MinT - Information on Result #1221567

Information on Result #1221567

Digital (85, 108, 35589)-net over F₂₅, using (u,Â u+v)-construction based on

digital (8, 19, 78)-net over F₂₅, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 5, 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, 14, 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 (66, 89, 35511)-net over F₂₅, using
- net defined by OOA [i] based on linear OOA(25⁸⁹, 35511, F₂₅, 23, 23) (dual of [(35511, 23), 816664, 24]-NRT-code), using
  - OOA 11-folding and stacking with additional row [i] based on linear OA(25⁸⁹, 390622, F₂₅, 23) (dual of [390622, 390533, 24]-code), using
    - discarding factors / shortening the dual code based on linear OA(25⁸⁹, 390625, F₂₅, 23) (dual of [390625, 390536, 24]-code), using
      - an extension C_e(22) of the primitive narrow-sense BCH-code C(I) with length 390624Â = 25⁴âˆ’1, defining interval IÂ =Â [1,22], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]

Mode: Constructive and linear.

None.

None.