Information on Result #60752

There is no OA(589, 128, S5, 68), because the linear programming bound shows that M ≥ 469 692866 807591 375427 341890 531758 805523 348308 690396 565238 771298 123054 975803 825072 944164 276123 046875 / 2 848778 646702 863039 588267 347915 991007 > 589

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(589, 128, S5, 2, 68) [i]Depth Reduction
2No OOA(589, 128, S5, 3, 68) [i]
3No (21, 89, 128)-net in base 5 [i]Extracting Embedded Orthogonal Array