Information on Result #59030
There is no OA(378, 100, S3, 50), because the linear programming bound shows that M ≥ 38101 440069 622014 833427 457285 684571 162543 165529 / 2181 771007 > 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 OOA(378, 100, S3, 2, 50) | [i] | Depth Reduction | |
| 2 | No OOA(378, 100, S3, 3, 50) | [i] | ||
| 3 | No OOA(378, 100, S3, 4, 50) | [i] | ||
| 4 | No OOA(378, 100, S3, 5, 50) | [i] | ||
| 5 | No (28, 78, 100)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3228, 251, F3, 150) (dual of [251, 23, 151]-code) | [i] | Residual Code | |