Information on Result #599045
There is no digital (52, 142, 228)-net over F3, because extracting embedded orthogonal array would yield linear OA(3142, 228, F3, 90) (dual of [228, 86, 91]-code), but
- residual code [i] would yield OA(352, 137, S3, 30), but
- the linear programming bound shows that M ≥ 44562 633012 596463 108701 497133 833862 064231 636556 224801 562500 / 6631 930927 956088 032510 798182 283163 > 352 [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 (52, 143, 228)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (52, 144, 228)-net over F3 | [i] | ||