Information on Result #599218
There is no digital (74, 218, 237)-net over F3, because extracting embedded orthogonal array would yield linear OA(3218, 237, F3, 144) (dual of [237, 19, 145]-code), but
- residual code [i] would yield OA(374, 92, S3, 48), but
- the linear programming bound shows that M ≥ 3 583772 877980 231256 721753 514663 969433 633846 / 17 172295 > 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, 219, 237)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (74, 220, 237)-net over F3 | [i] | ||