Information on Result #58051

There is no OA(269, 85, S2, 34), because the linear programming bound shows that M ≥ 302231 454903 657293 676544 / 429 > 269

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(270, 86, S2, 35) [i]Truncation
2No OOA(270, 85, S2, 2, 35) [i]m-Reduction for OOAs
3No OOA(269, 85, S2, 2, 34) [i]Depth Reduction
4No OOA(269, 85, S2, 3, 34) [i]
5No OOA(269, 85, S2, 4, 34) [i]
6No OOA(269, 85, S2, 5, 34) [i]
7No OOA(269, 85, S2, 6, 34) [i]
8No OOA(269, 85, S2, 7, 34) [i]
9No OOA(269, 85, S2, 8, 34) [i]
10No (35, 69, 85)-net in base 2 [i]Extracting Embedded Orthogonal Array
11No linear OA(2137, 154, F2, 68) (dual of [154, 17, 69]-code) [i]Residual Code