## Abstract The size of large minimal blocking sets is bounded by the BruenβThas upper bound. The bound is sharp when __q__ is a square. Here the bound is improved if __q__ is a nonβsquare. On the other hand, we present some constructions of reasonably large minimal blocking sets in planes of nonβp
Small Minimal Blocking Sets inPG(2, q3)
β Scribed by O Polverino; L Storme
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 109 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
β¦ Synopsis
on small minimal blocking sets in P G(2, p 3 ), p prime, p β₯ 7, to small minimal blocking sets in P G(2, q 3 ), q = p h , p prime, p β₯ 7, with exponent e β₯ h. We characterize these blocking sets completely as being blocking sets of RΓ©dei-type.
π SIMILAR VOLUMES
We obtain lower bounds for the size of a double blocking set in the Desarguesian projective plane PG(2, q). These bounds are best possible for q Ο½ 11 and in the case q is a square. With the same technique we also exclude certain values for the size of an ordinary minimal blocking set.
## Abstract We characterize the smallest minimal blocking sets of Q(6,__q__), __q__ even and __q__ β₯ 32. We obtain this result using projection arguments which translate the problem into problems concerning blocking sets of Q(4,__q__). Then using results on the size of the smallest minimal blocking
## 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__β=β8, then the maximal possible size is 23. Since 8 is not a square, it was conjectured that a minimal blocking 23βset does not exist in PG(2,8). We show that this