Information on Result #546986
There is no linear OA(3223, 231, F3, 150) (dual of [231, 8, 151]-code), because residual code would yield OA(373, 80, S3, 50), but
- the linear programming bound shows that M ≥ 82 116016 341303 290731 157339 003546 276445 / 1037 > 373 [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 OOA(3223, 231, F3, 2, 150) (dual of [(231, 2), 239, 151]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3223, 231, F3, 3, 150) (dual of [(231, 3), 470, 151]-NRT-code) | [i] | ||
| 3 | No linear OOA(3223, 231, F3, 4, 150) (dual of [(231, 4), 701, 151]-NRT-code) | [i] | ||
| 4 | No linear OOA(3223, 231, F3, 5, 150) (dual of [(231, 5), 932, 151]-NRT-code) | [i] | ||
| 5 | No digital (73, 223, 231)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |