Information on Result #598727
There is no digital (81, 163, 174)-net over F2, because extracting embedded orthogonal array would yield linear OA(2163, 174, F2, 82) (dual of [174, 11, 83]-code), but
- residual code [i] would yield linear OA(281, 91, F2, 41) (dual of [91, 10, 42]-code), but
- 1 times truncation [i] would yield linear OA(280, 90, F2, 40) (dual of [90, 10, 41]-code), but
- residual code [i] would yield linear OA(240, 49, F2, 20) (dual of [49, 9, 21]-code), but
- 1 times truncation [i] would yield linear OA(280, 90, F2, 40) (dual of [90, 10, 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 (81, 164, 174)-net over F2 | [i] | m-Reduction | |