Information on Result #58019

There is no OA(261, 77, S2, 30), because the linear programming bound shows that M ≥ 1134 474760 533137 424384 / 437 > 261

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(262, 78, S2, 31) [i]Truncation
2No OOA(262, 77, S2, 2, 31) [i]m-Reduction for OOAs
3No OOA(261, 77, S2, 2, 30) [i]Depth Reduction
4No OOA(261, 77, S2, 3, 30) [i]
5No OOA(261, 77, S2, 4, 30) [i]
6No OOA(261, 77, S2, 5, 30) [i]
7No OOA(261, 77, S2, 6, 30) [i]
8No OOA(261, 77, S2, 7, 30) [i]
9No OOA(261, 77, S2, 8, 30) [i]
10No (31, 61, 77)-net in base 2 [i]Extracting Embedded Orthogonal Array