Information on Result #58434

There is no OA(2231, 288, S2, 104), because the linear programming bound shows that M ≥ 2321 079489 842758 634889 781394 169856 121560 276403 191987 107319 707767 179739 505587 999240 880128 / 557056 853379 564615 > 2231

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(2232, 289, S2, 105) [i]Truncation
2No OOA(2232, 288, S2, 2, 105) [i]m-Reduction for OOAs
3No OOA(2231, 288, S2, 2, 104) [i]Depth Reduction
4No OOA(2231, 288, S2, 3, 104) [i]
5No OOA(2231, 288, S2, 4, 104) [i]
6No OOA(2231, 288, S2, 5, 104) [i]
7No OOA(2231, 288, S2, 6, 104) [i]
8No OOA(2231, 288, S2, 7, 104) [i]
9No OOA(2231, 288, S2, 8, 104) [i]
10No (127, 231, 288)-net in base 2 [i]Extracting Embedded Orthogonal Array