Information on Result #598888
There is no digital (128, 252, 271)-net over F2, because extracting embedded orthogonal array would yield linear OA(2252, 271, F2, 124) (dual of [271, 19, 125]-code), but
- residual code [i] would yield OA(2128, 146, S2, 62), but
- the linear programming bound shows that M ≥ 10 546031 115613 724859 656905 833525 360409 444352 / 30229 > 2128 [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 (128, 253, 271)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (128, 254, 271)-net over F2 | [i] | ||
| 3 | No digital (128, 255, 271)-net over F2 | [i] | ||