Information on Result #60423

There is no OA(542, 75, S5, 33), because the linear programming bound shows that M ≥ 11 286125 110685 811566 010497 641086 066464 923086 926177 120403 735898 435115 814208 984375 / 48 151576 520629 405287 947768 575959 673496 311856 302903 > 542

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(542, 75, S5, 2, 33) [i]Depth Reduction
2No OOA(542, 75, S5, 3, 33) [i]
3No (9, 42, 75)-net in base 5 [i]Extracting Embedded Orthogonal Array