Information on Result #58842
There is no OA(357, 78, S3, 37), because the linear programming bound shows that M ≥ 4 189427 328087 433604 993587 700284 480257 / 2119 390625 > 357
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(357, 78, S3, 2, 37) | [i] | Depth Reduction | |
| 2 | No OOA(357, 78, S3, 3, 37) | [i] | ||
| 3 | No OOA(357, 78, S3, 4, 37) | [i] | ||
| 4 | No OOA(357, 78, S3, 5, 37) | [i] | ||
| 5 | No (20, 57, 78)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3168, 190, F3, 111) (dual of [190, 22, 112]-code) | [i] | Residual Code | |