Information on Result #521441
There is no (37, 105, 122)-net in base 3, because extracting embedded orthogonal array would yield OA(3105, 122, S3, 68), but
- the linear programming bound shows that M ≥ 41138 964191 045188 574191 437825 357748 296404 110765 403562 571641 / 318 455033 > 3105 [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 (37, 106, 122)-net in base 3 | [i] | m-Reduction | |
| 2 | No (37, 107, 122)-net in base 3 | [i] | ||