Information on Result #598781
There is no digital (90, 180, 194)-net over F2, because extracting embedded orthogonal array would yield linear OA(2180, 194, F2, 90) (dual of [194, 14, 91]-code), but
- residual code [i] would yield linear OA(290, 103, F2, 45) (dual of [103, 13, 46]-code), but
- 1 times truncation [i] would yield linear OA(289, 102, F2, 44) (dual of [102, 13, 45]-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 (90, 181, 194)-net over F2 | [i] | m-Reduction | |