Information on Result #548501
There is no linear OA(4186, 195, F4, 140) (dual of [195, 9, 141]-code), because residual code 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(4187, 196, F4, 141) (dual of [196, 9, 142]-code) | [i] | Truncation | |
| 2 | No linear OOA(4187, 195, F4, 2, 141) (dual of [(195, 2), 203, 142]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(4188, 195, F4, 2, 142) (dual of [(195, 2), 202, 143]-NRT-code) | [i] | ||
| 4 | No linear OOA(4189, 195, F4, 2, 143) (dual of [(195, 2), 201, 144]-NRT-code) | [i] | ||
| 5 | No linear OOA(4186, 195, F4, 2, 140) (dual of [(195, 2), 204, 141]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(4186, 195, F4, 3, 140) (dual of [(195, 3), 399, 141]-NRT-code) | [i] | ||
| 7 | No digital (46, 186, 195)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |