Information on Result #60499

There is no OA(550, 86, S5, 39), because the linear programming bound shows that M ≥ 6 266234 124941 870690 134946 783936 446664 428528 529700 024307 658168 254420 161247 253417 968750 / 66 533121 872640 841604 791025 731269 659825 374684 195761 > 550

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(550, 86, S5, 2, 39) [i]Depth Reduction
2No OOA(550, 86, S5, 3, 39) [i]
3No (11, 50, 86)-net in base 5 [i]Extracting Embedded Orthogonal Array