Information on Result #599190
There is no digital (70, 208, 224)-net over F3, because extracting embedded orthogonal array would yield linear OA(3208, 224, F3, 138) (dual of [224, 16, 139]-code), but
- residual code [i] would yield OA(370, 85, S3, 46), but
- the linear programming bound shows that M ≥ 640 504927 462165 667703 027244 227660 956271 / 192089 > 370 [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 (70, 209, 224)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (70, 210, 224)-net over F3 | [i] | ||