Information on Result #58426

There is no OA(2223, 259, S2, 104), because the linear programming bound shows that M ≥ 7 781600 075113 312775 337502 159004 327439 936028 728612 302400 844627 501716 281730 531328 / 421052 504375 > 2223

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(2224, 260, S2, 105) [i]Truncation
2No OOA(2224, 259, S2, 2, 105) [i]m-Reduction for OOAs
3No OOA(2223, 259, S2, 2, 104) [i]Depth Reduction
4No OOA(2223, 259, S2, 3, 104) [i]
5No OOA(2223, 259, S2, 4, 104) [i]
6No OOA(2223, 259, S2, 5, 104) [i]
7No OOA(2223, 259, S2, 6, 104) [i]
8No OOA(2223, 259, S2, 7, 104) [i]
9No OOA(2223, 259, S2, 8, 104) [i]
10No (119, 223, 259)-net in base 2 [i]Extracting Embedded Orthogonal Array