Information on Result #57991

There is no OA(256, 70, S2, 28), because the linear programming bound shows that M ≥ 313 594649 253062 377472 / 3933 > 256

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(257, 71, S2, 29) [i]Truncation
2No OOA(257, 70, S2, 2, 29) [i]m-Reduction for OOAs
3No OOA(256, 70, S2, 2, 28) [i]Depth Reduction
4No OOA(256, 70, S2, 3, 28) [i]
5No OOA(256, 70, S2, 4, 28) [i]
6No OOA(256, 70, S2, 5, 28) [i]
7No OOA(256, 70, S2, 6, 28) [i]
8No OOA(256, 70, S2, 7, 28) [i]
9No OOA(256, 70, S2, 8, 28) [i]
10No (28, 56, 70)-net in base 2 [i]Extracting Embedded Orthogonal Array