|
|||||
|
|
Small point sets of PG(n, p 3h ) intersecting each line in 1 mod p h points |
|
| Authors: | Nóra V. Harrach Klaus Metsch Tamás Szőnyi Zsuzsa Weiner |
| Affiliation: | 1. Department of Computer Science, E?tv?s Loránd University, Pázmány Péter stny. 1/C, 1117, Budapest, Hungary 2. Matematisches Intitut, Justus-Liebig-Universit?t Gie?en, Arndtstrasse 2, 35392, Gie?en, Germany 3. Computer and Automation Research Institute of the Hungarian Academy of Sciences, Lágymányosi út 11, 1111, Budapest, Hungary 4. Prezi, Krúdy Gyula utca 12, 1088, Budapest, Hungary |
| Abstract: | The main result of this paper is that point sets of PG(n, q), q = p 3h , p ≥ 7 prime, of size < 3(q n-1 + 1)/2 intersecting each line in 1 modulo ${sqrt[3] q}$ points (these are always small minimal blocking sets with respect to lines) are linear blocking sets. As a consequence, we get that minimal blocking sets of PG(n, p 3), p ≥ 7 prime, of size < 3(p 3(n-1) + 1)/2 with respect to lines are always linear. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |