MinT - Information on Result #1187350

Information on Result #1187350

Digital (228, 252, 699098)-net over F₄, using net defined by OOA based on linear OOA(4²⁵², 699098, F₄, 27, 24) (dual of [(699098, 27), 18875394, 25]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OOA(4²⁵², 2796393, F₄, 3, 24) (dual of [(2796393, 3), 8388927, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁵², 2796396, F₄, 3, 24) (dual of [(2796396, 3), 8388936, 25]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(4³⁶, 195, F₄, 3, 12) (dual of [(195, 3), 549, 13]-NRT-code), using
      - extracting embedded OOA [i] based on digital (24, 36, 195)-net over F₄, using
        trace code for nets [i] based on digital (0, 12, 65)-net over F₆₄, using
        net from sequence [i] based on digital (0, 64)-sequence over F₆₄, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 0 and N(F) ≥ 65, using
        the rational function field F₆₄(x) [i]
        Niederreiter sequence [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.