Information on Result #32278

There is no OA(58, 34, S5, 6), because the Rao or (dual) Hamming bound shows that M ≥ 392089 > 58

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 OA(59, 35, S5, 7) [i]Truncation
2No linear OA(538, 65, F5, 30) (dual of [65, 27, 31]-code) [i]Residual Code
3No linear OA(531, 39, F5, 25) (dual of [39, 8, 26]-code) [i]Construction Y1 (Bound)