Information on Result #59208

There is no OA(3105, 122, S3, 68), because the linear programming bound shows that M ≥ 41138 964191 045188 574191 437825 357748 296404 110765 403562 571641 / 318 455033 > 3105

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No OOA(3105, 122, S3, 2, 68) [i]Depth Reduction
2No OOA(3105, 122, S3, 3, 68) [i]
3No OOA(3105, 122, S3, 4, 68) [i]
4No OOA(3105, 122, S3, 5, 68) [i]
5No (37, 105, 122)-net in base 3 [i]Extracting Embedded Orthogonal Array