MinT - Information on Result #1184864

Information on Result #1184864

Digital (198, 218, 838875)-net over F₃, using net defined by OOA based on linear OOA(3²¹⁸, 838875, F₃, 25, 20) (dual of [(838875, 25), 20971657, 21]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3²¹⁸, 1677751, F₃, 5, 20) (dual of [(1677751, 5), 8388537, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²¹⁸, 1677752, F₃, 5, 20) (dual of [(1677752, 5), 8388542, 21]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(3²², 32, F₃, 5, 10) (dual of [(32, 5), 138, 11]-NRT-code), using
      - extracting embedded OOA [i] based on digital (12, 22, 32)-net over F₃, using
        trace code for nets [i] based on digital (1, 11, 16)-net over F₉, using
        net from sequence [i] based on digital (1, 15)-sequence over F₉, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
        a function field by GarcÃa and Quoos [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.