𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the number of flats spanned by a set of points in PG(d, q)

✍ Scribed by Endre Boros; Roy Meshulam

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
116 KB
Volume
150
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis

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).

πŸ“œ SIMILAR VOLUMES

On the Number of Directions Determined b
On the Number of Directions Determined by a Set of Points in an Affine Galois Plane
✍ TamΓ‘s SzΕ‘nyi πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 265 KB

In this paper the number of directions determined by a set of q&n points of AG(2, q) is studied. To such a set we associate a curve of degree n and show that its linear components correspond to points that can be added to the set without changing the set of determined directions. The existence of li

A three-class association scheme on the
A three-class association scheme on the flags of a finite projective plane and a (PBIB) design defined by the incidence of the flags and the Baer subplanes in PG(2, q2)
✍ I.M. Chakravarti πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 262 KB

First we define relations between the u = (s\* + s + 1) (s + 1) flags (point-line incident pairs) of a finite projective plane of order s. Two flags a E (p, 1) and b = (p', l'), where p and p' are two points and 1 and 1' are two lines of the projective plane, are defined to