Information on Result #59177

There is no OA(3100, 116, S3, 65), because the linear programming bound shows that M ≥ 23 393290 254140 746934 441613 228589 241050 120827 369170 892591 / 37 128575 > 3100

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(3100, 116, S3, 2, 65) [i]Depth Reduction
2No OOA(3100, 116, S3, 3, 65) [i]
3No OOA(3100, 116, S3, 4, 65) [i]
4No OOA(3100, 116, S3, 5, 65) [i]
5No (35, 100, 116)-net in base 3 [i]Extracting Embedded Orthogonal Array