Information on Result #598793
There is no digital (92, 184, 196)-net over F2, because extracting embedded orthogonal array would yield linear OA(2184, 196, F2, 92) (dual of [196, 12, 93]-code), but
- residual code [i] would yield linear OA(292, 103, F2, 46) (dual of [103, 11, 47]-code), but
- adding a parity check bit [i] would yield linear OA(293, 104, F2, 47) (dual of [104, 11, 48]-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 (92, 185, 196)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (92, 186, 196)-net over F2 | [i] | ||
| 3 | No digital (92, 187, 196)-net over F2 | [i] | ||