Name
Abstract | ||
|---|---|---|
We prove that a non-trivial minimal blocking set with respect to hyperplanes in PG(r,2), r≥3, is a skeleton contained in some s-flat with odd s≥3. We also consider non-trivial minimal blocking sets with respect to lines and planes in PG(r,2), r≥3. Especially, we show that there are exactly two non-trivial minimal blocking sets with respect to lines and six non-trivial minimal blocking sets with respect to planes up to projective equivalence in PG(4,2). A characterization of an elliptic quadric in PG(5,2) as a special non-trivial minimal blocking set with respect to planes meeting every hyperplane in a non-trivial minimal blocking sets with respect to planes is also given. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1016/j.ffa.2021.101814 | Finite Fields and Their Applications |
Keywords | DocType | Volume |
51E21,51E20 | Journal | 72 |
ISSN | Citations | PageRank |
1071-5797 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nanami Bono | 1 | 0 | 0.34 |
| Tatsuya Maruta | 2 | 0 | 0.34 |
| Keisuke Shiromoto | 3 | 0 | 0.34 |
| Kohei Yamada | 4 | 0 | 0.34 |