Information on Result #599056
There is no digital (53, 155, 185)-net over F3, because extracting embedded orthogonal array would yield linear OA(3155, 185, F3, 102) (dual of [185, 30, 103]-code), but
- residual code [i] would yield OA(353, 82, S3, 34), but
- the linear programming bound shows that M ≥ 109 763126 725714 200014 609915 641908 532996 574841 / 4 714638 489586 850000 > 353 [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 (53, 156, 185)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (53, 157, 185)-net over F3 | [i] | ||