Information on Result #598876
There is no digital (125, 245, 268)-net over F2, because extracting embedded orthogonal array would yield linear OA(2245, 268, F2, 120) (dual of [268, 23, 121]-code), but
- residual code [i] would yield OA(2125, 147, S2, 60), but
- the linear programming bound shows that M ≥ 4975 875550 493628 228516 818795 559541 294187 413504 / 103 046325 > 2125 [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 (125, 246, 268)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (125, 247, 268)-net over F2 | [i] | ||
| 3 | No digital (125, 248, 268)-net over F2 | [i] | ||