Information on Result #599216
There is no digital (74, 212, 254)-net over F3, because extracting embedded orthogonal array would yield linear OA(3212, 254, F3, 138) (dual of [254, 42, 139]-code), but
- residual code [i] would yield OA(374, 115, S3, 46), but
- the linear programming bound shows that M ≥ 8 763908 391706 642886 730085 119289 615348 861817 414825 091166 679403 / 41 340331 803107 168784 037085 > 374 [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 (74, 213, 254)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (74, 214, 254)-net over F3 | [i] | ||