Information on Result #59595

There is no OA(439, 48, S4, 30), because the linear programming bound shows that M ≥ 158456 325028 528675 187087 900672 / 329189 > 439

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 OOA(439, 48, S4, 2, 30) [i]Depth Reduction
2No OOA(439, 48, S4, 3, 30) [i]
3No (9, 39, 48)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4159, 169, F4, 120) (dual of [169, 10, 121]-code) [i]Residual Code