Information on Result #60422

There is no OA(541, 54, S5, 33), because the linear programming bound shows that M ≥ 12 820265 737900 626845 657825 469970 703125 / 255 238153 > 541

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(541, 54, S5, 2, 33) [i]Depth Reduction
2No OOA(541, 54, S5, 3, 33) [i]
3No (8, 41, 54)-net in base 5 [i]Extracting Embedded Orthogonal Array