Information on Result #58947

There is no OA(374, 191, S3, 42), because the linear programming bound shows that M ≥ 7425 373872 326041 246958 413277 162396 664697 868093 270451 580073 051722 485491 109207 030427 537458 984375 / 32911 891840 780579 755648 777011 603243 208306 897748 202179 983781 > 374

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 OA(375, 192, S3, 43) [i]Truncation
2No OA(376, 193, S3, 44) [i]
3No OA(377, 194, S3, 45) [i]
4No OA(378, 195, S3, 46) [i]
5No OA(379, 196, S3, 47) [i]
6No OA(380, 197, S3, 48) [i]
7No OOA(375, 191, S3, 2, 43) [i]m-Reduction for OOAs
8No OOA(374, 191, S3, 2, 42) [i]Depth Reduction