Information on Result #599484
There is no digital (47, 187, 203)-net over F4, because extracting embedded orthogonal array would yield linear OA(4187, 203, F4, 140) (dual of [203, 16, 141]-code), but
- residual code [i] would yield OA(447, 62, S4, 35), but
- the linear programming bound shows that M ≥ 217 744891 226262 262890 190156 163220 242432 / 10152 833075 > 447 [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 (47, 188, 203)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (47, 189, 203)-net over F4 | [i] | ||
| 3 | No digital (47, 190, 203)-net over F4 | [i] | ||