Information on Result #58878
There is no OA(358, 69, S3, 39), because the linear programming bound shows that M ≥ 33 192276 929494 287351 692541 196383 / 4982 > 358
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(358, 69, S3, 2, 39) | [i] | Depth Reduction | |
| 2 | No OOA(358, 69, S3, 3, 39) | [i] | ||
| 3 | No OOA(358, 69, S3, 4, 39) | [i] | ||
| 4 | No OOA(358, 69, S3, 5, 39) | [i] | ||
| 5 | No (19, 58, 69)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3175, 187, F3, 117) (dual of [187, 12, 118]-code) | [i] | Residual Code | |