Information on Result #599895
There is no digital (21, 147, 438)-net over F9, because extracting embedded orthogonal array would yield linear OA(9147, 438, F9, 126) (dual of [438, 291, 127]-code), but
- residual code [i] would yield OA(921, 311, S9, 14), but
- the Rao or (dual) Hamming bound shows that M ≥ 109 707795 121304 339193 > 921 [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 (21, 148, 438)-net over F9 | [i] | m-Reduction | |
| 2 | No digital (21, 149, 438)-net over F9 | [i] | ||
| 3 | No digital (21, 150, 438)-net over F9 | [i] | ||