Information on Result #522451
There is no (9, 46, 57)-net in base 5, because extracting embedded orthogonal array would yield OA(546, 57, S5, 37), but
- the linear programming bound shows that M ≥ 12824 852291 259958 292357 623577 117919 921875 / 78 608816 > 546 [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 (9, 47, 57)-net in base 5 | [i] | m-Reduction | |