Information on Result #521048
There is no (7, 25, 31)-net in base 3, because extracting embedded orthogonal array would yield OA(325, 31, S3, 18), but
- the linear programming bound shows that M ≥ 503 289434 009142 / 475 > 325 [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 (7, 26, 31)-net in base 3 | [i] | m-Reduction | |