MinT - Information on Result #1184584

Information on Result #1184584

Digital (186, 204, 932085)-net over F₃, using net defined by OOA based on linear OOA(3²⁰⁴, 932085, F₃, 21, 18) (dual of [(932085, 21), 19573581, 19]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(3²⁰⁴, 2796256, F₃, 3, 18) (dual of [(2796256, 3), 8388564, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²⁰⁴, 2796257, F₃, 3, 18) (dual of [(2796257, 3), 8388567, 19]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(3²⁴, 56, F₃, 3, 9) (dual of [(56, 3), 144, 10]-NRT-code), using
      - extracting embedded OOA [i] based on digital (15, 24, 56)-net over F₃, using
        trace code for nets [i] based on digital (3, 12, 28)-net over F₉, using
        net from sequence [i] based on digital (3, 27)-sequence over F₉, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
        the Hermitian function field over F₉ [i]
    2. linear OOA(3¹⁸⁰, 2796201, F₃, 3, 18) (dual of [(2796201, 3), 8388423, 19]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(3¹⁸⁰, large, F₃, 18) (dual of [large, large−180, 19]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,18], 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.