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On the minimum number of points covered by a set of lines in\(PG(2, q)\)

✍ Scribed by Cheon, Eun Ju; Kim, Seon Jeong

Book ID
120964152
Publisher
Springer
Year
2013
Tongue
English
Weight
271 KB
Volume
74
Category
Article
ISSN
0925-1022

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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).

Blocking sets of nonsecant lines to a co
Blocking sets of nonsecant lines to a conic in PG(2,q), q odd
✍ Angela Aguglia; GΓ‘bor KorchmΓ‘ros πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 115 KB πŸ‘ 1 views

## 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

On a set of lines of PG(3,q) correspondi
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The problem is considered of constructing a maximal set of lines, with no three in a pencil, in the finite projective geometry PG(3, q) of three dimensions over GF(q). (A pencil is the set of q + 1 lines in a plane and passing through a point.) It is found that an orbit of lines of a Singer cycle of