Information on Result #61873

There is no OA(8101, 146, S8, 86), because the linear programming bound shows that M ≥ 47452 756982 762840 644180 785646 906838 805374 098587 752364 011747 551574 239635 502216 492748 447610 784265 998302 557863 887131 929643 838881 370395 949171 355783 528448 / 2798 356661 117080 828757 255676 140575 034437 993397 485091 746485 > 8101

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(8101, 146, S8, 2, 86) [i]Depth Reduction
2No OOA(8101, 146, S8, 3, 86) [i]
3No (15, 101, 146)-net in base 8 [i]Extracting Embedded Orthogonal Array
4No linear OA(8129, 230, F8, 110) (dual of [230, 101, 111]-code) [i]Construction Y1 (Bound)