Information on Result #58806

There is no OA(355, 87, S3, 35), because the linear programming bound shows that M ≥ 4 080243 847169 139626 292321 742040 788787 487274 687791 / 20316 463038 499354 974208 > 355

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(355, 87, S3, 2, 35) [i]Depth Reduction
2No OOA(355, 87, S3, 3, 35) [i]
3No OOA(355, 87, S3, 4, 35) [i]
4No OOA(355, 87, S3, 5, 35) [i]
5No (20, 55, 87)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3160, 193, F3, 105) (dual of [193, 33, 106]-code) [i]Residual Code