Information on Result #22309

There is no OA(422, 164, S4, 12), because the Rao or (dual) Hamming bound shows that M ≥ 18 187369 733464 > 422

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(4172, 194, F4, 128) (dual of [194, 22, 129]-code) [i]Construction Y1 (Bound)
2No linear OA(4177, 199, F4, 132) (dual of [199, 22, 133]-code) [i]
3No linear OA(4166, 188, F4, 124) (dual of [188, 22, 125]-code) [i]