Information on Result #598758
There is no digital (86, 172, 187)-net over F2, because extracting embedded orthogonal array would yield linear OA(2172, 187, F2, 86) (dual of [187, 15, 87]-code), but
- residual code [i] would yield linear OA(286, 100, F2, 43) (dual of [100, 14, 44]-code), but
- 1 times truncation [i] would yield linear OA(285, 99, F2, 42) (dual of [99, 14, 43]-code), 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 (86, 173, 187)-net over F2 | [i] | m-Reduction | |