The spectrum of minimal blocking sets
β Scribed by Stefano Innamorati; Antonio Maturo
- Book ID
- 108316364
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 87 KB
- Volume
- 208-209
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
## 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
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.