Information on Result #60885

There is no OA(5120, 149, S5, 92), because the linear programming bound shows that M ≥ 1875 115433 709844 937609 244603 657370 223629 726878 856922 329955 321895 357533 978909 714278 415776 789188 385009 765625 / 2299 458852 249280 370649 > 5120

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(5120, 149, S5, 2, 92) [i]Depth Reduction
2No OOA(5120, 149, S5, 3, 92) [i]
3No (28, 120, 149)-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(5121, 238, F5, 92) (dual of [238, 117, 93]-code) [i]