MinT - Information on Result #1186902

Information on Result #1186902

Digital (176, 195, 932096)-net over F₄, using net defined by OOA based on linear OOA(4¹⁹⁵, 932096, F₄, 21, 19) (dual of [(932096, 21), 19573821, 20]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(4¹⁹⁵, 2796289, F₄, 3, 19) (dual of [(2796289, 3), 8388672, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹⁹⁵, 2796291, F₄, 3, 19) (dual of [(2796291, 3), 8388678, 20]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(4²⁶, 90, F₄, 3, 9) (dual of [(90, 3), 244, 10]-NRT-code), using
      - extracting embedded OOA [i] based on digital (17, 26, 90)-net over F₄, using
        trace code for nets [i] based on digital (4, 13, 45)-net over F₁₆, using
        net from sequence [i] based on digital (4, 44)-sequence over F₁₆, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 4 and N(F) ≥ 45, using
        a function field by GarcÃa and Quoos [i]
    2. linear OOA(4¹⁶⁹, 2796201, F₄, 3, 19) (dual of [(2796201, 3), 8388434, 20]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(4¹⁶⁹, large, F₄, 19) (dual of [large, large−169, 20]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 4²⁴âˆ’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.