Information on Result #599783
There is no digital (5, 33, 58)-net over F7, because extracting embedded orthogonal array would yield linear OA(733, 58, F7, 28) (dual of [58, 25, 29]-code), but
- residual code [i] would yield OA(75, 29, S7, 4), but
- the linear programming bound shows that M ≥ 3 384381 / 197 > 75 [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, 34, 58)-net over F7 | [i] | m-Reduction | |