Information on Result #598695
There is no digital (75, 147, 169)-net over F2, because extracting embedded orthogonal array would yield linear OA(2147, 169, F2, 72) (dual of [169, 22, 73]-code), but
- residual code [i] would yield OA(275, 96, S2, 36), but
- the linear programming bound shows that M ≥ 22708 462595 641194 417680 809984 / 528333 > 275 [i]
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, 148, 169)-net over F2 | [i] | m-Reduction | |