Information on Result #58017

There is no OA(259, 70, S2, 30), because the linear programming bound shows that M ≥ 23 634890 844440 363008 / 35 > 259

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(260, 71, S2, 31) [i]Truncation
2No OOA(260, 70, S2, 2, 31) [i]m-Reduction for OOAs
3No OOA(262, 70, S2, 2, 33) [i]
4No OOA(259, 70, S2, 2, 30) [i]Depth Reduction
5No OOA(259, 70, S2, 3, 30) [i]
6No OOA(259, 70, S2, 4, 30) [i]
7No OOA(259, 70, S2, 5, 30) [i]
8No OOA(259, 70, S2, 6, 30) [i]
9No OOA(259, 70, S2, 7, 30) [i]
10No OOA(259, 70, S2, 8, 30) [i]
11No (29, 59, 70)-net in base 2 [i]Extracting Embedded Orthogonal Array