Information on Result #599711
There is no digital (5, 25, 34)-net over F5, because extracting embedded orthogonal array would yield linear OA(525, 34, F5, 20) (dual of [34, 9, 21]-code), but
- residual code [i] would yield linear OA(55, 13, F5, 4) (dual of [13, 8, 5]-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, 26, 34)-net over F5 | [i] | m-Reduction | |
| 2 | No digital (5, 27, 34)-net over F5 | [i] | ||
| 3 | No digital (5, 28, 34)-net over F5 | [i] | ||