Information on Result #599094
There is no digital (58, 169, 200)-net over F3, because extracting embedded orthogonal array would yield linear OA(3169, 200, F3, 111) (dual of [200, 31, 112]-code), but
- residual code [i] would yield OA(358, 88, S3, 37), but
- the linear programming bound shows that M ≥ 161 188690 179521 564774 743221 611934 175250 646363 / 29813 529247 923155 > 358 [i]
Mode: Bound (linear).
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 digital (58, 170, 200)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (58, 171, 200)-net over F3 | [i] | ||