We show that small blocking sets in PG(n, q) with respect to hyperplanes intersect every hyperplane in 1 modulo p points, where q= p h . The result is then extended to blocking sets with respect to k-dimensional subspaces and, at least when p>2, to intersections with arbitrary subspaces not just hyp
On Small Blocking Sets
β Scribed by Pompeo Polito; Olga Polverino
- Publisher
- Springer-Verlag
- Year
- 1998
- Tongue
- English
- Weight
- 138 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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.
## 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