MinT - Information on Result #1187348

Information on Result #1187348

Digital (226, 250, 699074)-net over F₄, using net defined by OOA based on linear OOA(4²⁵⁰, 699074, F₄, 27, 24) (dual of [(699074, 27), 18874748, 25]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OOA(4²⁵⁰, 2796297, F₄, 3, 24) (dual of [(2796297, 3), 8388641, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁵⁰, 2796299, F₄, 3, 24) (dual of [(2796299, 3), 8388647, 25]-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(4²¹⁶, 2796201, F₄, 3, 24) (dual of [(2796201, 3), 8388387, 25]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(4²¹⁶, large, F₄, 24) (dual of [large, large−216, 25]-code), using
        the primitive narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [1,24], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 25 [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.