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On the spectrum of minimal blocking sets in PG$(2,q)$

✍ Scribed by Tamás Szőnyi,András Gács,Zsuzsa Weiner

Book ID
113014301
Publisher
Springer
Year
2003
Tongue
English
Weight
222 KB
Volume
76
Category
Article
ISSN
0047-2468

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## Abstract The size of large minimal blocking sets is bounded by the Bruen–Thas upper bound. The bound is sharp when __q__ is a square. Here the bound is improved if __q__ is a non‐square. On the other hand, we present some constructions of reasonably large minimal blocking sets in planes of non‐p

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## Abstract Bruen and Thas proved that the size of a large minimal blocking set is bounded by $q \cdot {\sqrt{q}} + 1$. Hence, if __q__ = 8, then the maximal possible size is 23. Since 8 is not a square, it was conjectured that a minimal blocking 23‐set does not exist in PG(2,8). We show that this