MinT - Information on Result #1234536

Information on Result #1234536

Digital (40, 62, 842)-net over F₈₁, using (u,Â u+v)-construction based on

digital (8, 19, 246)-net over F₈₁, using
- generalized (u,Â u+v)-construction [i] based on
  1. digital (0, 3, 82)-net over F₈₁, using
    - net from sequence [i] based on digital (0, 81)-sequence over F₈₁, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 0 and N(F) ≥ 82, using
        the rational function field F₈₁(x) [i]
      - Niederreiter sequence [i]
  2. digital (0, 5, 82)-net over F₈₁, using
    - net from sequence [i] based on digital (0, 81)-sequence over F₈₁ (see above)
  3. digital (0, 11, 82)-net over F₈₁, using
    - net from sequence [i] based on digital (0, 81)-sequence over F₈₁ (see above)
digital (21, 43, 596)-net over F₈₁, using
- net defined by OOA [i] based on linear OOA(81⁴³, 596, F₈₁, 22, 22) (dual of [(596, 22), 13069, 23]-NRT-code), using
  - OA 11-folding and stacking [i] based on linear OA(81⁴³, 6556, F₈₁, 22) (dual of [6556, 6513, 23]-code), using
    - discarding factors / shortening the dual code based on linear OA(81⁴³, 6561, F₈₁, 22) (dual of [6561, 6518, 23]-code), using
      - an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 6560Â = 81²âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]

Mode: Constructive and linear.

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None.