Information on Result #60386

There is no OA(537, 50, S5, 30), because the linear programming bound shows that M ≥ 1901 298674 056306 481361 389160 156250 / 18 732649 > 537

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(537, 50, S5, 2, 30) [i]Depth Reduction
2No OOA(537, 50, S5, 3, 30) [i]
3No (7, 37, 50)-net in base 5 [i]Extracting Embedded Orthogonal Array