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
On blocking sets in affine planes
β Scribed by Luigia Berardi; Franco Eugeni
- Book ID
- 112499128
- Publisher
- Springer
- Year
- 1984
- Tongue
- English
- Weight
- 596 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0047-2468
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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
## Abstract Let __S__ be a blocking set in an inversive plane of order __q__. It was shown by Bruen and Rothschild 1 that |__S__|ββ₯β2__q__ for __q__ββ₯β9. We prove that if __q__ is sufficiently large, __C__ is a fixed natural number and |__S__β=β2__q__β+β__C__, then roughly 2/3 of the circles of the