Information on Result #520658
There is no (89, 185, 191)-net in base 2, because extracting embedded orthogonal array would yield OA(2185, 191, S2, 96), but
- adding a parity check bit [i] would yield OA(2186, 192, S2, 97), but
- the (dual) Plotkin bound shows that M ≥ 6277 101735 386680 763835 789423 207666 416102 355444 464034 512896 / 49 > 2186 [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 (89, 186, 191)-net in base 2 | [i] | m-Reduction | |
| 2 | No (89, 187, 191)-net in base 2 | [i] | ||
| 3 | No (89, 188, 191)-net in base 2 | [i] | ||
| 4 | No (89, 189, 191)-net in base 2 | [i] | ||
| 5 | No (89, 190, 191)-net in base 2 | [i] | ||
| 6 | No (89, 191, 191)-net in base 2 | [i] | ||
| 7 | No (89, 192, 191)-net in base 2 | [i] | ||
| 8 | No (89, 193, 191)-net in base 2 | [i] | ||
| 9 | No (89, 194, 191)-net in base 2 | [i] | ||
| 10 | No (89, 195, 191)-net in base 2 | [i] | ||
| 11 | No (89, 196, 191)-net in base 2 | [i] | ||
| 12 | No (89, 197, 191)-net in base 2 | [i] | ||
| 13 | No (89, 198, 191)-net in base 2 | [i] | ||