Information on Result #59654

There is no OA(445, 57, S4, 34), because the linear programming bound shows that M ≥ 91952 839239 355304 325767 857111 564288 / 50 096875 > 445

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(445, 57, S4, 2, 34) [i]Depth Reduction
2No OOA(445, 57, S4, 3, 34) [i]
3No (11, 45, 57)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4181, 194, F4, 136) (dual of [194, 13, 137]-code) [i]Residual Code