Information on Result #598768
There is no digital (88, 170, 194)-net over F2, because extracting embedded orthogonal array would yield linear OA(2170, 194, F2, 82) (dual of [194, 24, 83]-code), but
- 2 times code embedding in larger space [i] would yield linear OA(2172, 196, F2, 82) (dual of [196, 24, 83]-code), but
- adding a parity check bit [i] would yield linear OA(2173, 197, F2, 83) (dual of [197, 24, 84]-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 (88, 171, 194)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (88, 172, 194)-net over F2 | [i] | ||
| 3 | No digital (88, 173, 194)-net over F2 | [i] | ||
| 4 | No digital (88, 174, 194)-net over F2 | [i] | ||
| 5 | No digital (88, 175, 194)-net over F2 | [i] | ||