Information on Result #599161
There is no digital (66, 198, 210)-net over F3, because extracting embedded orthogonal array would yield linear OA(3198, 210, F3, 132) (dual of [210, 12, 133]-code), but
- residual code [i] would yield OA(366, 77, S3, 44), but
- the linear programming bound shows that M ≥ 34 245670 463812 538347 598340 341640 500169 / 1 016275 > 366 [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 (66, 199, 210)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (66, 200, 210)-net over F3 | [i] | ||