Information on Result #598791
There is no digital (92, 176, 206)-net over F2, because extracting embedded orthogonal array would yield linear OA(2176, 206, F2, 84) (dual of [206, 30, 85]-code), but
- 3 times code embedding in larger space [i] would yield linear OA(2179, 209, F2, 84) (dual of [209, 30, 85]-code), but
- adding a parity check bit [i] would yield linear OA(2180, 210, F2, 85) (dual of [210, 30, 86]-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 (92, 177, 206)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (92, 178, 206)-net over F2 | [i] | ||
| 3 | No digital (92, 179, 206)-net over F2 | [i] | ||