Name
Abstract | ||
|---|---|---|
In this work, we introduce a natural notion concerning finite vector spaces. A family of k-dimensional subspaces of Fqn, which forms a partial spread, is called almost affinely disjoint if any (k+1)-dimensional subspace containing a subspace from the family non-trivially intersects with only a few subspaces from the family. The central question discussed in the paper is the polynomial growth (in q) of the maximal cardinality of these families given the parameters k and n. For the cases k=1 and k=2, optimal families are constructed. For other settings, we find lower and upper bounds on the polynomial growth. Additionally, some connections with problems in coding theory are shown. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1016/j.ffa.2021.101879 | Finite Fields and Their Applications |
Keywords | DocType | Volume |
51E23,11T7,11T06,05B99 | Journal | 75 |
ISSN | Citations | PageRank |
1071-5797 | 1 | 0.36 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hedongliang Liu | 1 | 1 | 0.36 |
| Nikita Polyanskii | 2 | 9 | 10.38 |
| Ilya Vorobyev | 3 | 1 | 0.36 |
| Antonia Wachter-Zeh | 4 | 129 | 33.65 |