Information on Result #521073
There is no (10, 34, 40)-net in base 3, because extracting embedded orthogonal array would yield OA(334, 40, S3, 24), but
- the linear programming bound shows that M ≥ 2 701703 435345 984178 / 155 > 334 [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 (10, 35, 40)-net in base 3 | [i] | m-Reduction | |
| 2 | No (10, 36, 40)-net in base 3 | [i] | ||
| 3 | No (10, 37, 40)-net in base 3 | [i] | ||
| 4 | No (10, 38, 40)-net in base 3 | [i] | ||
| 5 | No (10, 39, 40)-net in base 3 | [i] | ||
| 6 | No (10, 40, 40)-net in base 3 | [i] | ||
| 7 | No (10, 41, 40)-net in base 3 | [i] | ||
| 8 | No (10, 42, 40)-net in base 3 | [i] | ||
| 9 | No (10, 43, 40)-net in base 3 | [i] | ||
| 10 | No (10, 44, 40)-net in base 3 | [i] | ||
| 11 | No (10, 45, 40)-net in base 3 | [i] | ||
| 12 | No (10, 46, 40)-net in base 3 | [i] | ||
| 13 | No (10, 47, 40)-net in base 3 | [i] | ||
| 14 | No (10, 48, 40)-net in base 3 | [i] | ||
| 15 | No (10, 49, 40)-net in base 3 | [i] | ||
| 16 | No (10, 50, 40)-net in base 3 | [i] | ||
| 17 | No (10, 51, 40)-net in base 3 | [i] | ||
| 18 | No (10, 52, 40)-net in base 3 | [i] | ||
| 19 | No (10, 53, 40)-net in base 3 | [i] | ||
| 20 | No (10, 54, 40)-net in base 3 | [i] | ||
| 21 | No (10, 55, 40)-net in base 3 | [i] | ||
| 22 | No (10, 56, 40)-net in base 3 | [i] | ||
| 23 | No (10, 57, 40)-net in base 3 | [i] | ||