MinT - Information on Result #1187440

Information on Result #1187440

Digital (222, 247, 699069)-net over F₄, using net defined by OOA based on linear OOA(4²⁴⁷, 699069, F₄, 27, 25) (dual of [(699069, 27), 18874616, 26]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OOA(4²⁴⁷, 2796277, F₄, 3, 25) (dual of [(2796277, 3), 8388584, 26]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(4³⁰, 76, F₄, 3, 12) (dual of [(76, 3), 198, 13]-NRT-code), using
    - extracting embedded OOA [i] based on digital (18, 30, 76)-net over F₄, using
      - trace code for nets [i] based on digital (3, 15, 38)-net over F₁₆, using
        net from sequence [i] based on digital (3, 37)-sequence over F₁₆, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, 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.