Information on Result #598733
There is no digital (82, 164, 178)-net over F2, because extracting embedded orthogonal array would yield linear OA(2164, 178, F2, 82) (dual of [178, 14, 83]-code), but
- residual code [i] would yield linear OA(282, 95, F2, 41) (dual of [95, 13, 42]-code), but
- 1 times truncation [i] would yield linear OA(281, 94, F2, 40) (dual of [94, 13, 41]-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 (82, 165, 178)-net over F2 | [i] | m-Reduction | |