Information on Result #58787
There is no OA(354, 91, S3, 34), because the linear programming bound shows that M ≥ 474 977782 539634 784051 796341 060967 928894 025210 202817 107183 513784 170892 978866 150753 / 7 995136 378245 997436 849186 466159 148790 740510 898632 999345 > 354
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(354, 91, S3, 2, 34) | [i] | Depth Reduction | |
| 2 | No OOA(354, 91, S3, 3, 34) | [i] | ||
| 3 | No OOA(354, 91, S3, 4, 34) | [i] | ||
| 4 | No OOA(354, 91, S3, 5, 34) | [i] | ||
| 5 | No (20, 54, 91)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3156, 194, F3, 102) (dual of [194, 38, 103]-code) | [i] | Residual Code | |