Information on Result #599547
There is no digital (56, 224, 236)-net over F4, because extracting embedded orthogonal array would yield linear OA(4224, 236, F4, 168) (dual of [236, 12, 169]-code), but
- residual code [i] would yield linear OA(456, 67, F4, 42) (dual of [67, 11, 43]-code), but
- “Gur†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 (56, 225, 236)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (56, 226, 236)-net over F4 | [i] | ||
| 3 | No digital (56, 227, 236)-net over F4 | [i] | ||