Information on Result #60866

There is no OA(5115, 147, S5, 88), because the linear programming bound shows that M ≥ 2106 427198 388426 824206 051416 107971 920370 889275 492662 277335 854828 334837 929304 512726 957909 762859 344482 421875 / 6 144065 730517 820384 976983 > 5115

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(5115, 147, S5, 2, 88) [i]Depth Reduction
2No OOA(5115, 147, S5, 3, 88) [i]
3No (27, 115, 147)-net in base 5 [i]Extracting Embedded Orthogonal Array
4No linear OA(5116, 252, F5, 88) (dual of [252, 136, 89]-code) [i]Construction Y1 (Bound)