Information on Result #599605
There is no digital (62, 238, 284)-net over F4, because extracting embedded orthogonal array would yield linear OA(4238, 284, F4, 176) (dual of [284, 46, 177]-code), but
- residual code [i] would yield OA(462, 107, S4, 44), but
- the linear programming bound shows that M ≥ 17622 602942 558177 133437 108590 576398 639747 070941 352929 752748 829629 227505 655642 080394 898835 505152 / 826 744207 227851 738915 816443 333621 359995 803052 054368 328125 > 462 [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 (62, 239, 284)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (62, 240, 284)-net over F4 | [i] | ||
| 3 | No digital (62, 241, 284)-net over F4 | [i] | ||