Information on Result #60911

There is no OA(5127, 149, S5, 98), because the linear programming bound shows that M ≥ 5193 361256 119414 558729 044685 549653 156610 735015 094949 701472 602202 230455 237241 812938 009388 744831 085205 078125 / 69869 528585 224173 > 5127

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 OA(5128, 150, S5, 99) [i]Truncation
2No OOA(5128, 149, S5, 2, 99) [i]m-Reduction for OOAs
3No OOA(5127, 149, S5, 2, 98) [i]Depth Reduction
4No OOA(5127, 149, S5, 3, 98) [i]
5No (29, 127, 149)-net in base 5 [i]Extracting Embedded Orthogonal Array
6No linear OA(5128, 214, F5, 98) (dual of [214, 86, 99]-code) [i]Construction Y1 (Bound)