Information on Result #599478
There is no digital (47, 167, 283)-net over F4, because extracting embedded orthogonal array would yield linear OA(4167, 283, F4, 120) (dual of [283, 116, 121]-code), but
- residual code [i] would yield OA(447, 162, S4, 30), but
- the linear programming bound shows that M ≥ 661 618547 319544 075336 945316 804054 288235 251664 473292 800000 / 32634 021485 375754 527704 375031 > 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, 168, 283)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (47, 169, 283)-net over F4 | [i] | ||
| 3 | No digital (47, 170, 283)-net over F4 | [i] | ||