Information on Result #58979

There is no OA(370, 92, S3, 45), because the linear programming bound shows that M ≥ 188 391517 236007 568713 593648 567068 308556 925762 / 64396 265375 > 370

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(370, 92, S3, 2, 45) [i]Depth Reduction
2No OOA(370, 92, S3, 3, 45) [i]
3No OOA(370, 92, S3, 4, 45) [i]
4No OOA(370, 92, S3, 5, 45) [i]
5No (25, 70, 92)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3205, 228, F3, 135) (dual of [228, 23, 136]-code) [i]Residual Code