Information on Result #58916
There is no OA(361, 72, S3, 41), because the linear programming bound shows that M ≥ 41997 386805 997720 199850 152210 995911 / 228095 > 361
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(361, 72, S3, 2, 41) | [i] | Depth Reduction | |
| 2 | No OOA(361, 72, S3, 3, 41) | [i] | ||
| 3 | No OOA(361, 72, S3, 4, 41) | [i] | ||
| 4 | No OOA(361, 72, S3, 5, 41) | [i] | ||
| 5 | No (20, 61, 72)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3184, 196, F3, 123) (dual of [196, 12, 124]-code) | [i] | Residual Code | |