Information on Result #57889

There is no OA(238, 47, S2, 20), because the linear programming bound shows that M ≥ 140 737488 355328 / 385 > 238

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(239, 48, S2, 21) [i]Truncation
2No OOA(239, 47, S2, 2, 21) [i]m-Reduction for OOAs
3No OOA(238, 47, S2, 2, 20) [i]Depth Reduction
4No OOA(238, 47, S2, 3, 20) [i]
5No OOA(238, 47, S2, 4, 20) [i]
6No OOA(238, 47, S2, 5, 20) [i]
7No OOA(238, 47, S2, 6, 20) [i]
8No OOA(238, 47, S2, 7, 20) [i]
9No OOA(238, 47, S2, 8, 20) [i]
10No (18, 38, 47)-net in base 2 [i]Extracting Embedded Orthogonal Array