Information on Result #59347
There is no OA(3133, 150, S3, 86), because the linear programming bound shows that M ≥ 10206 967808 467913 747808 389212 583004 511164 705253 854573 732746 285224 754829 / 2 832691 > 3133
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(3135, 150, S3, 2, 88) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(3133, 150, S3, 2, 86) | [i] | Depth Reduction | |
| 3 | No OOA(3133, 150, S3, 3, 86) | [i] | ||
| 4 | No OOA(3133, 150, S3, 4, 86) | [i] | ||
| 5 | No OOA(3133, 150, S3, 5, 86) | [i] | ||
| 6 | No (47, 133, 150)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 7 | No linear OA(3134, 166, F3, 86) (dual of [166, 32, 87]-code) | [i] | Construction Y1 (Bound) | |