Information on Result #59313

There is no OA(3126, 150, S3, 80), because the linear programming bound shows that M ≥ 1 744284 668385 163500 346306 269658 104769 929699 691581 439318 970712 105752 702784 / 1 186440 433087 > 3126

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(3126, 150, S3, 2, 80) [i]Depth Reduction
2No OOA(3126, 150, S3, 3, 80) [i]
3No OOA(3126, 150, S3, 4, 80) [i]
4No OOA(3126, 150, S3, 5, 80) [i]
5No (46, 126, 150)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3127, 178, F3, 80) (dual of [178, 51, 81]-code) [i]Construction Y1 (Bound)