Information on Result #599814
There is no digital (5, 37, 68)-net over F8, because extracting embedded orthogonal array would yield linear OA(837, 68, F8, 32) (dual of [68, 31, 33]-code), but
- residual code [i] would yield OA(85, 35, S8, 4), but
- the linear programming bound shows that M ≥ 1 306624 / 39 > 85 [i]
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 (5, 38, 68)-net over F8 | [i] | m-Reduction | |
| 2 | No digital (5, 39, 68)-net over F8 | [i] | ||
| 3 | No digital (5, 40, 68)-net over F8 | [i] | ||