Information on Result #59832

There is no OA(461, 71, S4, 46), because the linear programming bound shows that M ≥ 174 709133 954015 909665 219644 446048 162198 585344 / 19 840815 > 461

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(461, 71, S4, 2, 46) [i]Depth Reduction
2No OOA(461, 71, S4, 3, 46) [i]
3No (15, 61, 71)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4245, 256, F4, 184) (dual of [256, 11, 185]-code) [i]Residual Code