Information on Result #599348
There is no digital (5, 22, 27)-net over F4, because extracting embedded orthogonal array would yield linear OA(422, 27, F4, 17) (dual of [27, 5, 18]-code), but
- “Bou†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 (5, 23, 27)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (5, 24, 27)-net over F4 | [i] | ||
| 3 | No digital (5, 25, 27)-net over F4 | [i] | ||
| 4 | No digital (5, 26, 27)-net over F4 | [i] | ||