Information on Result #520702
There is no (97, 201, 207)-net in base 2, because extracting embedded orthogonal array would yield OA(2201, 207, S2, 104), but
- adding a parity check bit [i] would yield OA(2202, 208, S2, 105), but
- the (dual) Plotkin bound shows that M ≥ 411 376139 330301 510538 742295 639337 626245 683966 408394 965837 152256 / 53 > 2202 [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 (97, 202, 207)-net in base 2 | [i] | m-Reduction | |
| 2 | No (97, 203, 207)-net in base 2 | [i] | ||
| 3 | No (97, 204, 207)-net in base 2 | [i] | ||
| 4 | No (97, 205, 207)-net in base 2 | [i] | ||
| 5 | No (97, 206, 207)-net in base 2 | [i] | ||
| 6 | No (97, 207, 207)-net in base 2 | [i] | ||
| 7 | No (97, 208, 207)-net in base 2 | [i] | ||
| 8 | No (97, 209, 207)-net in base 2 | [i] | ||
| 9 | No (97, 210, 207)-net in base 2 | [i] | ||
| 10 | No (97, 211, 207)-net in base 2 | [i] | ||
| 11 | No (97, 212, 207)-net in base 2 | [i] | ||
| 12 | No (97, 213, 207)-net in base 2 | [i] | ||
| 13 | No (97, 214, 207)-net in base 2 | [i] | ||
| 14 | No (97, 215, 207)-net in base 2 | [i] | ||
| 15 | No (97, 216, 207)-net in base 2 | [i] | ||