MinT - Information on Result #1221452

Information on Result #1221452

Digital (88, 107, 932144)-net over F₂₅, using (u,Â u+v)-construction based on

digital (7, 16, 78)-net over F₂₅, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 4, 26)-net over F₂₅, using
    - net from sequence [i] based on digital (0, 25)-sequence over F₂₅, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 0 and N(F) ≥ 26, using
        the rational function field F₂₅(x) [i]
      - Niederreiter sequence [i]
  2. digital (3, 12, 52)-net over F₂₅, using
    - net from sequence [i] based on digital (3, 51)-sequence over F₂₅, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 3 and N(F) ≥ 52, using
        a function field by GarcÃa and Quoos [i]
digital (72, 91, 932066)-net over F₂₅, using
- net defined by OOA [i] based on linear OOA(25⁹¹, 932066, F₂₅, 19, 19) (dual of [(932066, 19), 17709163, 20]-NRT-code), using
  - OOA 9-folding and stacking with additional row [i] based on linear OA(25⁹¹, 8388595, F₂₅, 19) (dual of [8388595, 8388504, 20]-code), using
    - discarding factors / shortening the dual code based on linear OA(25⁹¹, large, F₂₅, 19) (dual of [large, large−91, 20]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 9765626Â | 25¹⁰âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [i]

Mode: Constructive and linear.

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None.