Information on Result #599450
There is no digital (43, 155, 252)-net over F4, because extracting embedded orthogonal array would yield linear OA(4155, 252, F4, 112) (dual of [252, 97, 113]-code), but
- residual code [i] would yield OA(443, 139, S4, 28), but
- the linear programming bound shows that M ≥ 1035 121114 338894 134286 782748 220018 948622 504479 948800 000000 / 12 858495 004117 038732 982555 334443 > 443 [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 (43, 156, 252)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (43, 157, 252)-net over F4 | [i] | ||
| 3 | No digital (43, 158, 252)-net over F4 | [i] | ||