Information on Result #599006
There is no digital (47, 125, 224)-net over F3, because extracting embedded orthogonal array would yield linear OA(3125, 224, F3, 78) (dual of [224, 99, 79]-code), but
- residual code [i] would yield OA(347, 145, S3, 26), but
- the linear programming bound shows that M ≥ 831 528639 252434 333719 554172 193113 411271 544000 / 29642 853144 349355 775349 > 347 [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 (47, 126, 224)-net over F3 | [i] | m-Reduction | |