Information on Result #520166
There is no (20, 40, 54)-net in base 2, because extracting embedded orthogonal array would yield OA(240, 54, S2, 20), but
- the linear programming bound shows that M ≥ 140 737488 355328 / 119 > 240 [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 (20, 41, 54)-net in base 2 | [i] | m-Reduction | |