Information on Result #59073
There is no OA(387, 128, S3, 54), because the linear programming bound shows that M ≥ 15 952594 360793 907733 534555 089919 080786 131778 937341 232963 389196 637855 190777 / 46 108516 281082 645734 227925 699658 > 387
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(387, 128, S3, 2, 54) | [i] | Depth Reduction | |
| 2 | No OOA(387, 128, S3, 3, 54) | [i] | ||
| 3 | No OOA(387, 128, S3, 4, 54) | [i] | ||
| 4 | No OOA(387, 128, S3, 5, 54) | [i] | ||
| 5 | No (33, 87, 128)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3249, 291, F3, 162) (dual of [291, 42, 163]-code) | [i] | Residual Code | |