Information on Result #59021

There is no OA(378, 112, S3, 49), because the linear programming bound shows that M ≥ 23121 339982 129752 217216 969972 698951 685311 859808 619791 997981 / 1328 024731 338747 547105 > 378

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(378, 112, S3, 2, 49) [i]Depth Reduction
2No OOA(378, 112, S3, 3, 49) [i]
3No OOA(378, 112, S3, 4, 49) [i]
4No OOA(378, 112, S3, 5, 49) [i]
5No (29, 78, 112)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3225, 260, F3, 147) (dual of [260, 35, 148]-code) [i]Residual Code