Information on Result #524050
There is no (1, 9, 124)-net in base 25, because extracting embedded orthogonal array would yield OA(259, 124, S25, 8), but
- the linear programming bound shows that M ≥ 119725 208199 920654 296875 / 31015 449154 > 259 [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, 10, 124)-net in base 25 | [i] | m-Reduction | |
| 2 | No (1, 11, 124)-net in base 25 | [i] | ||
| 3 | No (1, 12, 124)-net in base 25 | [i] | ||
| 4 | No (1, 13, 124)-net in base 25 | [i] | ||
| 5 | No (1, 14, 124)-net in base 25 | [i] | ||
| 6 | No (1, 15, 124)-net in base 25 | [i] | ||
| 7 | No (1, 16, 124)-net in base 25 | [i] | ||
| 8 | No (1, 17, 124)-net in base 25 | [i] | ||
| 9 | No (1, 18, 124)-net in base 25 | [i] | ||
| 10 | No (1, 19, 124)-net in base 25 | [i] | ||
| 11 | No (1, 20, 124)-net in base 25 | [i] | ||
| 12 | No (1, 21, 124)-net in base 25 | [i] | ||
| 13 | No (1, 22, 124)-net in base 25 | [i] | ||
| 14 | No (1, 23, 124)-net in base 25 | [i] | ||
| 15 | No (1, 24, 124)-net in base 25 | [i] | ||
| 16 | No (1, 25, 124)-net in base 25 | [i] | ||
| 17 | No (1, 26, 124)-net in base 25 | [i] | ||
| 18 | No (1, 27, 124)-net in base 25 | [i] | ||
| 19 | No (1, 28, 124)-net in base 25 | [i] | ||
| 20 | No (1, 29, 124)-net in base 25 | [i] | ||
| 21 | No (1, 30, 124)-net in base 25 | [i] | ||