Information on Result #59698

There is no OA(450, 68, S4, 37), because the linear programming bound shows that M ≥ 11357 650917 546516 093958 121792 521354 870784 / 7451 279381 > 450

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(450, 68, S4, 2, 37) [i]Depth Reduction
2No OOA(450, 68, S4, 3, 37) [i]
3No (13, 50, 68)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4198, 217, F4, 148) (dual of [217, 19, 149]-code) [i]Residual Code