MinT - Information on Result #1214654

Information on Result #1214654

Digital (81, 96, 117670)-net over F₇, using (u,Â u+v)-construction based on

digital (4, 11, 21)-net over F₇, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 3, 8)-net over F₇, using
    - net from sequence [i] based on digital (0, 7)-sequence over F₇, using
      - Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₇ with g(F) = 0 and N(F) ≥ 8, using
        the rational function field F₇(x) [i]
      - Niederreiter sequence [i]
  2. digital (1, 8, 13)-net over F₇, using
    - 5 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, using
      - a shift-net [i]
digital (70, 85, 117649)-net over F₇, using
- net defined by OOA [i] based on linear OOA(7⁸⁵, 117649, F₇, 15, 15) (dual of [(117649, 15), 1764650, 16]-NRT-code), using
  - OOA 7-folding and stacking with additional row [i] based on linear OA(7⁸⁵, 823544, F₇, 15) (dual of [823544, 823459, 16]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 823544Â | 7¹⁴âˆ’1, defining interval IÂ =Â [0,7], and minimum distance dÂ â‰¥ |{−7,−6,…,7}|+1Â =Â 16 (BCH-bound) [i]

Mode: Constructive and linear.

None.

None.