Information on Result #598528
There is no digital (15, 29, 42)-net over F2, because extracting embedded orthogonal array would yield linear OA(229, 42, F2, 14) (dual of [42, 13, 15]-code), but
- adding a parity check bit [i] would yield linear OA(230, 43, F2, 15) (dual of [43, 13, 16]-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 (15, 30, 42)-net over F2 | [i] | m-Reduction | |