MinT - Information on Result #1210741

Information on Result #1210741

Digital (230, 248, 3729301)-net over F₄, using (u,Â u+v)-construction based on

digital (31, 40, 1033)-net over F₄, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 4, 5)-net over F₄, using
    - net from sequence [i] based on digital (0, 4)-sequence over F₄, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 0 and N(F) ≥ 5, using
        the rational function field F₄(x) [i]
      - Niederreiter sequence [i]
  2. digital (27, 36, 1028)-net over F₄, using
    - trace code for nets [i] based on digital (0, 9, 257)-net over F₂₅₆, using
      - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
        the rational function field F₂₅₆(x) [i]
        Niederreiter sequence [i]
digital (190, 208, 3728268)-net over F₄, using
- trace code for nets [i] based on digital (34, 52, 932067)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256⁵², 932067, F₂₅₆, 18, 18) (dual of [(932067, 18), 16777154, 19]-NRT-code), using
    - OA 9-folding and stacking [i] based on linear OA(256⁵², large, F₂₅₆, 18) (dual of [large, large−52, 19]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,17], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [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.