MinT - Information on Result #1841885

Information on Result #1841885

(37, 50, 1398228)-net in base 128, using net defined by OOA based on OOA(128⁵⁰, 1398228, S₁₂₈, 15, 13), using

OOA 2-folding and stacking with additional row [i] based on OOA(128⁵⁰, 2796457, S₁₂₈, 3, 13), using
- discarding factors based on OOA(128⁵⁰, 2796458, S₁₂₈, 3, 13), using
  - (u,Â u+v)-construction [i] based on
    1. OOA(128⁷, 257, S₁₂₈, 3, 6), using
      - extracting embedded OOA [i] based on (1, 7, 257)-net in base 128, using
        1 times m-reduction [i] based on (1, 8, 257)-net in base 128, using
        base change [i] based on digital (0, 7, 257)-net over F₂₅₆, using
        net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
        the rational function field F₂₅₆(x) [i]
        Niederreiter sequence [i]
    2. OOA(128⁴³, 2796201, S₁₂₈, 3, 13), using
      - OOA 3-folding [i] based on OA(128⁴³, large, S₁₂₈, 13), using
        discarding parts of the base [i] based on linear OA(256³⁷, large, F₂₅₆, 13) (dual of [large, large−37, 14]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [i]

Mode: Constructive.

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.