Information on Result #59760

There is no OA(460, 140, S4, 41), because the linear programming bound shows that M ≥ 879403 484026 313933 129107 893130 654952 488416 854359 107391 996054 021035 128392 974988 409099 175067 144881 999812 150052 449544 895148 851200 / 619301 085252 374849 001693 023953 651889 253595 081048 920563 530321 558861 109148 317743 673454 318139 > 460

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(460, 140, S4, 2, 41) [i]Depth Reduction
2No OOA(460, 140, S4, 3, 41) [i]
3No (19, 60, 140)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4224, 305, F4, 164) (dual of [305, 81, 165]-code) [i]Residual Code