Information on Result #521091
There is no (12, 39, 46)-net in base 3, because extracting embedded orthogonal array would yield OA(339, 46, S3, 27), but
- the linear programming bound shows that M ≥ 17725 876239 305002 191858 / 4165 > 339 [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 (12, 40, 46)-net in base 3 | [i] | m-Reduction | |
| 2 | No (12, 41, 46)-net in base 3 | [i] | ||
| 3 | No (12, 42, 46)-net in base 3 | [i] | ||
| 4 | No (12, 43, 46)-net in base 3 | [i] | ||
| 5 | No (12, 44, 46)-net in base 3 | [i] | ||
| 6 | No (12, 45, 46)-net in base 3 | [i] | ||
| 7 | No (12, 46, 46)-net in base 3 | [i] | ||
| 8 | No (12, 47, 46)-net in base 3 | [i] | ||
| 9 | No (12, 48, 46)-net in base 3 | [i] | ||
| 10 | No (12, 49, 46)-net in base 3 | [i] | ||
| 11 | No (12, 50, 46)-net in base 3 | [i] | ||
| 12 | No (12, 51, 46)-net in base 3 | [i] | ||
| 13 | No (12, 52, 46)-net in base 3 | [i] | ||
| 14 | No (12, 53, 46)-net in base 3 | [i] | ||
| 15 | No (12, 54, 46)-net in base 3 | [i] | ||
| 16 | No (12, 55, 46)-net in base 3 | [i] | ||
| 17 | No (12, 56, 46)-net in base 3 | [i] | ||
| 18 | No (12, 57, 46)-net in base 3 | [i] | ||
| 19 | No (12, 58, 46)-net in base 3 | [i] | ||
| 20 | No (12, 59, 46)-net in base 3 | [i] | ||
| 21 | No (12, 60, 46)-net in base 3 | [i] | ||
| 22 | No (12, 61, 46)-net in base 3 | [i] | ||
| 23 | No (12, 62, 46)-net in base 3 | [i] | ||
| 24 | No (12, 63, 46)-net in base 3 | [i] | ||
| 25 | No (12, 64, 46)-net in base 3 | [i] | ||
| 26 | No (12, 65, 46)-net in base 3 | [i] | ||
| 27 | No (12, 66, 46)-net in base 3 | [i] | ||