MinT - Information on Result #1234004

Information on Result #1234004

Digital (82, 104, 95424)-net over F₃₂, using (u,Â u+v)-construction based on

digital (8, 19, 99)-net over F₃₂, using
- generalized (u,Â u+v)-construction [i] based on
  1. digital (0, 3, 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 (0, 5, 33)-net over F₃₂, using
    - net from sequence [i] based on digital (0, 32)-sequence over F₃₂ (see above)
  3. digital (0, 11, 33)-net over F₃₂, using
    - net from sequence [i] based on digital (0, 32)-sequence over F₃₂ (see above)
digital (63, 85, 95325)-net over F₃₂, using
- net defined by OOA [i] based on linear OOA(32⁸⁵, 95325, F₃₂, 22, 22) (dual of [(95325, 22), 2097065, 23]-NRT-code), using
  - OA 11-folding and stacking [i] based on linear OA(32⁸⁵, 1048575, F₃₂, 22) (dual of [1048575, 1048490, 23]-code), using
    - discarding factors / shortening the dual code based on linear OA(32⁸⁵, 1048576, F₃₂, 22) (dual of [1048576, 1048491, 23]-code), using
      - an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 1048575Â = 32⁴âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]

Mode: Constructive and linear.

None.

None.