Information on Result #520662
There is no (90, 186, 193)-net in base 2, because extracting embedded orthogonal array would yield OA(2186, 193, S2, 96), but
- adding a parity check bit [i] would yield OA(2187, 194, S2, 97), but
- the (dual) Plotkin bound shows that M ≥ 12554 203470 773361 527671 578846 415332 832204 710888 928069 025792 / 49 > 2187 [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 (90, 187, 193)-net in base 2 | [i] | m-Reduction | |
| 2 | No (90, 188, 193)-net in base 2 | [i] | ||
| 3 | No (90, 189, 193)-net in base 2 | [i] | ||
| 4 | No (90, 190, 193)-net in base 2 | [i] | ||
| 5 | No (90, 191, 193)-net in base 2 | [i] | ||
| 6 | No (90, 192, 193)-net in base 2 | [i] | ||
| 7 | No (90, 193, 193)-net in base 2 | [i] | ||
| 8 | No (90, 194, 193)-net in base 2 | [i] | ||
| 9 | No (90, 195, 193)-net in base 2 | [i] | ||
| 10 | No (90, 196, 193)-net in base 2 | [i] | ||
| 11 | No (90, 197, 193)-net in base 2 | [i] | ||
| 12 | No (90, 198, 193)-net in base 2 | [i] | ||
| 13 | No (90, 199, 193)-net in base 2 | [i] | ||
| 14 | No (90, 200, 193)-net in base 2 | [i] | ||
| 15 | No (90, 201, 193)-net in base 2 | [i] | ||