Information on Result #60402

There is no OA(542, 120, S5, 31), because the linear programming bound shows that M ≥ 662672 307412 129870 469164 413977 180562 845393 992366 734892 129898 071289 062500 / 2 653474 185364 441465 462240 730332 148784 303407 > 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, 120, S5, 2, 31) [i]Depth Reduction
2No OOA(542, 120, S5, 3, 31) [i]
3No (11, 42, 120)-net in base 5 [i]Extracting Embedded Orthogonal Array