Information on Result #521153
There is no (18, 55, 66)-net in base 3, because extracting embedded orthogonal array would yield OA(355, 66, S3, 37), but
- the linear programming bound shows that M ≥ 1 017387 798605 188884 343066 396824 / 4199 > 355 [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 (18, 56, 66)-net in base 3 | [i] | m-Reduction | |