Information on Result #59777

There is no OA(464, 180, S4, 42), because the linear programming bound shows that M ≥ 387317 878288 940952 121032 892106 078533 601878 434569 146042 672353 835001 098548 766344 071344 765591 401529 344000 / 1135 320053 976181 914391 551986 355178 156290 618852 310180 915372 701779 > 464

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(464, 180, S4, 2, 42) [i]Depth Reduction
2No OOA(464, 180, S4, 3, 42) [i]
3No (22, 64, 180)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4232, 349, F4, 168) (dual of [349, 117, 169]-code) [i]Residual Code