Information on Result #58154

There is no OA(296, 118, S2, 46), because the linear programming bound shows that M ≥ 3649 328393 569529 653896 227896 426496 / 35409 > 296

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(297, 119, S2, 47) [i]Truncation
2No OOA(297, 118, S2, 2, 47) [i]m-Reduction for OOAs
3No OOA(296, 118, S2, 2, 46) [i]Depth Reduction
4No OOA(296, 118, S2, 3, 46) [i]
5No OOA(296, 118, S2, 4, 46) [i]
6No OOA(296, 118, S2, 5, 46) [i]
7No OOA(296, 118, S2, 6, 46) [i]
8No OOA(296, 118, S2, 7, 46) [i]
9No OOA(296, 118, S2, 8, 46) [i]
10No (50, 96, 118)-net in base 2 [i]Extracting Embedded Orthogonal Array
11No linear OA(2188, 211, F2, 92) (dual of [211, 23, 93]-code) [i]Residual Code