Information on Result #598882
There is no digital (126, 250, 267)-net over F2, because extracting embedded orthogonal array would yield linear OA(2250, 267, F2, 124) (dual of [267, 17, 125]-code), but
- residual code [i] would yield OA(2126, 142, S2, 62), but
- the linear programming bound shows that M ≥ 944964 132939 446113 037791 284838 020323 213312 / 10545 > 2126 [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 (126, 251, 267)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (126, 252, 267)-net over F2 | [i] | ||
| 3 | No digital (126, 253, 267)-net over F2 | [i] | ||