Information on Result #520688
There is no (95, 197, 203)-net in base 2, because extracting embedded orthogonal array would yield OA(2197, 203, S2, 102), but
- adding a parity check bit [i] would yield OA(2198, 204, S2, 103), but
- the (dual) Plotkin bound shows that M ≥ 6 427752 177035 961102 167848 369364 650410 088811 975131 171341 205504 / 13 > 2198 [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 (95, 198, 203)-net in base 2 | [i] | m-Reduction | |
| 2 | No (95, 199, 203)-net in base 2 | [i] | ||
| 3 | No (95, 200, 203)-net in base 2 | [i] | ||
| 4 | No (95, 201, 203)-net in base 2 | [i] | ||
| 5 | No (95, 202, 203)-net in base 2 | [i] | ||
| 6 | No (95, 203, 203)-net in base 2 | [i] | ||
| 7 | No (95, 204, 203)-net in base 2 | [i] | ||
| 8 | No (95, 205, 203)-net in base 2 | [i] | ||
| 9 | No (95, 206, 203)-net in base 2 | [i] | ||
| 10 | No (95, 207, 203)-net in base 2 | [i] | ||
| 11 | No (95, 208, 203)-net in base 2 | [i] | ||
| 12 | No (95, 209, 203)-net in base 2 | [i] | ||
| 13 | No (95, 210, 203)-net in base 2 | [i] | ||
| 14 | No (95, 211, 203)-net in base 2 | [i] | ||
| 15 | No (95, 212, 203)-net in base 2 | [i] | ||