MinT - Information on Result #1184626

Information on Result #1184626

Digital (232, 250, 1062901)-net over F₃, using net defined by OOA based on linear OOA(3²⁵⁰, 1062901, F₃, 21, 18) (dual of [(1062901, 21), 22320671, 19]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(3²⁵⁰, 3188704, F₃, 3, 18) (dual of [(3188704, 3), 9565862, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²⁵⁰, 3188706, F₃, 3, 18) (dual of [(3188706, 3), 9565868, 19]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(3²⁶, 60, F₃, 3, 9) (dual of [(60, 3), 154, 10]-NRT-code), using
      - extracting embedded OOA [i] based on digital (17, 26, 60)-net over F₃, using
        trace code for nets [i] based on digital (4, 13, 30)-net over F₉, using
        net from sequence [i] based on digital (4, 29)-sequence over F₉, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 4 and N(F) ≥ 30, using
        a function field by SÃ©mirat [i]
    2. linear OOA(3²²⁴, 3188646, F₃, 3, 18) (dual of [(3188646, 3), 9565714, 19]-NRT-code), using
      - trace code [i] based on linear OOA(9¹¹², 1594323, F₉, 3, 18) (dual of [(1594323, 3), 4782857, 19]-NRT-code), using
        OOA 3-folding [i] based on linear OA(9¹¹², 4782969, F₉, 18) (dual of [4782969, 4782857, 19]-code), using
        1 times truncation [i] based on linear OA(9¹¹³, 4782970, F₉, 19) (dual of [4782970, 4782857, 20]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 4782970Â | 9¹⁴âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [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.