Information on Result #520649
There is no (87, 181, 187)-net in base 2, because extracting embedded orthogonal array would yield OA(2181, 187, S2, 94), but
- the (dual) Plotkin bound shows that M ≥ 294 239143 846250 660804 802629 212859 363254 797911 459251 617792 / 95 > 2181 [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 (87, 182, 187)-net in base 2 | [i] | m-Reduction | |
| 2 | No (87, 183, 187)-net in base 2 | [i] | ||
| 3 | No (87, 184, 187)-net in base 2 | [i] | ||
| 4 | No (87, 185, 187)-net in base 2 | [i] | ||
| 5 | No (87, 186, 187)-net in base 2 | [i] | ||
| 6 | No (87, 187, 187)-net in base 2 | [i] | ||
| 7 | No (87, 188, 187)-net in base 2 | [i] | ||
| 8 | No (87, 189, 187)-net in base 2 | [i] | ||
| 9 | No (87, 190, 187)-net in base 2 | [i] | ||
| 10 | No (87, 191, 187)-net in base 2 | [i] | ||
| 11 | No (87, 192, 187)-net in base 2 | [i] | ||
| 12 | No (87, 193, 187)-net in base 2 | [i] | ||
| 13 | No (87, 194, 187)-net in base 2 | [i] | ||