Information on Result #526577

There is no linear OA(86, 3777, F8, 3) (dual of [3777, 3771, 4]-code or 3777-cap in PG(5,8)), because removing affine subspaces would yield
  1. linear OA(85, 494, F8, 3) (dual of [494, 489, 4]-code or 494-cap in PG(4,8)), but
  2. 3284-cap in AG(5,8), but

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(86, 3777, F8, 2, 3) (dual of [(3777, 2), 7548, 4]-NRT-code) [i]Depth Reduction
2No linear OOA(86, 3777, F8, 3, 3) (dual of [(3777, 3), 11325, 4]-NRT-code) [i]
3No digital (3, 6, 3777)-net over F8 [i]Extracting Embedded Orthogonal Array