Information on Result #62388

There is no OA(9119, 137, S9, 104), because the linear programming bound shows that M ≥ 1 649743 959172 993378 210906 967412 042627 075594 345401 873516 549288 005769 316925 057707 239007 022709 124331 368314 618099 062045 429872 721572 150117 / 4 003686 893566 937500 > 9119

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(9120, 138, S9, 105) [i]Truncation
2No OOA(9120, 137, S9, 2, 105) [i]m-Reduction for OOAs
3No OOA(9119, 137, S9, 2, 104) [i]Depth Reduction
4No OOA(9119, 137, S9, 3, 104) [i]
5No (15, 119, 137)-net in base 9 [i]Extracting Embedded Orthogonal Array
6No linear OA(9120, 254, F9, 104) (dual of [254, 134, 105]-code) [i]Construction Y1 (Bound)