Information on Result #60107

There is no OA(4114, 137, S4, 82), because the linear programming bound shows that M ≥ 692 728720 390818 668488 612221 843470 466048 829169 339014 937299 749493 088392 196098 442443 882496 / 1 536378 889290 938693 > 4114

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(4114, 137, S4, 2, 82) [i]Depth Reduction
2No OOA(4114, 137, S4, 3, 82) [i]
3No (32, 114, 137)-net in base 4 [i]Extracting Embedded Orthogonal Array