Information on Result #598757
There is no digital (86, 170, 188)-net over F2, because extracting embedded orthogonal array would yield linear OA(2170, 188, F2, 84) (dual of [188, 18, 85]-code), but
- residual code [i] would yield OA(286, 103, S2, 42), but
- the linear programming bound shows that M ≥ 158456 325028 528675 187087 900672 / 1705 > 286 [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 (86, 171, 188)-net over F2 | [i] | m-Reduction | |