Information on Result #599168
There is no digital (67, 199, 215)-net over F3, because extracting embedded orthogonal array would yield linear OA(3199, 215, F3, 132) (dual of [215, 16, 133]-code), but
- residual code [i] would yield OA(367, 82, S3, 44), but
- the linear programming bound shows that M ≥ 11063 764601 718263 371177 932141 744468 313023 / 98 314060 > 367 [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 (67, 200, 215)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (67, 201, 215)-net over F3 | [i] | ||