MinT - Information on Result #1841007

Information on Result #1841007

(71, 88, 1048591)-net in base 32, using net defined by OOA based on OOA(32⁸⁸, 1048591, S₃₂, 18, 17), using

OOA 4-folding and stacking with additional row [i] based on OOA(32⁸⁸, 4194365, S₃₂, 2, 17), using
- discarding factors based on OOA(32⁸⁸, 4194366, S₃₂, 2, 17), using
  - (u,Â u+v)-construction [i] based on
    1. OOA(32¹⁰, 65, S₃₂, 2, 8), using
      - extracting embedded OOA [i] based on (2, 10, 65)-net in base 32, using
        2 times m-reduction [i] based on (2, 12, 65)-net in base 32, using
        base change [i] based on digital (0, 10, 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. OOA(32⁷⁸, 4194301, S₃₂, 2, 17), using
      - OOA 2-folding [i] based on OA(32⁷⁸, 8388602, S₃₂, 17), using
        discarding factors based on OA(32⁷⁸, large, S₃₂, 17), using
        discarding parts of the base [i] based on linear OA(64⁶⁵, large, F₆₄, 17) (dual of [large, large−65, 18]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,8], and minimum distance dÂ â‰¥ |{−8,−7,…,8}|+1Â =Â 18 (BCH-bound) [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.