Information on Result #60855

There is no OA(5112, 139, S5, 86), because the linear programming bound shows that M ≥ 2 082589 264522 932824 279618 514424 429978 311367 037622 562595 373942 873067 107939 277775 585651 397705 078125 / 1 034045 105594 725224 > 5112

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(5112, 139, S5, 2, 86) [i]Depth Reduction
2No OOA(5112, 139, S5, 3, 86) [i]
3No (26, 112, 139)-net in base 5 [i]Extracting Embedded Orthogonal Array
4No linear OA(5113, 222, F5, 86) (dual of [222, 109, 87]-code) [i]Construction Y1 (Bound)