MinT - Information on Result #1187342

Information on Result #1187342

Digital (220, 244, 699066)-net over F₄, using net defined by OOA based on linear OOA(4²⁴⁴, 699066, F₄, 27, 24) (dual of [(699066, 27), 18874538, 25]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OOA(4²⁴⁴, 2796265, F₄, 3, 24) (dual of [(2796265, 3), 8388551, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁴⁴, 2796267, F₄, 3, 24) (dual of [(2796267, 3), 8388557, 25]-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(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.