Information on Result #4406

There is no OA(254, 57, S2, 32), because the (dual) Plotkin bound shows that M ≥ 216172 782113 783808 / 11 > 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, 58, S2, 33) [i]Truncation
2No OA(256, 59, S2, 34) [i]
3No OA(257, 60, S2, 35) [i]
4No OA(258, 61, S2, 36) [i]
5No OA(259, 62, S2, 37) [i]
6No OA(260, 63, S2, 38) [i]
7No OA(261, 64, S2, 39) [i]
8No OA(262, 65, S2, 40) [i]
9No OA(263, 66, S2, 41) [i]
10No OA(264, 67, S2, 42) [i]
11No OA(265, 68, S2, 43) [i]
12No OA(266, 69, S2, 44) [i]
13No OA(267, 70, S2, 45) [i]