Information on Result #598736
There is no digital (83, 159, 192)-net over F2, because extracting embedded orthogonal array would yield linear OA(2159, 192, F2, 76) (dual of [192, 33, 77]-code), but
- 4 times code embedding in larger space [i] would yield linear OA(2163, 196, F2, 76) (dual of [196, 33, 77]-code), but
- adding a parity check bit [i] would yield linear OA(2164, 197, F2, 77) (dual of [197, 33, 78]-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 (83, 160, 192)-net over F2 | [i] | m-Reduction | |