Information on Result #57994

There is no OA(259, 83, S2, 28), because the linear programming bound shows that M ≥ 3 484516 168547 439462 055936 / 5 727645 > 259

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(260, 84, S2, 29) [i]Truncation
2No OOA(260, 83, S2, 2, 29) [i]m-Reduction for OOAs
3No OOA(259, 83, S2, 2, 28) [i]Depth Reduction
4No OOA(259, 83, S2, 3, 28) [i]
5No OOA(259, 83, S2, 4, 28) [i]
6No OOA(259, 83, S2, 5, 28) [i]
7No OOA(259, 83, S2, 6, 28) [i]
8No OOA(259, 83, S2, 7, 28) [i]
9No OOA(259, 83, S2, 8, 28) [i]
10No (31, 59, 83)-net in base 2 [i]Extracting Embedded Orthogonal Array