Information on Result #60472
There is no OA(546, 57, S5, 37), because the linear programming bound shows that M ≥ 12824 852291 259958 292357 623577 117919 921875 / 78 608816 > 546
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 OA(547, 58, S5, 38) | [i] | Truncation | |
| 2 | No OOA(547, 57, S5, 2, 38) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(546, 57, S5, 2, 37) | [i] | Depth Reduction | |
| 4 | No OOA(546, 57, S5, 3, 37) | [i] | ||
| 5 | No (9, 46, 57)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |