MinT - Information on Result #1184592

Information on Result #1184592

Digital (195, 213, 932114)-net over F₃, using net defined by OOA based on linear OOA(3²¹³, 932114, F₃, 21, 18) (dual of [(932114, 21), 19574181, 19]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(3²¹³, 2796343, F₃, 3, 18) (dual of [(2796343, 3), 8388816, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²¹³, 2796345, F₃, 3, 18) (dual of [(2796345, 3), 8388822, 19]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(3³³, 144, F₃, 3, 9) (dual of [(144, 3), 399, 10]-NRT-code), using
      - extracting embedded OOA [i] based on digital (24, 33, 144)-net over F₃, using
        trace code for nets [i] based on digital (2, 11, 48)-net over F₂₇, using
        net from sequence [i] based on digital (2, 47)-sequence over F₂₇, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 2 and N(F) ≥ 48, using
        a function field by GarcÃa and Quoos [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.