Information on Result #599361
There is no digital (9, 33, 64)-net over F4, because extracting embedded orthogonal array would yield linear OA(433, 64, F4, 24) (dual of [64, 31, 25]-code), but
- residual code [i] would yield OA(49, 39, S4, 6), but
- the linear programming bound shows that M ≥ 504 832000 / 1843 > 49 [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 (9, 34, 64)-net over F4 | [i] | m-Reduction | |