Information on Result #58680
There is no OA(342, 72, S3, 27), because the linear programming bound shows that M ≥ 459 570515 671288 975520 197273 080900 198455 977122 916419 085479 / 4 115300 885402 156269 619771 733358 710080 > 342
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(342, 72, S3, 2, 27) | [i] | Depth Reduction | |
| 2 | No OOA(342, 72, S3, 3, 27) | [i] | ||
| 3 | No OOA(342, 72, S3, 4, 27) | [i] | ||
| 4 | No OOA(342, 72, S3, 5, 27) | [i] | ||
| 5 | No (15, 42, 72)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |