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Intersection-sets in PG(n,2)

โœ Scribed by Aiden Bruen; Lucien Haddad; David Wehlau


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
450 KB
Volume
62
Category
Article
ISSN
0378-3758

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๐Ÿ“œ SIMILAR VOLUMES


Icosahedral Sets in PG(5, 2)
โœ Ron Shaw ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 487 KB

Starting out from the 15 pairs of opposite edges and the 20 faces of a coloured icosahedron , a simple new construction is given of a 'double-five' of planes in PG (5 , 2) . This last is a recently discovered configuration consisting of a set of (15 ฯฉ 20 ฯญ )35 points in PG (5 , 2) which admits five

Largest minimal blocking sets in PG(2,8)
โœ J. Barรกt; S. Innamorati ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 120 KB ๐Ÿ‘ 1 views

## Abstract Bruen and Thas proved that the size of a large minimal blocking set is bounded by $q \cdot {\sqrt{q}} + 1$. Hence, if __q__โ€‰=โ€‰8, then the maximal possible size is 23. Since 8 is not a square, it was conjectured that a minimal blocking 23โ€set does not exist in PG(2,8). We show that this

On large minimal blocking sets in PG(2,q
โœ Tamรกs Szล‘nyi; Antonello Cossidente; Andrรกs Gรกcs; Csaba Mengyรกn; Alessandro Sicil ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 172 KB ๐Ÿ‘ 1 views

## Abstract The size of large minimal blocking sets is bounded by the Bruenโ€“Thas upper bound. The bound is sharp when __q__ is a square. Here the bound is improved if __q__ is a nonโ€square. On the other hand, we present some constructions of reasonably large minimal blocking sets in planes of nonโ€p

Linear (q+1)-fold Blocking Sets in PG(2,
โœ Simeon Ball; Aart Blokhuis; Michel Lavrauw ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 109 KB
Tangency sets in PG(3, q)
โœ K. Metsch; L. Storme ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 165 KB

## Abstract A tangency set of PG __(d,q)__ is a set __Q__ of points with the property that every point __P__ of __Q__ lies on a hyperplane that meets __Q__ only in __P__. It is known that a tangency set of PG __(3,q)__ has at most $q^2+1$ points with equality only if it is an ovoid. We show that a