Information on Result #598763
There is no digital (87, 171, 192)-net over F2, because extracting embedded orthogonal array would yield linear OA(2171, 192, F2, 84) (dual of [192, 21, 85]-code), but
- residual code [i] would yield OA(287, 107, S2, 42), but
- the linear programming bound shows that M ≥ 1155 305065 783002 570789 057883 799552 / 7 380945 > 287 [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 (87, 172, 192)-net over F2 | [i] | m-Reduction | |