Information on Result #60671

There is no OA(570, 87, S5, 55), because the linear programming bound shows that M ≥ 12 431332 646026 761940 862004 340857 538409 181870 520114 898681 640625 / 1 218276 795384 > 570

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(570, 87, S5, 2, 55) [i]Depth Reduction
2No OOA(570, 87, S5, 3, 55) [i]
3No (15, 70, 87)-net in base 5 [i]Extracting Embedded Orthogonal Array