Information on Result #546717
There is no linear OA(3169, 200, F3, 111) (dual of [200, 31, 112]-code), because residual code would yield OA(358, 88, S3, 37), but
- the linear programming bound shows that M ≥ 161 188690 179521 564774 743221 611934 175250 646363 / 29813 529247 923155 > 358 [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(3170, 201, F3, 112) (dual of [201, 31, 113]-code) | [i] | Truncation | |
| 2 | No linear OA(3171, 202, F3, 113) (dual of [202, 31, 114]-code) | [i] | ||
| 3 | No linear OOA(3170, 200, F3, 2, 112) (dual of [(200, 2), 230, 113]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3171, 200, F3, 2, 113) (dual of [(200, 2), 229, 114]-NRT-code) | [i] | ||
| 5 | No linear OOA(3169, 200, F3, 2, 111) (dual of [(200, 2), 231, 112]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3169, 200, F3, 3, 111) (dual of [(200, 3), 431, 112]-NRT-code) | [i] | ||
| 7 | No linear OOA(3169, 200, F3, 4, 111) (dual of [(200, 4), 631, 112]-NRT-code) | [i] | ||
| 8 | No linear OOA(3169, 200, F3, 5, 111) (dual of [(200, 5), 831, 112]-NRT-code) | [i] | ||
| 9 | No digital (58, 169, 200)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |