Information on Result #58436

There is no OA(2233, 296, S2, 104), because the linear programming bound shows that M ≥ 40 441027 764911 159411 999678 250893 328460 000589 698723 782371 054222 923004 931887 671319 124733 067264 / 2499 525994 551277 812375 > 2233

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(2234, 297, S2, 105) [i]Truncation
2No OOA(2234, 296, S2, 2, 105) [i]m-Reduction for OOAs
3No OOA(2233, 296, S2, 2, 104) [i]Depth Reduction
4No OOA(2233, 296, S2, 3, 104) [i]
5No OOA(2233, 296, S2, 4, 104) [i]
6No OOA(2233, 296, S2, 5, 104) [i]
7No OOA(2233, 296, S2, 6, 104) [i]
8No OOA(2233, 296, S2, 7, 104) [i]
9No OOA(2233, 296, S2, 8, 104) [i]
10No (129, 233, 296)-net in base 2 [i]Extracting Embedded Orthogonal Array
11No linear OA(2234, 332, F2, 104) (dual of [332, 98, 105]-code) [i]Construction Y1 (Bound)