Information on Result #598877
There is no digital (125, 249, 265)-net over F2, because extracting embedded orthogonal array would yield linear OA(2249, 265, F2, 124) (dual of [265, 16, 125]-code), but
- residual code [i] would yield OA(2125, 140, S2, 62), but
- the linear programming bound shows that M ≥ 6 637930 666822 611724 087981 388997 431471 898624 / 155363 > 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, 250, 265)-net over F2 | [i] | m-Reduction | |