MinT - Information on Result #1208130

Information on Result #1208130

Digital (124, 137, 1398146)-net over F₃, using (u,Â u+v)-construction based on

digital (10, 16, 46)-net over F₃, using
- net defined by OOA [i] based on linear OOA(3¹⁶, 46, F₃, 6, 6) (dual of [(46, 6), 260, 7]-NRT-code), using
  - appending kth column [i] based on linear OOA(3¹⁶, 46, F₃, 5, 6) (dual of [(46, 5), 214, 7]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(3³, 4, F₃, 5, 3) (dual of [(4, 5), 17, 4]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(5;17,3) [i]
      2. linear OOA(3¹³, 42, F₃, 5, 6) (dual of [(42, 5), 197, 7]-NRT-code), using
        extracting embedded OOA [i] based on digital (7, 13, 42)-net over F₃, using
        linear code embedding found in a computer search [i]
digital (108, 121, 1398100)-net over F₃, using
- net defined by OOA [i] based on linear OOA(3¹²¹, 1398100, F₃, 13, 13) (dual of [(1398100, 13), 18175179, 14]-NRT-code), using
  - OOA 6-folding and stacking with additional row [i] based on linear OA(3¹²¹, 8388601, F₃, 13) (dual of [8388601, 8388480, 14]-code), using
    - discarding factors / shortening the dual code based on linear OA(3¹²¹, large, F₃, 13) (dual of [large, large−121, 14]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [i]

Mode: Constructive and linear.

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