MinT - Information on Result #599805

Information on Result #599805

There is no digital (3, 6, 3777)-net over F₈, because extracting embedded orthogonal array would yield linear OA(8⁶, 3777, F₈, 3) (dual of [3777, 3771, 4]-code or 3777-cap in PG(5,8)), but

removing affine subspaces [i] would yield
1. linear OA(8⁵, 494, F₈, 3) (dual of [494, 489, 4]-code or 494-cap in PG(4,8)), but
  - bound for caps in PG(4,Â b) [i]
2. 3284-cap in AG(5,8), but
  - 2 times the recursive bound from Bierbrauer and Edel [i] would yield 65-cap in AG(3,8), but
    - affine subcap of ovoid is optimal [i]

Mode: Bound (linear).

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.