Information on Result #58090

There is no OA(283, 122, S2, 38), because the linear programming bound shows that M ≥ 2 969418 532036 180477 484353 208562 221056 / 265014 591075 > 283

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(284, 123, S2, 39) [i]Truncation
2No OOA(284, 122, S2, 2, 39) [i]m-Reduction for OOAs
3No OOA(283, 122, S2, 2, 38) [i]Depth Reduction
4No OOA(283, 122, S2, 3, 38) [i]
5No OOA(283, 122, S2, 4, 38) [i]
6No OOA(283, 122, S2, 5, 38) [i]
7No OOA(283, 122, S2, 6, 38) [i]
8No OOA(283, 122, S2, 7, 38) [i]
9No OOA(283, 122, S2, 8, 38) [i]
10No (45, 83, 122)-net in base 2 [i]Extracting Embedded Orthogonal Array
11No linear OA(2159, 199, F2, 76) (dual of [199, 40, 77]-code) [i]Residual Code