Information on Result #599443
There is no digital (42, 150, 259)-net over F4, because extracting embedded orthogonal array would yield linear OA(4150, 259, F4, 108) (dual of [259, 109, 109]-code), but
- residual code [i] would yield OA(442, 150, S4, 27), but
- the linear programming bound shows that M ≥ 6 907764 547941 000764 622618 877042 097977 075368 460288 000000 / 349879 061882 751493 871160 963067 > 442 [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 (42, 151, 259)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (42, 152, 259)-net over F4 | [i] | ||
| 3 | No digital (42, 153, 259)-net over F4 | [i] | ||