Information on Result #547146
There is no linear OA(4148, 153, F4, 112) (dual of [153, 5, 113]-code), because residual code would yield linear OA(436, 40, F4, 28) (dual of [40, 4, 29]-code), but
- residual code [i] would yield linear OA(48, 11, F4, 7) (dual of [11, 3, 8]-code), but
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(4149, 154, F4, 113) (dual of [154, 5, 114]-code) | [i] | Truncation | |
| 2 | No linear OA(4150, 155, F4, 114) (dual of [155, 5, 115]-code) | [i] | ||
| 3 | No linear OA(4151, 156, F4, 115) (dual of [156, 5, 116]-code) | [i] | ||
| 4 | No linear OA(46, 154, F4, 3) (dual of [154, 148, 4]-code or 154-cap in PG(5,4)) | [i] | Construction Y1 (Bound) | |
| 5 | No linear OA(4149, 157, F4, 112) (dual of [157, 8, 113]-code) | [i] | ||