Information on Result #22248

There is no OA(412, 156, S4, 6), because the Rao or (dual) Hamming bound shows that M ≥ 16 866019 > 412

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 linear OA(4165, 177, F4, 124) (dual of [177, 12, 125]-code) [i]Construction Y1 (Bound)
2No linear OA(4160, 172, F4, 120) (dual of [172, 12, 121]-code) [i]
3No linear OA(4214, 226, F4, 160) (dual of [226, 12, 161]-code) [i]
4No linear OA(4219, 231, F4, 164) (dual of [231, 12, 165]-code) [i]
5No linear OA(4235, 247, F4, 176) (dual of [247, 12, 177]-code) [i]
6No linear OA(4240, 252, F4, 180) (dual of [252, 12, 181]-code) [i]