Information on Result #598931
There is no digital (7, 22, 28)-net over F3, because extracting embedded orthogonal array would yield linear OA(322, 28, F3, 15) (dual of [28, 6, 16]-code), but
- “HHM†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 (7, 23, 28)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (7, 24, 28)-net over F3 | [i] | ||
| 3 | No digital (7, 25, 28)-net over F3 | [i] | ||
| 4 | No digital (7, 26, 28)-net over F3 | [i] | ||
| 5 | No digital (7, 27, 28)-net over F3 | [i] | ||