MinT - Information on Result #1187438

Information on Result #1187438

Digital (220, 245, 699066)-net over F₄, using net defined by OOA based on linear OOA(4²⁴⁵, 699066, F₄, 27, 25) (dual of [(699066, 27), 18874537, 26]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OOA(4²⁴⁵, 2796265, F₄, 3, 25) (dual of [(2796265, 3), 8388550, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁴⁵, 2796267, F₄, 3, 25) (dual of [(2796267, 3), 8388556, 26]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(4²⁸, 66, F₄, 3, 12) (dual of [(66, 3), 170, 13]-NRT-code), using
      - extracting embedded OOA [i] based on digital (16, 28, 66)-net over F₄, using
        trace code for nets [i] based on digital (2, 14, 33)-net over F₁₆, using
        net from sequence [i] based on digital (2, 32)-sequence over F₁₆, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, 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.