Information on Result #599196
There is no digital (71, 206, 237)-net over F3, because extracting embedded orthogonal array would yield linear OA(3206, 237, F3, 135) (dual of [237, 31, 136]-code), but
- residual code [i] would yield OA(371, 101, S3, 45), but
- the linear programming bound shows that M ≥ 216 926424 924730 553674 571114 916369 905530 828790 001490 300107 / 28450 931091 725033 434712 > 371 [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 (71, 207, 237)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (71, 208, 237)-net over F3 | [i] | ||