MinT - Information on Result #1225545

Information on Result #1225545

Digital (51, 81, 262)-net over F₃₂, using (u,Â u+v)-construction based on

digital (14, 29, 146)-net over F₃₂, using
- net defined by OOA [i] based on linear OOA(32²⁹, 146, F₃₂, 15, 15) (dual of [(146, 15), 2161, 16]-NRT-code), using
  - OOA 7-folding and stacking with additional row [i] based on linear OA(32²⁹, 1023, F₃₂, 15) (dual of [1023, 994, 16]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 1023Â = 32²âˆ’1, defining interval IÂ =Â [0,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]
digital (22, 52, 131)-net over F₃₂, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 15, 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, 37, 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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