Information on Result #61030

There is no OA(727, 36, S7, 24), because the linear programming bound shows that M ≥ 6330 794702 465256 082923 712163 / 76415 > 727

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(727, 36, S7, 2, 24) [i]Depth Reduction
2No OOA(727, 36, S7, 3, 24) [i]
3No (3, 27, 36)-net in base 7 [i]Extracting Embedded Orthogonal Array