Information on Result #58034

There is no OA(265, 81, S2, 32), because the linear programming bound shows that M ≥ 648144 799773 858805 579776 / 14875 > 265

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(266, 82, S2, 33) [i]Truncation
2No OOA(266, 81, S2, 2, 33) [i]m-Reduction for OOAs
3No OOA(265, 81, S2, 2, 32) [i]Depth Reduction
4No OOA(265, 81, S2, 3, 32) [i]
5No OOA(265, 81, S2, 4, 32) [i]
6No OOA(265, 81, S2, 5, 32) [i]
7No OOA(265, 81, S2, 6, 32) [i]
8No OOA(265, 81, S2, 7, 32) [i]
9No OOA(265, 81, S2, 8, 32) [i]
10No (33, 65, 81)-net in base 2 [i]Extracting Embedded Orthogonal Array