MinT - Information on Result #1187444

Information on Result #1187444

Digital (226, 251, 699074)-net over F₄, using net defined by OOA based on linear OOA(4²⁵¹, 699074, F₄, 27, 25) (dual of [(699074, 27), 18874747, 26]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OOA(4²⁵¹, 2796297, F₄, 3, 25) (dual of [(2796297, 3), 8388640, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁵¹, 2796299, F₄, 3, 25) (dual of [(2796299, 3), 8388646, 26]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(4³⁴, 98, F₄, 3, 12) (dual of [(98, 3), 260, 13]-NRT-code), using
      - extracting embedded OOA [i] based on digital (22, 34, 98)-net over F₄, using
        trace code for nets [i] based on digital (5, 17, 49)-net over F₁₆, using
        net from sequence [i] based on digital (5, 48)-sequence over F₁₆, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 5 and N(F) ≥ 49, using
        a function field by SÃ©mirat [i]
    2. linear OOA(4²¹⁷, 2796201, F₄, 3, 25) (dual of [(2796201, 3), 8388386, 26]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(4²¹⁷, large, F₄, 25) (dual of [large, large−217, 26]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 4²⁴âˆ’1, defining interval IÂ =Â [0,12], and minimum distance dÂ â‰¥ |{−12,−11,…,12}|+1Â =Â 26 (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.