Information on Result #5821

There is no OA(253, 182, S2, 20), because the Rao or (dual) Hamming bound shows that M ≥ 9064 436853 738748 > 253

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 linear OA(2132, 185, F2, 62) (dual of [185, 53, 63]-code) [i]Construction Y1 (Bound)
2No linear OA(2157, 210, F2, 74) (dual of [210, 53, 75]-code) [i]