Information on Result #60740

There is no OA(586, 120, S5, 66), because the linear programming bound shows that M ≥ 3 659188 660547 740119 702804 058000 671653 918454 140852 627750 994663 369255 022189 463488 757610 321044 921875 / 2 764137 695491 693048 028523 660647 380371 > 586

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(586, 120, S5, 2, 66) [i]Depth Reduction
2No OOA(586, 120, S5, 3, 66) [i]
3No (20, 86, 120)-net in base 5 [i]Extracting Embedded Orthogonal Array