Information on Result #58739

There is no OA(348, 74, S3, 31), because the linear programming bound shows that M ≥ 5 960874 730507 377196 420194 390341 917191 / 66 651128 760320 > 348

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(348, 74, S3, 2, 31) [i]Depth Reduction
2No OOA(348, 74, S3, 3, 31) [i]
3No OOA(348, 74, S3, 4, 31) [i]
4No OOA(348, 74, S3, 5, 31) [i]
5No (17, 48, 74)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3141, 168, F3, 93) (dual of [168, 27, 94]-code) [i]Residual Code