Information on Result #598881
There is no digital (126, 246, 270)-net over F2, because extracting embedded orthogonal array would yield linear OA(2246, 270, F2, 120) (dual of [270, 24, 121]-code), but
- residual code [i] would yield OA(2126, 149, S2, 60), but
- the linear programming bound shows that M ≥ 40 354766 457887 934259 048521 444548 255732 989952 / 438495 > 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, 247, 270)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (126, 248, 270)-net over F2 | [i] | ||
| 3 | No digital (126, 249, 270)-net over F2 | [i] | ||