Information on Result #598700
There is no digital (76, 146, 174)-net over F2, because extracting embedded orthogonal array would yield linear OA(2146, 174, F2, 70) (dual of [174, 28, 71]-code), but
- 2 times code embedding in larger space [i] would yield linear OA(2148, 176, F2, 70) (dual of [176, 28, 71]-code), but
- adding a parity check bit [i] would yield linear OA(2149, 177, F2, 71) (dual of [177, 28, 72]-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 (76, 147, 174)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (76, 148, 174)-net over F2 | [i] | ||
| 3 | No digital (76, 149, 174)-net over F2 | [i] | ||