Information on Result #57918

There is no OA(247, 78, S2, 22), because the linear programming bound shows that M ≥ 61 897473 278580 097024 / 396865 > 247

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(248, 79, S2, 23) [i]Truncation
2No OOA(248, 78, S2, 2, 23) [i]m-Reduction for OOAs
3No OOA(247, 78, S2, 2, 22) [i]Depth Reduction
4No OOA(247, 78, S2, 3, 22) [i]
5No OOA(247, 78, S2, 4, 22) [i]
6No OOA(247, 78, S2, 5, 22) [i]
7No OOA(247, 78, S2, 6, 22) [i]
8No OOA(247, 78, S2, 7, 22) [i]
9No OOA(247, 78, S2, 8, 22) [i]
10No (25, 47, 78)-net in base 2 [i]Extracting Embedded Orthogonal Array