Information on Result #57967

There is no OA(254, 76, S2, 26), because the linear programming bound shows that M ≥ 15529 924724 648266 694656 / 830025 > 254

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(255, 77, S2, 27) [i]Truncation
2No OOA(255, 76, S2, 2, 27) [i]m-Reduction for OOAs
3No OOA(254, 76, S2, 2, 26) [i]Depth Reduction
4No OOA(254, 76, S2, 3, 26) [i]
5No OOA(254, 76, S2, 4, 26) [i]
6No OOA(254, 76, S2, 5, 26) [i]
7No OOA(254, 76, S2, 6, 26) [i]
8No OOA(254, 76, S2, 7, 26) [i]
9No OOA(254, 76, S2, 8, 26) [i]
10No (28, 54, 76)-net in base 2 [i]Extracting Embedded Orthogonal Array