Information on Result #59036
There is no OA(377, 89, S3, 51), because the linear programming bound shows that M ≥ 234 050699 303904 924847 394964 782291 553868 957869 / 34 944520 > 377
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(379, 89, S3, 2, 53) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(377, 89, S3, 2, 51) | [i] | Depth Reduction | |
| 3 | No OOA(377, 89, S3, 3, 51) | [i] | ||
| 4 | No OOA(377, 89, S3, 4, 51) | [i] | ||
| 5 | No OOA(377, 89, S3, 5, 51) | [i] | ||
| 6 | No (26, 77, 89)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 7 | No linear OA(3230, 243, F3, 153) (dual of [243, 13, 154]-code) | [i] | Residual Code | |