Information on Result #59727

There is no OA(453, 73, S4, 39), because the linear programming bound shows that M ≥ 498171 059023 261286 907602 843617 753170 968576 / 5511 193875 > 453

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(453, 73, S4, 2, 39) [i]Depth Reduction
2No OOA(453, 73, S4, 3, 39) [i]
3No (14, 53, 73)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4209, 230, F4, 156) (dual of [230, 21, 157]-code) [i]Residual Code