Information on Result #524347

There is no linear OA(1284, 16386, F128, 3) (dual of [16386, 16382, 4]-code or 16386-cap in PG(3,128)), because ovoid cap is optimal

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(1284, 16386, F128, 2, 3) (dual of [(16386, 2), 32768, 4]-NRT-code) [i]Depth Reduction
2No linear OOA(1284, 16386, F128, 3, 3) (dual of [(16386, 3), 49154, 4]-NRT-code) [i]
3No linear OOA(1284, 16386, F128, 4, 3) (dual of [(16386, 4), 65540, 4]-NRT-code) [i]
4No digital (1, 4, 16386)-net over F128 [i]Extracting Embedded Orthogonal Array