Information on Result #546933
There is no linear OA(3218, 237, F3, 144) (dual of [237, 19, 145]-code), because residual code would yield OA(374, 92, S3, 48), but
- the linear programming bound shows that M ≥ 3 583772 877980 231256 721753 514663 969433 633846 / 17 172295 > 374 [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(3219, 238, F3, 145) (dual of [238, 19, 146]-code) | [i] | Truncation | |
| 2 | No linear OA(3220, 239, F3, 146) (dual of [239, 19, 147]-code) | [i] | ||
| 3 | No linear OOA(3219, 237, F3, 2, 145) (dual of [(237, 2), 255, 146]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3220, 237, F3, 2, 146) (dual of [(237, 2), 254, 147]-NRT-code) | [i] | ||
| 5 | No linear OOA(3218, 237, F3, 2, 144) (dual of [(237, 2), 256, 145]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3218, 237, F3, 3, 144) (dual of [(237, 3), 493, 145]-NRT-code) | [i] | ||
| 7 | No linear OOA(3218, 237, F3, 4, 144) (dual of [(237, 4), 730, 145]-NRT-code) | [i] | ||
| 8 | No linear OOA(3218, 237, F3, 5, 144) (dual of [(237, 5), 967, 145]-NRT-code) | [i] | ||
| 9 | No digital (74, 218, 237)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |