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 Ο© 20 Ο )35 points in PG (5 , 2) which admits five
A 35-set of type (2, 5) in PG(2, 9)
β Scribed by Marialuisa J de Resmini
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 142 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
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)Γ2 and ( p&1)Γ2+ 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)Γ2+ 1 3 -p.
## Abstract In a previous paper 1, all point sets of minimum size in __PG__(2,__q__), blocking all external lines to a given irreducible conic ${\cal C}$, have been determined for every odd __q__. Here we obtain a similar classification for those point sets of minimum size, which meet every externa