Information on Result #59059
There is no OA(382, 101, S3, 53), because the linear programming bound shows that M ≥ 10993 355000 871367 562211 653536 372020 125189 985096 / 6 532165 > 382
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(382, 101, S3, 2, 53) | [i] | Depth Reduction | |
| 2 | No OOA(382, 101, S3, 3, 53) | [i] | ||
| 3 | No OOA(382, 101, S3, 4, 53) | [i] | ||
| 4 | No OOA(382, 101, S3, 5, 53) | [i] | ||
| 5 | No (29, 82, 101)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3241, 261, F3, 159) (dual of [261, 20, 160]-code) | [i] | Residual Code | |