MinT - Information on Result #1225100

Information on Result #1225100

Digital (33, 51, 262)-net over F₃₂, using (u,Â u+v)-construction based on

digital (8, 17, 256)-net over F₃₂, using
- net defined by OOA [i] based on linear OOA(32¹⁷, 256, F₃₂, 9, 9) (dual of [(256, 9), 2287, 10]-NRT-code), using
  - OOA 4-folding and stacking with additional row [i] based on linear OA(32¹⁷, 1025, F₃₂, 9) (dual of [1025, 1008, 10]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 1025Â | 32⁴âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (BCH-bound) [i]
digital (16, 34, 131)-net over F₃₂, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 9, 33)-net over F₃₂, using
    - net from sequence [i] based on digital (0, 32)-sequence over F₃₂, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 0 and N(F) ≥ 33, using
        the rational function field F₃₂(x) [i]
      - Niederreiter sequence [i]
  2. digital (7, 25, 98)-net over F₃₂, using
    - net from sequence [i] based on digital (7, 97)-sequence over F₃₂, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 7 and N(F) ≥ 98, using
        a function field by SÃ©mirat [i]

Mode: Constructive and linear.

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