Abstract
We demonstrate that there are at least 50 mutually disjoint Steiner systems S(5, 8, 24) and there are at least 35 mutually disjoint 5-(24, 12, 48) designs. The latter result provides the existence of a simple 5-(24, 12, 6m) design for m = 24, 32, 40, 48, 56, 64, 72, 80, 112, 120, 128, 136, 144, 152, 160, 168, 200, 208, 216, 224, 232, 240, 248 and 256.
| Original language | English |
|---|---|
| Pages (from-to) | 1-6 |
| Number of pages | 6 |
| Journal | Electronic Journal of Combinatorics |
| Volume | 17 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2010 |
| Externally published | Yes |
ASJC Scopus subject areas
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics
- Applied Mathematics