Information on Result #599037
There is no digital (51, 138, 234)-net over F3, because extracting embedded orthogonal array would yield linear OA(3138, 234, F3, 87) (dual of [234, 96, 88]-code), but
- residual code [i] would yield OA(351, 146, S3, 29), but
- the linear programming bound shows that M ≥ 5126 774601 249175 366045 349858 741246 206423 340601 352320 / 2311 172455 881906 807675 878437 > 351 [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 (51, 139, 234)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (51, 140, 234)-net over F3 | [i] | ||