Information on Result #598764
There is no digital (87, 173, 191)-net over F2, because extracting embedded orthogonal array would yield linear OA(2173, 191, F2, 86) (dual of [191, 18, 87]-code), but
- residual code [i] would yield OA(287, 104, S2, 43), but
- 1 times truncation [i] would yield OA(286, 103, S2, 42), but
- the linear programming bound shows that M ≥ 158456 325028 528675 187087 900672 / 1705 > 286 [i]
- 1 times truncation [i] would yield OA(286, 103, S2, 42), 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 (87, 174, 191)-net over F2 | [i] | m-Reduction | |