Information on Result #58949

There is no OA(376, 213, S3, 42), because the linear programming bound shows that M ≥ 24139 354386 854363 147378 476124 618112 504428 827791 667688 382538 767752 602863 057296 834401 801307 804700 / 12846 980782 406505 841743 696059 469546 157683 736221 588601 551817 > 376

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(377, 214, S3, 43) [i]Truncation
2No OA(378, 215, S3, 44) [i]
3No OA(379, 216, S3, 45) [i]
4No OA(380, 217, S3, 46) [i]
5No OA(381, 218, S3, 47) [i]
6No OA(382, 219, S3, 48) [i]
7No OA(383, 220, S3, 49) [i]
8No OOA(377, 213, S3, 2, 43) [i]m-Reduction for OOAs
9No OOA(376, 213, S3, 2, 42) [i]Depth Reduction