Information on Result #524073
There is no (2, 45, 187)-net in base 25, because extracting embedded orthogonal array would yield OA(2545, 187, S25, 43), but
- the linear programming bound shows that M ≥ 111 488601 007381 568900 361473 791104 508011 644280 696117 448314 907960 593700 408935 546875 / 137824 248946 330259 > 2545 [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 (2, 46, 187)-net in base 25 | [i] | m-Reduction | |
| 2 | No (2, 47, 187)-net in base 25 | [i] | ||
| 3 | No (2, 48, 187)-net in base 25 | [i] | ||
| 4 | No (2, 49, 187)-net in base 25 | [i] | ||
| 5 | No (2, 50, 187)-net in base 25 | [i] | ||
| 6 | No (2, 51, 187)-net in base 25 | [i] | ||
| 7 | No (2, 52, 187)-net in base 25 | [i] | ||
| 8 | No (2, 53, 187)-net in base 25 | [i] | ||
| 9 | No (2, 54, 187)-net in base 25 | [i] | ||