Information on Result #58070

There is no OA(275, 96, S2, 36), because the linear programming bound shows that M ≥ 22708 462595 641194 417680 809984 / 528333 > 275

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(276, 97, S2, 37) [i]Truncation
2No OOA(276, 96, S2, 2, 37) [i]m-Reduction for OOAs
3No OOA(275, 96, S2, 2, 36) [i]Depth Reduction
4No OOA(275, 96, S2, 3, 36) [i]
5No OOA(275, 96, S2, 4, 36) [i]
6No OOA(275, 96, S2, 5, 36) [i]
7No OOA(275, 96, S2, 6, 36) [i]
8No OOA(275, 96, S2, 7, 36) [i]
9No OOA(275, 96, S2, 8, 36) [i]
10No (39, 75, 96)-net in base 2 [i]Extracting Embedded Orthogonal Array
11No linear OA(2147, 169, F2, 72) (dual of [169, 22, 73]-code) [i]Residual Code