Information on Result #598697
There is no digital (75, 151, 162)-net over F2, because extracting embedded orthogonal array would yield linear OA(2151, 162, F2, 76) (dual of [162, 11, 77]-code), but
- residual code [i] would yield linear OA(275, 85, F2, 38) (dual of [85, 10, 39]-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 (75, 152, 162)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (75, 153, 162)-net over F2 | [i] | ||
| 3 | No digital (75, 154, 162)-net over F2 | [i] | ||