MinT - Information on Result #1184736

Information on Result #1184736

Digital (188, 207, 932086)-net over F₃, using net defined by OOA based on linear OOA(3²⁰⁷, 932086, F₃, 21, 19) (dual of [(932086, 21), 19573599, 20]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(3²⁰⁷, 2796259, F₃, 3, 19) (dual of [(2796259, 3), 8388570, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²⁰⁷, 2796261, F₃, 3, 19) (dual of [(2796261, 3), 8388576, 20]-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(3¹⁸¹, 2796201, F₃, 3, 19) (dual of [(2796201, 3), 8388422, 20]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(3¹⁸¹, large, F₃, 19) (dual of [large, large−181, 20]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’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.