Information on Result #524153
There is no (1, 40, 102)-net in base 27, because extracting embedded orthogonal array would yield OA(2740, 102, S27, 39), but
- the linear programming bound shows that M ≥ 1 433148 992150 275824 215814 861808 530567 427328 321769 353624 967879 / 794 > 2740 [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 (1, 41, 102)-net in base 27 | [i] | m-Reduction | |
| 2 | No (1, 42, 102)-net in base 27 | [i] | ||
| 3 | No (1, 43, 102)-net in base 27 | [i] | ||
| 4 | No (1, 44, 102)-net in base 27 | [i] | ||
| 5 | No (1, 45, 102)-net in base 27 | [i] | ||
| 6 | No (1, 46, 102)-net in base 27 | [i] | ||
| 7 | No (1, 47, 102)-net in base 27 | [i] | ||
| 8 | No (1, 48, 102)-net in base 27 | [i] | ||
| 9 | No (1, 49, 102)-net in base 27 | [i] | ||
| 10 | No (1, 50, 102)-net in base 27 | [i] | ||
| 11 | No (1, 51, 102)-net in base 27 | [i] | ||
| 12 | No (1, 52, 102)-net in base 27 | [i] | ||
| 13 | No (1, 53, 102)-net in base 27 | [i] | ||