Information on Result #548247

There is no linear OA(461, 70, F4, 46) (dual of [70, 9, 47]-code), because “Gur” bound on codes from Brouwer’s database

Mode: Bound (linear).

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 OOA(462, 70, F4, 2, 47) (dual of [(70, 2), 78, 48]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(461, 70, F4, 2, 46) (dual of [(70, 2), 79, 47]-NRT-code) [i]Depth Reduction
3No linear OOA(461, 70, F4, 3, 46) (dual of [(70, 3), 149, 47]-NRT-code) [i]
4No digital (15, 61, 70)-net over F4 [i]Extracting Embedded Orthogonal Array
5No linear OA(4245, 255, F4, 184) (dual of [255, 10, 185]-code) [i]Residual Code