MinT - Information on Result #1217239

Information on Result #1217239

Digital (38, 47, 14843)-net over F₉, using (u,Â u+v)-construction based on

digital (3, 7, 82)-net over F₉, using
- base reduction for projective spaces (embedding PG(3,81) in PG(6,9)) for nets [i] based on digital (0, 4, 82)-net over F₈₁, using
  - net from sequence [i] based on digital (0, 81)-sequence over F₈₁, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 0 and N(F) ≥ 82, using
      - the rational function field F₈₁(x) [i]
    - Niederreiter sequence [i]
digital (31, 40, 14761)-net over F₉, using
- net defined by OOA [i] based on linear OOA(9⁴⁰, 14761, F₉, 9, 9) (dual of [(14761, 9), 132809, 10]-NRT-code), using
  - OOA 4-folding and stacking with additional row [i] based on linear OA(9⁴⁰, 59045, F₉, 9) (dual of [59045, 59005, 10]-code), using
    - discarding factors / shortening the dual code based on linear OA(9⁴⁰, 59048, F₉, 9) (dual of [59048, 59008, 10]-code), using
      - 1 times truncation [i] based on linear OA(9⁴¹, 59049, F₉, 10) (dual of [59049, 59008, 11]-code), using
        an extension C_e(9) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 9⁵âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

Mode: Constructive and 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.