Information on Result #58969
There is no OA(368, 89, S3, 44), because the linear programming bound shows that M ≥ 382869 271658 659016 501421 251365 993917 662001 / 1091 802985 > 368
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(368, 89, S3, 2, 44) | [i] | Depth Reduction | |
| 2 | No OOA(368, 89, S3, 3, 44) | [i] | ||
| 3 | No OOA(368, 89, S3, 4, 44) | [i] | ||
| 4 | No OOA(368, 89, S3, 5, 44) | [i] | ||
| 5 | No (24, 68, 89)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3200, 222, F3, 132) (dual of [222, 22, 133]-code) | [i] | Residual Code | |