Information on Result #59802

There is no OA(460, 81, S4, 44), because the linear programming bound shows that M ≥ 278 016363 629983 093645 810481 419845 575227 299067 854848 / 143 941903 015625 > 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, 81, S4, 2, 44) [i]Depth Reduction
2No OOA(460, 81, S4, 3, 44) [i]
3No (16, 60, 81)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4236, 258, F4, 176) (dual of [258, 22, 177]-code) [i]Residual Code