Information on Result #60149

There is no OA(4124, 148, S4, 89), because the linear programming bound shows that M ≥ 8665 917257 296778 952342 423789 447146 428779 676886 749927 658316 397291 649757 237344 216595 862069 968896 / 15 234037 624603 222425 > 4124

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(4124, 148, S4, 2, 89) [i]Depth Reduction
2No OOA(4124, 148, S4, 3, 89) [i]
3No (35, 124, 148)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4125, 191, F4, 89) (dual of [191, 66, 90]-code) [i]Construction Y1 (Bound)