Information on Result #598577
There is no digital (32, 58, 106)-net over F2, because extracting embedded orthogonal array would yield linear OA(258, 106, F2, 26) (dual of [106, 48, 27]-code), but
- adding a parity check bit [i] would yield linear OA(259, 107, F2, 27) (dual of [107, 48, 28]-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 (32, 59, 106)-net over F2 | [i] | m-Reduction | |