Information on Result #599616
There is no digital (63, 243, 284)-net over F4, because extracting embedded orthogonal array would yield linear OA(4243, 284, F4, 180) (dual of [284, 41, 181]-code), but
- residual code [i] would yield OA(463, 103, S4, 45), but
- the linear programming bound shows that M ≥ 30 963907 201042 572946 047598 093595 047914 220745 773823 416057 277667 026891 964416 / 314660 526989 952486 919791 531363 400925 > 463 [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 (63, 244, 284)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (63, 245, 284)-net over F4 | [i] | ||
| 3 | No digital (63, 246, 284)-net over F4 | [i] | ||