Information on Result #546619
There is no linear OA(3133, 219, F3, 84) (dual of [219, 86, 85]-code), because residual code would yield OA(349, 134, S3, 28), but
- the linear programming bound shows that M ≥ 430073 037911 139946 191996 083081 250824 628251 158946 484375 / 1 673823 880993 304164 747289 137687 > 349 [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(3134, 220, F3, 85) (dual of [220, 86, 86]-code) | [i] | Truncation | |
| 2 | No linear OOA(3134, 219, F3, 2, 85) (dual of [(219, 2), 304, 86]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(3133, 219, F3, 2, 84) (dual of [(219, 2), 305, 85]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(3133, 219, F3, 3, 84) (dual of [(219, 3), 524, 85]-NRT-code) | [i] | ||
| 5 | No linear OOA(3133, 219, F3, 4, 84) (dual of [(219, 4), 743, 85]-NRT-code) | [i] | ||
| 6 | No linear OOA(3133, 219, F3, 5, 84) (dual of [(219, 5), 962, 85]-NRT-code) | [i] | ||
| 7 | No digital (49, 133, 219)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |