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On Intersection Sets in Desarguesian Affine Spaces

✍ Scribed by Simeon Ball


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
87 KB
Volume
21
Category
Article
ISSN
0195-6698

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✦ Synopsis


Lower bounds on the size of t-fold blocking sets with respect to hyperplanes or t-intersection sets in AG(n, q) are obtained, some of which are sharp.


πŸ“œ SIMILAR VOLUMES


On Nuclei and Blocking Sets in Desargues
✍ Simeon Ball πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 89 KB

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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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

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✍ Aart Blokhuis; Michel Lavrauw πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 93 KB

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Intersection sets and blocking sets play an important role in contemporary finite geometry. There are cryptographic applications depending on their construction and combinatorial properties. This paper contributes to this topic by answering the question: how many circles of an inversive plane will b

Best Approximation on Convex Sets in Met
✍ G. C. Ahuja; T. D. Narang; Swaran Trehan πŸ“‚ Article πŸ“… 1977 πŸ› John Wiley and Sons 🌐 English βš– 256 KB

## Abstract In this paper the concepts of strictly convex and uniformly convex normed linear spaces are extended to metric linear spaces. A relationship between strict convexity and uniform convexity is established. Some existence and uniqueness theorems on best approximation in metric linear space