Information on Result #521164
There is no (19, 56, 70)-net in base 3, because extracting embedded orthogonal array would yield OA(356, 70, S3, 37), but
- the linear programming bound shows that M ≥ 185 546099 770621 322782 066734 120777 / 337535 > 356 [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 (19, 57, 70)-net in base 3 | [i] | m-Reduction | |