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On nuclei and affine blocking sets

✍ Scribed by Aart Blokhuis

Book ID
107885211
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
99 KB
Volume
67
Category
Article
ISSN
0097-3165

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πŸ“œ SIMILAR VOLUMES

On blocking sets in affine planes
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A generalisation is given to recent results concerning the possible number of nuclei to a set of points in PG(n, q). As an application of this we obtain new lower bounds on the size of a t-fold blocking set of AG(n, q) in the case (t, q)>1.

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A dual blocking set is a set of points which meets every blocking set but contains no line. We establish a lower bound for the cardinality of such a set, and characterize sets meeting the bound, in projective and affine planes. A blocking set for a family ~-of sets is a set which meets every member

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✍ TamΓ‘s SzΕ‘nyi πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 237 KB

In this paper we show that blocking sets of cardinality less than 3(q Ο© 1)/2 (q Ο­ p n ) in Desarguesian projective planes intersect every line in 1 modulo p points. It is also shown that the cardinality of a blocking set must lie in a few relatively short intervals. This is similar to previous resul