Information on Result #520159
There is no (19, 41, 49)-net in base 2, because extracting embedded orthogonal array would yield OA(241, 49, S2, 22), but
- the linear programming bound shows that M ≥ 45 629732 552704 / 17 > 241 [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, 42, 49)-net in base 2 | [i] | m-Reduction | |