Information on Result #599073
There is no digital (56, 152, 247)-net over F3, because extracting embedded orthogonal array would yield linear OA(3152, 247, F3, 96) (dual of [247, 95, 97]-code), but
- residual code [i] would yield OA(356, 150, S3, 32), but
- the linear programming bound shows that M ≥ 1 042121 495058 696990 589459 594226 638528 877701 897049 834059 577395 312500 / 1911 837015 144775 294785 556339 011193 770361 > 356 [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 (56, 153, 247)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (56, 154, 247)-net over F3 | [i] | ||