Information on Result #524349

There is no linear OA(85, 494, F8, 3) (dual of [494, 489, 4]-code or 494-cap in PG(4,8)), 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(85, 494, F8, 2, 3) (dual of [(494, 2), 983, 4]-NRT-code) [i]Depth Reduction
2No linear OOA(85, 494, F8, 3, 3) (dual of [(494, 3), 1477, 4]-NRT-code) [i]
3No digital (2, 5, 494)-net over F8 [i]Extracting Embedded Orthogonal Array
4No linear OA(86, 3777, F8, 3) (dual of [3777, 3771, 4]-code or 3777-cap in PG(5,8)) [i]Removing Affine Subspaces
5No linear OA(87, 27650, F8, 3) (dual of [27650, 27643, 4]-code or 27650-cap in PG(6,8)) [i]
6No linear OA(88, 202694, F8, 3) (dual of [202694, 202686, 4]-code or 202694-cap in PG(7,8)) [i]
7No linear OA(89, 1495167, F8, 3) (dual of [1495167, 1495158, 4]-code or 1495167-cap in PG(8,8)) [i]