Information on Result #598796
There is no digital (93, 183, 206)-net over F2, because extracting embedded orthogonal array would yield linear OA(2183, 206, F2, 90) (dual of [206, 23, 91]-code), but
- residual code [i] would yield OA(293, 115, S2, 45), but
- 1 times truncation [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]
- 1 times truncation [i] would yield OA(292, 114, S2, 44), but
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 (93, 184, 206)-net over F2 | [i] | m-Reduction | |