Information on Result #520695
There is no (96, 198, 205)-net in base 2, because extracting embedded orthogonal array would yield OA(2198, 205, S2, 102), but
- adding a parity check bit [i] would yield OA(2199, 206, S2, 103), but
- the (dual) Plotkin bound shows that M ≥ 12 855504 354071 922204 335696 738729 300820 177623 950262 342682 411008 / 13 > 2199 [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 (96, 199, 205)-net in base 2 | [i] | m-Reduction | |
| 2 | No (96, 200, 205)-net in base 2 | [i] | ||
| 3 | No (96, 201, 205)-net in base 2 | [i] | ||
| 4 | No (96, 202, 205)-net in base 2 | [i] | ||
| 5 | No (96, 203, 205)-net in base 2 | [i] | ||
| 6 | No (96, 204, 205)-net in base 2 | [i] | ||
| 7 | No (96, 205, 205)-net in base 2 | [i] | ||
| 8 | No (96, 206, 205)-net in base 2 | [i] | ||
| 9 | No (96, 207, 205)-net in base 2 | [i] | ||
| 10 | No (96, 208, 205)-net in base 2 | [i] | ||
| 11 | No (96, 209, 205)-net in base 2 | [i] | ||
| 12 | No (96, 210, 205)-net in base 2 | [i] | ||
| 13 | No (96, 211, 205)-net in base 2 | [i] | ||
| 14 | No (96, 212, 205)-net in base 2 | [i] | ||
| 15 | No (96, 213, 205)-net in base 2 | [i] | ||