Information on Result #521081
There is no (11, 37, 44)-net in base 3, because extracting embedded orthogonal array would yield OA(337, 44, S3, 26), but
- the linear programming bound shows that M ≥ 12 157665 459056 928801 / 17 > 337 [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 (11, 38, 44)-net in base 3 | [i] | m-Reduction | |
| 2 | No (11, 39, 44)-net in base 3 | [i] | ||