Information on Result #59276

There is no OA(3119, 147, S3, 75), because the linear programming bound shows that M ≥ 16 137915 552723 745131 682214 391750 091116 522557 190679 736158 328855 711764 240731 / 23372 130007 496452 > 3119

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(3119, 147, S3, 2, 75) [i]Depth Reduction
2No OOA(3119, 147, S3, 3, 75) [i]
3No OOA(3119, 147, S3, 4, 75) [i]
4No OOA(3119, 147, S3, 5, 75) [i]
5No (44, 119, 147)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3120, 181, F3, 75) (dual of [181, 61, 76]-code) [i]Construction Y1 (Bound)