Information on Result #599225
There is no digital (75, 222, 238)-net over F3, because extracting embedded orthogonal array would yield linear OA(3222, 238, F3, 147) (dual of [238, 16, 148]-code), but
- residual code [i] would yield OA(375, 90, S3, 49), but
- the linear programming bound shows that M ≥ 7 865942 474943 247001 112000 197553 099948 432417 / 12 714325 > 375 [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 (75, 223, 238)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (75, 224, 238)-net over F3 | [i] | ||