Information on Result #60833

There is no OA(5107, 136, S5, 82), because the linear programming bound shows that M ≥ 4 680614 732900 044285 630127 740921 339805 504137 246651 693367 478774 820966 691549 983806 908130 645751 953125 / 7377 156347 408094 956731 > 5107

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No OOA(5107, 136, S5, 2, 82) [i]Depth Reduction
2No OOA(5107, 136, S5, 3, 82) [i]
3No (25, 107, 136)-net in base 5 [i]Extracting Embedded Orthogonal Array
4No linear OA(5108, 228, F5, 82) (dual of [228, 120, 83]-code) [i]Construction Y1 (Bound)
5No linear OA(5108, 227, F5, 82) (dual of [227, 119, 83]-code) [i]