Information on Result #60664

There is no OA(569, 89, S5, 54), because the linear programming bound shows that M ≥ 161 188123 123059 113780 443374 341899 698265 478946 268558 502197 265625 / 80 086319 971801 > 569

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(569, 89, S5, 2, 54) [i]Depth Reduction
2No OOA(569, 89, S5, 3, 54) [i]
3No (15, 69, 89)-net in base 5 [i]Extracting Embedded Orthogonal Array