Information on Result #58081

There is no OA(274, 84, S2, 38), because the linear programming bound shows that M ≥ 604462 909807 314587 353088 / 25 > 274

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(275, 85, S2, 39) [i]Truncation
2No OOA(275, 84, S2, 2, 39) [i]m-Reduction for OOAs
3No OOA(276, 84, S2, 2, 40) [i]
4No OOA(277, 84, S2, 2, 41) [i]
5No OOA(274, 84, S2, 2, 38) [i]Depth Reduction
6No OOA(274, 84, S2, 3, 38) [i]
7No OOA(274, 84, S2, 4, 38) [i]
8No OOA(274, 84, S2, 5, 38) [i]
9No OOA(274, 84, S2, 6, 38) [i]
10No OOA(274, 84, S2, 7, 38) [i]
11No OOA(274, 84, S2, 8, 38) [i]
12No (36, 74, 84)-net in base 2 [i]Extracting Embedded Orthogonal Array
13No linear OA(2150, 161, F2, 76) (dual of [161, 11, 77]-code) [i]Residual Code