Information on Result #57916

There is no OA(245, 63, S2, 22), because the linear programming bound shows that M ≥ 1 828461 448712 421376 / 50787 > 245

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(246, 64, S2, 23) [i]Truncation
2No OOA(246, 63, S2, 2, 23) [i]m-Reduction for OOAs
3No OOA(245, 63, S2, 2, 22) [i]Depth Reduction
4No OOA(245, 63, S2, 3, 22) [i]
5No OOA(245, 63, S2, 4, 22) [i]
6No OOA(245, 63, S2, 5, 22) [i]
7No OOA(245, 63, S2, 6, 22) [i]
8No OOA(245, 63, S2, 7, 22) [i]
9No OOA(245, 63, S2, 8, 22) [i]
10No (23, 45, 63)-net in base 2 [i]Extracting Embedded Orthogonal Array