Information on Result #60389

There is no OA(540, 107, S5, 30), because the linear programming bound shows that M ≥ 2 444583 551382 201850 781520 395853 708391 699789 897762 821055 948734 283447 265625 / 251 181963 463860 852519 484964 340757 927650 764452 > 540

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(540, 107, S5, 2, 30) [i]Depth Reduction
2No OOA(540, 107, S5, 3, 30) [i]
3No (10, 40, 107)-net in base 5 [i]Extracting Embedded Orthogonal Array