Information on Result #524350

There is no linear OA(165, 3934, F16, 3) (dual of [3934, 3929, 4]-code or 3934-cap in PG(4,16)), because bound for caps in PG(4, b)

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No linear OOA(165, 3934, F16, 2, 3) (dual of [(3934, 2), 7863, 4]-NRT-code) [i]Depth Reduction
2No digital (2, 5, 3934)-net over F16 [i]Extracting Embedded Orthogonal Array
3No linear OA(166, 62202, F16, 3) (dual of [62202, 62196, 4]-code or 62202-cap in PG(5,16)) [i]Removing Affine Subspaces
4No linear OA(167, 945412, F16, 3) (dual of [945412, 945405, 4]-code or 945412-cap in PG(6,16)) [i]