Information on Result #523440
There is no (15, 108, 124)-net in base 8, because extracting embedded orthogonal array would yield OA(8108, 124, S8, 93), but
- the linear programming bound shows that M ≥ 302067 636843 505531 883890 845707 740199 346768 359063 955658 182923 822512 167902 446126 353225 119662 763164 078853 468429 746176 / 7795 981619 009375 > 8108 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (15, 109, 124)-net in base 8 | [i] | m-Reduction | |
| 2 | No (15, 110, 124)-net in base 8 | [i] | ||
| 3 | No (15, 111, 124)-net in base 8 | [i] | ||