Information on Result #59009

There is no OA(373, 88, S3, 48), because the linear programming bound shows that M ≥ 21 779877 362252 895710 497054 495927 589540 336685 / 227 684429 > 373

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(373, 88, S3, 2, 48) [i]Depth Reduction
2No OOA(373, 88, S3, 3, 48) [i]
3No OOA(373, 88, S3, 4, 48) [i]
4No OOA(373, 88, S3, 5, 48) [i]
5No (25, 73, 88)-net in base 3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3217, 233, F3, 144) (dual of [233, 16, 145]-code) [i]Residual Code