MinT - Information on Result #1184734

Information on Result #1184734

Digital (186, 205, 932085)-net over F₃, using net defined by OOA based on linear OOA(3²⁰⁵, 932085, F₃, 21, 19) (dual of [(932085, 21), 19573580, 20]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(3²⁰⁵, 2796256, F₃, 3, 19) (dual of [(2796256, 3), 8388563, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²⁰⁵, 2796257, F₃, 3, 19) (dual of [(2796257, 3), 8388566, 20]-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(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.