Information on Result #57971

There is no OA(258, 107, S2, 26), because the linear programming bound shows that M ≥ 63905 115152 312301 338462 624561 945060 065807 433728 / 207189 126759 202717 834639 422345 > 258

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(259, 108, S2, 27) [i]Truncation
2No OOA(259, 107, S2, 2, 27) [i]m-Reduction for OOAs
3No OOA(258, 107, S2, 2, 26) [i]Depth Reduction
4No OOA(258, 107, S2, 3, 26) [i]
5No OOA(258, 107, S2, 4, 26) [i]
6No OOA(258, 107, S2, 5, 26) [i]
7No OOA(258, 107, S2, 6, 26) [i]
8No OOA(258, 107, S2, 7, 26) [i]
9No OOA(258, 107, S2, 8, 26) [i]
10No (32, 58, 107)-net in base 2 [i]Extracting Embedded Orthogonal Array