Information on Result #521360
There is no (31, 89, 105)-net in base 3, because extracting embedded orthogonal array would yield OA(389, 105, S3, 58), but
- the linear programming bound shows that M ≥ 256 129902 432927 359640 404231 835988 695464 485658 001855 / 65 963711 > 389 [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 (31, 90, 105)-net in base 3 | [i] | m-Reduction | |