Information on Result #599762
There is no digital (32, 147, 229)-net over F5, because extracting embedded orthogonal array would yield linear OA(5147, 229, F5, 115) (dual of [229, 82, 116]-code), but
- residual code [i] would yield OA(532, 113, S5, 23), but
- the linear programming bound shows that M ≥ 10 335469 858211 203627 319031 252193 450927 734375 000000 / 440 686191 472857 007507 695751 > 532 [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 (32, 148, 229)-net over F5 | [i] | m-Reduction | |
| 2 | No digital (32, 149, 229)-net over F5 | [i] | ||
| 3 | No digital (32, 150, 229)-net over F5 | [i] | ||