Information on Result #599787
There is no digital (6, 41, 66)-net over F7, because extracting embedded orthogonal array would yield linear OA(741, 66, F7, 35) (dual of [66, 25, 36]-code), but
- residual code [i] would yield OA(76, 30, S7, 5), but
- 1 times truncation [i] would yield OA(75, 29, S7, 4), but
- the linear programming bound shows that M ≥ 3 384381 / 197 > 75 [i]
- 1 times truncation [i] would yield OA(75, 29, S7, 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, 42, 66)-net over F7 | [i] | m-Reduction | |