Information on Result #599226
There is no digital (75, 225, 237)-net over F3, because extracting embedded orthogonal array would yield linear OA(3225, 237, F3, 150) (dual of [237, 12, 151]-code), but
- residual code [i] would yield OA(375, 86, S3, 50), but
- the linear programming bound shows that M ≥ 14 616371 714296 425318 957520 407678 625149 870087 / 21 437119 > 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, 226, 237)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (75, 227, 237)-net over F3 | [i] | ||