MinT - Information on Result #1213500

Information on Result #1213500

Digital (107, 119, 2796210)-net over F₅, using (u,Â u+v)-construction based on

digital (1, 7, 10)-net over F₅, using
- net from sequence [i] based on digital (1, 9)-sequence over F₅, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₅ with g(F) = 1 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
digital (100, 112, 2796200)-net over F₅, using
- net defined by OOA [i] based on linear OOA(5¹¹², 2796200, F₅, 14, 12) (dual of [(2796200, 14), 39146688, 13]-NRT-code), using
  - OOA 3-folding and stacking with additional row [i] based on linear OOA(5¹¹², 8388601, F₅, 2, 12) (dual of [(8388601, 2), 16777090, 13]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(5¹¹², 8388602, F₅, 2, 12) (dual of [(8388602, 2), 16777092, 13]-NRT-code), using
      - trace code [i] based on linear OOA(25⁵⁶, 4194301, F₂₅, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
        OOA 2-folding [i] based on linear OA(25⁵⁶, 8388602, F₂₅, 12) (dual of [8388602, 8388546, 13]-code), using
        discarding factors / shortening the dual code based on linear OA(25⁵⁶, large, F₂₅, 12) (dual of [large, large−56, 13]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 25⁵âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]

Mode: Constructive and linear.

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