Information on Result #548505
There is no linear OA(4224, 236, F4, 168) (dual of [236, 12, 169]-code), because residual code 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, 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(4225, 237, F4, 169) (dual of [237, 12, 170]-code) | [i] | Truncation | |
| 2 | No linear OA(4226, 238, F4, 170) (dual of [238, 12, 171]-code) | [i] | ||
| 3 | No linear OA(4227, 239, F4, 171) (dual of [239, 12, 172]-code) | [i] | ||
| 4 | No linear OOA(4225, 236, F4, 2, 169) (dual of [(236, 2), 247, 170]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4226, 236, F4, 2, 170) (dual of [(236, 2), 246, 171]-NRT-code) | [i] | ||
| 6 | No linear OOA(4227, 236, F4, 2, 171) (dual of [(236, 2), 245, 172]-NRT-code) | [i] | ||
| 7 | No linear OOA(4224, 236, F4, 2, 168) (dual of [(236, 2), 248, 169]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4224, 236, F4, 3, 168) (dual of [(236, 3), 484, 169]-NRT-code) | [i] | ||
| 9 | No digital (56, 224, 236)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |