Information on Result #598914
There is no digital (3, 9, 16)-net over F3, because extracting embedded orthogonal array would yield linear OA(39, 16, F3, 6) (dual of [16, 7, 7]-code), but
- “vE2†bound on codes from Brouwer’s database [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 (3, 10, 16)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (3, 11, 16)-net over F3 | [i] | ||