Information on Result #546989
There is no linear OA(3226, 242, F3, 150) (dual of [242, 16, 151]-code), because residual code would yield OA(376, 91, S3, 50), but
- 1 times truncation [i] would yield OA(375, 90, S3, 49), but
- the linear programming bound shows that M ≥ 7 865942 474943 247001 112000 197553 099948 432417 / 12 714325 > 375 [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(3227, 243, F3, 151) (dual of [243, 16, 152]-code) | [i] | Truncation | |
| 2 | No linear OA(3228, 244, F3, 152) (dual of [244, 16, 153]-code) | [i] | ||
| 3 | No linear OOA(3227, 242, F3, 2, 151) (dual of [(242, 2), 257, 152]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3228, 242, F3, 2, 152) (dual of [(242, 2), 256, 153]-NRT-code) | [i] | ||
| 5 | No linear OOA(3226, 242, F3, 2, 150) (dual of [(242, 2), 258, 151]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3226, 242, F3, 3, 150) (dual of [(242, 3), 500, 151]-NRT-code) | [i] | ||
| 7 | No linear OOA(3226, 242, F3, 4, 150) (dual of [(242, 4), 742, 151]-NRT-code) | [i] | ||
| 8 | No linear OOA(3226, 242, F3, 5, 150) (dual of [(242, 5), 984, 151]-NRT-code) | [i] | ||
| 9 | No digital (76, 226, 242)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |