Information on Result #60946

There is no OA(77, 213, S7, 4), because the linear programming bound shows that M ≥ 15829 806377 / 19127 > 77

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(78, 214, S7, 5) [i]Truncation
2No OOA(78, 213, S7, 2, 5) [i]m-Reduction for OOAs
3No OOA(77, 213, S7, 2, 4) [i]Depth Reduction
4No OOA(77, 213, S7, 3, 4) [i]
5No (3, 7, 213)-net in base 7 [i]Extracting Embedded Orthogonal Array