MinT - Information on Result #1228409

Information on Result #1228409

Digital (38, 60, 1768)-net over F₁₂₈, using (u,Â u+v)-construction based on

digital (6, 17, 279)-net over F₁₂₈, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 5, 129)-net over F₁₂₈, using
    - net from sequence [i] based on digital (0, 128)-sequence over F₁₂₈, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 0 and N(F) ≥ 129, using
        the rational function field F₁₂₈(x) [i]
      - Niederreiter sequence [i]
  2. digital (1, 12, 150)-net over F₁₂₈, using
    - net from sequence [i] based on digital (1, 149)-sequence over F₁₂₈, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 1 and N(F) ≥ 150, using
        a function field by SÃ©mirat [i]
digital (21, 43, 1489)-net over F₁₂₈, using
- net defined by OOA [i] based on linear OOA(128⁴³, 1489, F₁₂₈, 22, 22) (dual of [(1489, 22), 32715, 23]-NRT-code), using
  - OA 11-folding and stacking [i] based on linear OA(128⁴³, 16379, F₁₂₈, 22) (dual of [16379, 16336, 23]-code), using
    - discarding factors / shortening the dual code based on linear OA(128⁴³, 16384, F₁₂₈, 22) (dual of [16384, 16341, 23]-code), using
      - an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 16383Â = 128²âˆ’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.