Information on Result #520653
There is no (88, 182, 189)-net in base 2, because extracting embedded orthogonal array would yield OA(2182, 189, S2, 94), but
- adding a parity check bit [i] would yield OA(2183, 190, S2, 95), but
- the (dual) Plotkin bound shows that M ≥ 49 039857 307708 443467 467104 868809 893875 799651 909875 269632 / 3 > 2183 [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 (88, 183, 189)-net in base 2 | [i] | m-Reduction | |
| 2 | No (88, 184, 189)-net in base 2 | [i] | ||
| 3 | No (88, 185, 189)-net in base 2 | [i] | ||
| 4 | No (88, 186, 189)-net in base 2 | [i] | ||
| 5 | No (88, 187, 189)-net in base 2 | [i] | ||
| 6 | No (88, 188, 189)-net in base 2 | [i] | ||
| 7 | No (88, 189, 189)-net in base 2 | [i] | ||
| 8 | No (88, 190, 189)-net in base 2 | [i] | ||
| 9 | No (88, 191, 189)-net in base 2 | [i] | ||
| 10 | No (88, 192, 189)-net in base 2 | [i] | ||
| 11 | No (88, 193, 189)-net in base 2 | [i] | ||
| 12 | No (88, 194, 189)-net in base 2 | [i] | ||
| 13 | No (88, 195, 189)-net in base 2 | [i] | ||