Information on Result #58065

There is no OA(270, 80, S2, 36), because the linear programming bound shows that M ≥ 689465 506498 968201 199616 / 437 > 270

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(271, 81, S2, 37) [i]Truncation
2No OOA(271, 80, S2, 2, 37) [i]m-Reduction for OOAs
3No OOA(273, 80, S2, 2, 39) [i]
4No OOA(270, 80, S2, 2, 36) [i]Depth Reduction
5No OOA(270, 80, S2, 3, 36) [i]
6No OOA(270, 80, S2, 4, 36) [i]
7No OOA(270, 80, S2, 5, 36) [i]
8No OOA(270, 80, S2, 6, 36) [i]
9No OOA(270, 80, S2, 7, 36) [i]
10No OOA(270, 80, S2, 8, 36) [i]
11No (34, 70, 80)-net in base 2 [i]Extracting Embedded Orthogonal Array