Information on Result #59047
There is no OA(378, 89, S3, 52), because the linear programming bound shows that M ≥ 298 630446 198644 459587 118144 486403 305957 001183 / 16 135903 > 378
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(379, 90, S3, 53) | [i] | Truncation | |
| 2 | No OOA(378, 89, S3, 2, 52) | [i] | Depth Reduction | |
| 3 | No OOA(378, 89, S3, 3, 52) | [i] | ||
| 4 | No OOA(378, 89, S3, 4, 52) | [i] | ||
| 5 | No OOA(378, 89, S3, 5, 52) | [i] | ||
| 6 | No linear OA(3234, 246, F3, 156) (dual of [246, 12, 157]-code) | [i] | Residual Code | |