Information on Result #58690

There is no OA(343, 68, S3, 28), because the linear programming bound shows that M ≥ 15 309075 649282 585984 320219 610288 301331 / 40873 610548 490720 > 343

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(343, 68, S3, 2, 28) [i]Depth Reduction
2No OOA(343, 68, S3, 3, 28) [i]
3No OOA(343, 68, S3, 4, 28) [i]
4No OOA(343, 68, S3, 5, 28) [i]
5No (15, 43, 68)-net in base 3 [i]Extracting Embedded Orthogonal Array