Information on Result #61055

There is no OA(730, 34, S7, 27), because the linear programming bound shows that M ≥ 2186 316008 197149 034522 735153 / 88 > 730

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(730, 34, S7, 2, 27) [i]Depth Reduction
2No OOA(730, 34, S7, 3, 27) [i]
3No linear OA(731, 53, F7, 27) (dual of [53, 22, 28]-code) [i]Construction Y1 (Bound)