Information on Result #59908

There is no OA(473, 86, S4, 54), because the linear programming bound shows that M ≥ 6 529660 477726 074785 377468 003488 991368 143284 017194 598400 / 63993 007639 > 473

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 OA(474, 87, S4, 55) [i]Truncation
2No OOA(474, 86, S4, 2, 55) [i]m-Reduction for OOAs
3No OOA(473, 86, S4, 2, 54) [i]Depth Reduction
4No OOA(473, 86, S4, 3, 54) [i]
5No (19, 73, 86)-net in base 4 [i]Extracting Embedded Orthogonal Array