Information on Result #598885
There is no digital (127, 251, 269)-net over F2, because extracting embedded orthogonal array would yield linear OA(2251, 269, F2, 124) (dual of [269, 18, 125]-code), but
- residual code [i] would yield OA(2127, 144, S2, 62), but
- the linear programming bound shows that M ≥ 1 097070 350953 105606 205919 734360 020713 734144 / 5719 > 2127 [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 (127, 252, 269)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (127, 253, 269)-net over F2 | [i] | ||
| 3 | No digital (127, 254, 269)-net over F2 | [i] | ||