Information on Result #59338
There is no OA(3130, 147, S3, 84), because the linear programming bound shows that M ≥ 610951 874237 245179 799757 396293 504258 972145 948730 720728 290459 967541 402306 / 4917 657235 > 3130
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(3132, 147, S3, 2, 86) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(3130, 147, S3, 2, 84) | [i] | Depth Reduction | |
| 3 | No OOA(3130, 147, S3, 3, 84) | [i] | ||
| 4 | No OOA(3130, 147, S3, 4, 84) | [i] | ||
| 5 | No OOA(3130, 147, S3, 5, 84) | [i] | ||
| 6 | No (46, 130, 147)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 7 | No linear OA(3131, 163, F3, 84) (dual of [163, 32, 85]-code) | [i] | Construction Y1 (Bound) | |