Information on Result #57825

There is no OA(228, 44, S2, 14), because the linear programming bound shows that M ≥ 449897 824256 / 1547 > 228

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(229, 45, S2, 15) [i]Truncation
2No OOA(229, 44, S2, 2, 15) [i]m-Reduction for OOAs
3No OOA(228, 44, S2, 2, 14) [i]Depth Reduction
4No OOA(228, 44, S2, 3, 14) [i]
5No OOA(228, 44, S2, 4, 14) [i]
6No OOA(228, 44, S2, 5, 14) [i]
7No OOA(228, 44, S2, 6, 14) [i]
8No OOA(228, 44, S2, 7, 14) [i]
9No OOA(228, 44, S2, 8, 14) [i]
10No (14, 28, 44)-net in base 2 [i]Extracting Embedded Orthogonal Array