Information on Result #599566
There is no digital (58, 230, 246)-net over F4, because extracting embedded orthogonal array would yield linear OA(4230, 246, F4, 172) (dual of [246, 16, 173]-code), but
- residual code [i] would yield OA(458, 73, S4, 43), but
- the linear programming bound shows that M ≥ 2189 401164 029144 651258 105721 344079 901877 075968 / 23088 690625 > 458 [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 (58, 231, 246)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (58, 232, 246)-net over F4 | [i] | ||
| 3 | No digital (58, 233, 246)-net over F4 | [i] | ||