Information on Result #59058
There is no OA(381, 96, S3, 53), because the linear programming bound shows that M ≥ 35667 308007 855330 590206 634210 852728 315487 161419 / 70 241195 > 381
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(382, 97, S3, 54) | [i] | Truncation | |
| 2 | No OOA(382, 96, S3, 2, 54) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(381, 96, S3, 2, 53) | [i] | Depth Reduction | |
| 4 | No OOA(381, 96, S3, 3, 53) | [i] | ||
| 5 | No OOA(381, 96, S3, 4, 53) | [i] | ||
| 6 | No OOA(381, 96, S3, 5, 53) | [i] | ||
| 7 | No (28, 81, 96)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 8 | No linear OA(3240, 256, F3, 159) (dual of [256, 16, 160]-code) | [i] | Residual Code | |