Information on Result #598792
There is no digital (92, 180, 203)-net over F2, because extracting embedded orthogonal array would yield linear OA(2180, 203, F2, 88) (dual of [203, 23, 89]-code), but
- residual code [i] would yield OA(292, 114, S2, 44), but
- the linear programming bound shows that M ≥ 26 699890 767307 081769 024311 263232 / 4557 > 292 [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 (92, 181, 203)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (92, 182, 203)-net over F2 | [i] | ||
| 3 | No digital (92, 183, 203)-net over F2 | [i] | ||