Information on Result #58988
There is no OA(369, 80, S3, 46), because the linear programming bound shows that M ≥ 904 357542 932493 278414 499056 136998 127663 / 977647 > 369
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(370, 81, S3, 47) | [i] | Truncation | |
| 2 | No OOA(370, 80, S3, 2, 47) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(369, 80, S3, 2, 46) | [i] | Depth Reduction | |
| 4 | No OOA(369, 80, S3, 3, 46) | [i] | ||
| 5 | No OOA(369, 80, S3, 4, 46) | [i] | ||
| 6 | No OOA(369, 80, S3, 5, 46) | [i] | ||
| 7 | No (23, 69, 80)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 8 | No linear OA(3207, 219, F3, 138) (dual of [219, 12, 139]-code) | [i] | Residual Code | |