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:

ResultThis
result
only
Method
1No OA(238, 59, S2, 19) [i]Truncation
2No OOA(238, 58, S2, 2, 19) [i]m-Reduction for OOAs
3No OOA(237, 58, S2, 2, 18) [i]Depth Reduction
4No OOA(237, 58, S2, 3, 18) [i]
5No OOA(237, 58, S2, 4, 18) [i]
6No OOA(237, 58, S2, 5, 18) [i]
7No OOA(237, 58, S2, 6, 18) [i]
8No OOA(237, 58, S2, 7, 18) [i]
9No OOA(237, 58, S2, 8, 18) [i]
10No (19, 37, 58)-net in base 2 [i]Extracting Embedded Orthogonal Array