Information on Result #520151
There is no (18, 36, 53)-net in base 2, because extracting embedded orthogonal array would yield OA(236, 53, S2, 18), but
- the linear programming bound shows that M ≥ 20 856361 189376 / 247 > 236 [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, 37, 53)-net in base 2 | [i] | m-Reduction | |