Information on Result #598901
There is no digital (131, 259, 277)-net over F2, because extracting embedded orthogonal array would yield linear OA(2259, 277, F2, 128) (dual of [277, 18, 129]-code), but
- residual code [i] would yield OA(2131, 148, S2, 64), but
- the linear programming bound shows that M ≥ 37846 106847 625102 676119 046386 674320 128891 420672 / 12 104235 > 2131 [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 (131, 260, 277)-net over F2 | [i] | m-Reduction | |