Information on Result #524356

There is no linear OA(815, 525515, F81, 3) (dual of [525515, 525510, 4]-code or 525515-cap in PG(4,81)), 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(815, 525515, F81, 2, 3) (dual of [(525515, 2), 1051025, 4]-NRT-code) [i]Depth Reduction
2No linear OOA(815, 525515, F81, 3, 3) (dual of [(525515, 3), 1576540, 4]-NRT-code) [i]
3No linear OOA(815, 525515, F81, 4, 3) (dual of [(525515, 4), 2102055, 4]-NRT-code) [i]
4No digital (2, 5, 525515)-net over F81 [i]Extracting Embedded Orthogonal Array