Information on Result #59008
There is no OA(372, 83, S3, 48), because the linear programming bound shows that M ≥ 342768 675411 868196 169996 964468 602867 136719 / 13 555360 > 372
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 OA(373, 84, S3, 49) | [i] | Truncation | |
| 2 | No OOA(373, 83, S3, 2, 49) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(372, 83, S3, 2, 48) | [i] | Depth Reduction | |
| 4 | No OOA(372, 83, S3, 3, 48) | [i] | ||
| 5 | No OOA(372, 83, S3, 4, 48) | [i] | ||
| 6 | No OOA(372, 83, S3, 5, 48) | [i] | ||
| 7 | No (24, 72, 83)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 8 | No linear OA(3216, 228, F3, 144) (dual of [228, 12, 145]-code) | [i] | Residual Code | |