Information on Result #58740
There is no OA(349, 85, S3, 31), because the linear programming bound shows that M ≥ 680029 495837 431892 373726 566388 206026 660443 378717 028919 971748 021750 421500 256283 / 2 775791 539437 123450 845959 961813 360302 598435 660143 224610 > 349
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(349, 85, S3, 2, 31) | [i] | Depth Reduction | |
| 2 | No OOA(349, 85, S3, 3, 31) | [i] | ||
| 3 | No OOA(349, 85, S3, 4, 31) | [i] | ||
| 4 | No OOA(349, 85, S3, 5, 31) | [i] | ||
| 5 | No (18, 49, 85)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3142, 179, F3, 93) (dual of [179, 37, 94]-code) | [i] | Residual Code | |