Information on Result #58881

There is no OA(361, 88, S3, 39), because the linear programming bound shows that M ≥ 27794 948374 262252 134892 330586 188426 701201 134663 / 193694 611824 634375 > 361

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(361, 88, S3, 2, 39) [i]Depth Reduction
2No OOA(361, 88, S3, 3, 39) [i]
3No OOA(361, 88, S3, 4, 39) [i]
4No OOA(361, 88, S3, 5, 39) [i]
5No (22, 61, 88)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3178, 206, F3, 117) (dual of [206, 28, 118]-code) [i]Residual Code