Information on Result #58049

There is no OA(267, 78, S2, 34), because the linear programming bound shows that M ≥ 144032 177727 524179 017728 / 759 > 267

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(268, 79, S2, 35) [i]Truncation
2No OOA(268, 78, S2, 2, 35) [i]m-Reduction for OOAs
3No OOA(270, 78, S2, 2, 37) [i]
4No OOA(267, 78, S2, 2, 34) [i]Depth Reduction
5No OOA(267, 78, S2, 3, 34) [i]
6No OOA(267, 78, S2, 4, 34) [i]
7No OOA(267, 78, S2, 5, 34) [i]
8No OOA(267, 78, S2, 6, 34) [i]
9No OOA(267, 78, S2, 7, 34) [i]
10No OOA(267, 78, S2, 8, 34) [i]
11No (33, 67, 78)-net in base 2 [i]Extracting Embedded Orthogonal Array