Information on Result #599824
There is no digital (16, 104, 281)-net over F8, because extracting embedded orthogonal array would yield linear OA(8104, 281, F8, 88) (dual of [281, 177, 89]-code), but
- residual code [i] would yield OA(816, 192, S8, 11), but
- 1 times truncation [i] would yield OA(815, 191, S8, 10), but
- the linear programming bound shows that M ≥ 25 427098 382149 761175 126016 / 717528 710051 > 815 [i]
- 1 times truncation [i] would yield OA(815, 191, S8, 10), 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 (16, 105, 281)-net over F8 | [i] | m-Reduction | |