Information on Result #60083

There is no OA(4107, 124, S4, 78), because the linear programming bound shows that M ≥ 49019 846676 977689 436041 401684 986717 032746 670105 891391 278865 372850 212766 220288 / 1 444154 771455 > 4107

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 OA(4108, 125, S4, 79) [i]Truncation
2No OOA(4108, 124, S4, 2, 79) [i]m-Reduction for OOAs
3No OOA(4107, 124, S4, 2, 78) [i]Depth Reduction
4No OOA(4107, 124, S4, 3, 78) [i]
5No (29, 107, 124)-net in base 4 [i]Extracting Embedded Orthogonal Array