Information on Result #598872
There is no digital (124, 244, 266)-net over F2, because extracting embedded orthogonal array would yield linear OA(2244, 266, F2, 120) (dual of [266, 22, 121]-code), but
- residual code [i] would yield OA(2124, 145, S2, 60), but
- the linear programming bound shows that M ≥ 5708 745767 519656 448539 450248 080629 672418 738176 / 226 811221 > 2124 [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 (124, 245, 266)-net over F2 | [i] | m-Reduction | |