ball; Aart Blokhuis πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 212 KB

We obtain lower bounds for the size of a double blocking set in the Desarguesian projective plane PG(2, q). These bounds are best possible for q Ο½ 11 and in the case q is a square. With the same technique we also exclude certain values for the size of an ordinary minimal blocking set.

On the Size of the Smallest Non-Classica
On the Size of the Smallest Non-Classical Blocking Set of RΓ©dei Type in PG(2, p)
✍ AndrΓ‘s GΓ‘cs πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 137 KB

We prove that the number of directions determined by a set of p points in AG(2, p), p prime, cannot be between ( p+3)Γ‚2 and ( p&1)Γ‚2+ 1 3 -p. This is equivalent to saying that besides the projective triangle, every blocking set of Re dei type in PG(2, p) has size at least 3( p&1)Γ‚2+ 1 3 -p.