Information on Result #599476
There is no digital (46, 186, 195)-net over F4, because extracting embedded orthogonal array would yield linear OA(4186, 195, F4, 140) (dual of [195, 9, 141]-code), but
- residual code [i] would yield linear OA(446, 54, F4, 35) (dual of [54, 8, 36]-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 (46, 187, 195)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (46, 188, 195)-net over F4 | [i] | ||
| 3 | No digital (46, 189, 195)-net over F4 | [i] | ||