Information on Result #57869
There is no OA(237, 58, S2, 18), because the linear programming bound shows that M ≥ 1 287022 890532 732928 / 8 436285 > 237
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(238, 59, S2, 19) | [i] | Truncation | |
2 | No OOA(238, 58, S2, 2, 19) | [i] | m-Reduction for OOAs | |
3 | No OOA(237, 58, S2, 2, 18) | [i] | Depth Reduction | |
4 | No OOA(237, 58, S2, 3, 18) | [i] | ||
5 | No OOA(237, 58, S2, 4, 18) | [i] | ||
6 | No OOA(237, 58, S2, 5, 18) | [i] | ||
7 | No OOA(237, 58, S2, 6, 18) | [i] | ||
8 | No OOA(237, 58, S2, 7, 18) | [i] | ||
9 | No OOA(237, 58, S2, 8, 18) | [i] | ||
10 | No (19, 37, 58)-net in base 2 | [i] | Extracting Embedded Orthogonal Array |