Information on Result #520138
There is no (16, 32, 48)-net in base 2, because extracting embedded orthogonal array would yield OA(232, 48, S2, 16), but
- the linear programming bound shows that M ≥ 25 082609 008640 / 5643 > 232 [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 (16, 33, 48)-net in base 2 | [i] | m-Reduction | |