Information on Result #598540
There is no digital (19, 39, 48)-net over F2, because extracting embedded orthogonal array would yield linear OA(239, 48, F2, 20) (dual of [48, 9, 21]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(240, 49, F2, 20) (dual of [49, 9, 21]-code), but
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 (19, 40, 48)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (19, 41, 48)-net over F2 | [i] | ||
| 3 | No digital (19, 42, 48)-net over F2 | [i] | ||