Information on Result #598755
There is no digital (86, 164, 193)-net over F2, because extracting embedded orthogonal array would yield linear OA(2164, 193, F2, 78) (dual of [193, 29, 79]-code), but
- 2 times code embedding in larger space [i] would yield linear OA(2166, 195, F2, 78) (dual of [195, 29, 79]-code), but
- adding a parity check bit [i] would yield linear OA(2167, 196, F2, 79) (dual of [196, 29, 80]-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 (86, 165, 193)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (86, 166, 193)-net over F2 | [i] | ||
| 3 | No digital (86, 167, 193)-net over F2 | [i] | ||