Information on Result #520357
There is no (40, 86, 91)-net in base 2, because extracting embedded orthogonal array would yield OA(286, 91, S2, 46), but
- the (dual) Plotkin bound shows that M ≥ 3713 820117 856140 824697 372672 / 47 > 286 [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, 87, 91)-net in base 2 | [i] | m-Reduction | |
| 2 | No (40, 88, 91)-net in base 2 | [i] | ||
| 3 | No (40, 89, 91)-net in base 2 | [i] | ||