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The lines of PG(4, 2) are the points on a quintic in PG(9,2)

✍ Scribed by Ron Shaw; Neil A Gordon

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
226 KB
Volume
68
Category
Article
ISSN
0097-3165

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πŸ“œ SIMILAR VOLUMES

On the number of flats spanned by a set
On the number of flats spanned by a set of points in PG(d, q)
✍ Endre Boros; Roy Meshulam πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 116 KB

It is shown that for fixed 1 ~ 0, if X C PG (d, q) contains (1 + ~)q~ points, then the number of r-fiats spanned by X is at least C(r.)q (r+l)ts+l-r), i.e. a positive fraction of the number of r-fiats in PG(s + 1,q).

The automorphism group of a complete (q
The automorphism group of a complete (q βˆ’ 1)-arc in PG(2,q)
✍ A. H. Ali; J. W. P. Hirschfeld; H. Kaneta πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 698 KB

The automorphism group of the set of 12 points associated with an apolar system of conics is determined. A complete (q -&arc for q = 13 can be obtained as a special case. The orbits of its automorphism group are also described. 0 I Y Y ~ John Wile?. & Sons, h e .

On the uniqueness of (q + 1)4-arcs of PG
On the uniqueness of (q + 1)4-arcs of PG(4, q), q = 2h, h β©Ύ 3
✍ L.R.A Casse; D.G Glynn πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 579 KB

Two results are proved: (1) In PG(3, q), q=2 h, h>~3, every q3-arc can be uniquely completed to a (q + 1)3-arc. (2) In PG(4, q), q = 2", h ~> 3, every (q + 1)4-arc is a normal rational curve. ## 1. In~oduction We assume throughout this paper that the base field GF(q) is of order q = 2 h, where h i

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.