Information on Result #58395

There is no OA(2220, 257, S2, 102), because the linear programming bound shows that M ≥ 1684 615690 215751 191884 135278 965912 154950 021919 764108 667065 086030 576895 988175 208448 / 809 512023 481395 > 2220

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No OA(2221, 258, S2, 103) [i]Truncation
2No OOA(2221, 257, S2, 2, 103) [i]m-Reduction for OOAs
3No OOA(2220, 257, S2, 2, 102) [i]Depth Reduction
4No OOA(2220, 257, S2, 3, 102) [i]
5No OOA(2220, 257, S2, 4, 102) [i]
6No OOA(2220, 257, S2, 5, 102) [i]
7No OOA(2220, 257, S2, 6, 102) [i]
8No OOA(2220, 257, S2, 7, 102) [i]
9No OOA(2220, 257, S2, 8, 102) [i]
10No (118, 220, 257)-net in base 2 [i]Extracting Embedded Orthogonal Array