MinT - Information on Result #599922

Information on Result #599922

There is no digital (3, 6, 376900)-net over F₂₅, because extracting embedded orthogonal array would yield linear OA(25⁶, 376900, F₂₅, 3) (dual of [376900, 376894, 4]-code or 376900-cap in PG(5,25)), but

removing affine subspaces [i] would yield
1. linear OA(25⁵, 15187, F₂₅, 3) (dual of [15187, 15182, 4]-code or 15187-cap in PG(4,25)), but
  - bound for caps in PG(4,Â b) [i]
2. 361714-cap in AG(5,25), but
  - 2 times the recursive bound from Bierbrauer and Edel [i] would yield 626-cap in AG(3,25), 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.