Information on Result #599818
There is no digital (6, 46, 77)-net over F8, because extracting embedded orthogonal array would yield linear OA(846, 77, F8, 40) (dual of [77, 31, 41]-code), but
- residual code [i] would yield OA(86, 36, S8, 5), but
- 1 times truncation [i] would yield OA(85, 35, S8, 4), but
- the linear programming bound shows that M ≥ 1 306624 / 39 > 85 [i]
- 1 times truncation [i] would yield OA(85, 35, S8, 4), 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 (6, 47, 77)-net over F8 | [i] | m-Reduction | |