Information on Result #60663

There is no OA(568, 80, S5, 54), because the linear programming bound shows that M ≥ 1360 149624 833194 466344 554740 544481 319375 336170 196533 203125 / 3265 361781 > 568

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(568, 80, S5, 2, 54) [i]Depth Reduction
2No OOA(568, 80, S5, 3, 54) [i]
3No (14, 68, 80)-net in base 5 [i]Extracting Embedded Orthogonal Array