Information on Result #57844

There is no OA(230, 38, S2, 16), because the linear programming bound shows that M ≥ 10737 418240 / 9 > 230

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(231, 39, S2, 17) [i]Truncation
2No OOA(231, 38, S2, 2, 17) [i]m-Reduction for OOAs
3No OOA(230, 38, S2, 2, 16) [i]Depth Reduction
4No OOA(230, 38, S2, 3, 16) [i]
5No OOA(230, 38, S2, 4, 16) [i]
6No OOA(230, 38, S2, 5, 16) [i]
7No OOA(230, 38, S2, 6, 16) [i]
8No OOA(230, 38, S2, 7, 16) [i]
9No OOA(230, 38, S2, 8, 16) [i]
10No (14, 30, 38)-net in base 2 [i]Extracting Embedded Orthogonal Array
11No linear OA(210, 40, F2, 4) (dual of [40, 30, 5]-code) [i]Construction Y1 (Bound)