Information on Result #521505
There is no (44, 122, 143)-net in base 3, because extracting embedded orthogonal array would yield OA(3122, 143, S3, 78), but
- the linear programming bound shows that M ≥ 8735 398769 775184 146629 197873 837406 411369 253358 338730 455294 417467 450247 / 496339 944848 > 3122 [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 (44, 123, 143)-net in base 3 | [i] | m-Reduction | |
| 2 | No (44, 124, 143)-net in base 3 | [i] | ||