Information on Result #599211
There is no digital (73, 217, 233)-net over F3, because extracting embedded orthogonal array would yield linear OA(3217, 233, F3, 144) (dual of [233, 16, 145]-code), but
- residual code [i] would yield OA(373, 88, S3, 48), but
- the linear programming bound shows that M ≥ 21 779877 362252 895710 497054 495927 589540 336685 / 227 684429 > 373 [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 (73, 218, 233)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (73, 219, 233)-net over F3 | [i] | ||