Information on Result #598587
There is no digital (34, 70, 77)-net over F2, because extracting embedded orthogonal array would yield linear OA(270, 77, F2, 36) (dual of [77, 7, 37]-code), but
- residual code [i] would yield linear OA(234, 40, F2, 18) (dual of [40, 6, 19]-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 (34, 71, 77)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (34, 72, 77)-net over F2 | [i] | ||
| 3 | No digital (34, 73, 77)-net over F2 | [i] | ||
| 4 | No digital (34, 74, 77)-net over F2 | [i] | ||
| 5 | No digital (34, 75, 77)-net over F2 | [i] | ||
| 6 | No digital (34, 76, 77)-net over F2 | [i] | ||
| 7 | No digital (34, 77, 77)-net over F2 | [i] | ||
| 8 | No digital (34, 78, 77)-net over F2 | [i] | ||
| 9 | No digital (34, 79, 77)-net over F2 | [i] | ||