Information on Result #60605

There is no OA(561, 103, S5, 47), because the linear programming bound shows that M ≥ 4181 564648 455170 129201 793753 034978 682708 608421 726359 414523 092254 516167 809441 640201 839618 384838 104248 046875 / 918 660028 038993 797791 684674 926208 163709 559531 824032 778011 594611 > 561

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(561, 103, S5, 2, 47) [i]Depth Reduction
2No OOA(561, 103, S5, 3, 47) [i]
3No (14, 61, 103)-net in base 5 [i]Extracting Embedded Orthogonal Array