Information on Result #520356
There is no (40, 82, 92)-net in base 2, because extracting embedded orthogonal array would yield OA(282, 92, S2, 42), but
- the linear programming bound shows that M ≥ 4100 676380 132822 160603 348992 / 693 > 282 [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 (40, 83, 92)-net in base 2 | [i] | m-Reduction | |
| 2 | No (40, 84, 92)-net in base 2 | [i] | ||
| 3 | No (40, 85, 92)-net in base 2 | [i] | ||