Information on Result #598801
There is no digital (94, 186, 203)-net over F2, because extracting embedded orthogonal array would yield linear OA(2186, 203, F2, 92) (dual of [203, 17, 93]-code), but
- residual code [i] would yield OA(294, 110, S2, 46), but
- the linear programming bound shows that M ≥ 70 671520 962723 789133 441203 699712 / 3451 > 294 [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 (94, 187, 203)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (94, 188, 203)-net over F2 | [i] | ||
| 3 | No digital (94, 189, 203)-net over F2 | [i] | ||