Information on Result #599821
There is no digital (13, 85, 236)-net over F8, because extracting embedded orthogonal array would yield linear OA(885, 236, F8, 72) (dual of [236, 151, 73]-code), but
- residual code [i] would yield OA(813, 163, S8, 9), but
- 1 times truncation [i] would yield OA(812, 162, S8, 8), but
- the linear programming bound shows that M ≥ 12 319920 743776 256000 / 177 696713 > 812 [i]
- 1 times truncation [i] would yield OA(812, 162, S8, 8), 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 (13, 86, 236)-net over F8 | [i] | m-Reduction | |