Information on Result #59192
There is no OA(3106, 143, S3, 66), because the linear programming bound shows that M ≥ 50584 630946 042848 451389 778465 029449 231952 748470 489372 922254 899547 818597 / 106 273880 037977 292025 > 3106
Mode: Bound.
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 OOA(3106, 143, S3, 2, 66) | [i] | Depth Reduction | |
| 2 | No OOA(3106, 143, S3, 3, 66) | [i] | ||
| 3 | No OOA(3106, 143, S3, 4, 66) | [i] | ||
| 4 | No OOA(3106, 143, S3, 5, 66) | [i] | ||
| 5 | No (40, 106, 143)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3107, 199, F3, 66) (dual of [199, 92, 67]-code) | [i] | Construction Y1 (Bound) | |