Information on Result #57741

There is no OA(54, 7, S5, 4), because bound for OAs with index unity

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(54, 7, S5, 2, 4) [i]Depth Reduction
2No OOA(54, 7, S5, 3, 4) [i]
3No linear OA(524, 28, F5, 20) (dual of [28, 4, 21]-code) [i]Residual Code
4No linear OA(55, 18, F5, 4) (dual of [18, 13, 5]-code) [i]Construction Y1 (Bound)