Information on Result #598772
There is no digital (89, 169, 197)-net over F2, because extracting embedded orthogonal array would yield linear OA(2169, 197, F2, 80) (dual of [197, 28, 81]-code), but
- adding a parity check bit [i] would yield linear OA(2170, 198, F2, 81) (dual of [198, 28, 82]-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 (89, 170, 197)-net over F2 | [i] | m-Reduction | |