Information on Result #60114

There is no OA(4115, 136, S4, 83), because the linear programming bound shows that M ≥ 3 852173 251108 596842 384779 441761 266970 500973 282081 261933 174545 595282 974135 341159 546880 / 2018 969268 695379 > 4115

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(4115, 136, S4, 2, 83) [i]Depth Reduction
2No OOA(4115, 136, S4, 3, 83) [i]
3No (32, 115, 136)-net in base 4 [i]Extracting Embedded Orthogonal Array