MinT - Information on Result #1184870

Information on Result #1184870

Digital (204, 224, 838889)-net over F₃, using net defined by OOA based on linear OOA(3²²⁴, 838889, F₃, 25, 20) (dual of [(838889, 25), 20972001, 21]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3²²⁴, 1677779, F₃, 5, 20) (dual of [(1677779, 5), 8388671, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²²⁴, 1677780, F₃, 5, 20) (dual of [(1677780, 5), 8388676, 21]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(3²⁸, 60, F₃, 5, 10) (dual of [(60, 5), 272, 11]-NRT-code), using
      - extracting embedded OOA [i] based on digital (18, 28, 60)-net over F₃, using
        trace code for nets [i] based on digital (4, 14, 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(3¹⁹⁶, 1677720, F₃, 5, 20) (dual of [(1677720, 5), 8388404, 21]-NRT-code), using
      - OOA 5-folding [i] based on linear OA(3¹⁹⁶, 8388600, F₃, 20) (dual of [8388600, 8388404, 21]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹⁹⁶, large, F₃, 20) (dual of [large, large−196, 21]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [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.