Small point sets of PG(n, q
3) intersecting each k-subspace in 1 mod q points |
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Authors: | Nóra V Harrach Klaus Metsch |
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Institution: | 1. Department of Computer Science, E?tv?s Loránd University, Pázmány Pétersétány 1/C, Budapest, 1117, Hungary 2. Justus-Liebig-Universit?t Gie?en, Gie?en, Germany
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Abstract: | The main result of this paper is that point sets of PG(n, q 3), q = p h , p ≥ 7 prime, of size less than 3(q 3(n?k) + 1)/2 intersecting each k-space in 1 modulo q points (these are always small minimal blocking sets with respect to k-spaces) are linear blocking sets. As a consequence, we get that minimal blocking sets of PG(n, p 3), p ≥ 7 prime, of size less than 3(p 3(n?k) + 1)/2 with respect to k-spaces are linear. We also give a classification of small linear blocking sets of PG(n, q 3) which meet every (n ? 2)-space in 1 modulo q points. |
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