MinT - Information on Result #1210893

Information on Result #1210893

Digital (210, 230, 1677730)-net over F₄, using (u,Â u+v)-construction based on

digital (2, 12, 10)-net over F₄, using
- net from sequence [i] based on digital (2, 9)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 2 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
digital (198, 218, 1677720)-net over F₄, using
- net defined by OOA [i] based on linear OOA(4²¹⁸, 1677720, F₄, 22, 20) (dual of [(1677720, 22), 36909622, 21]-NRT-code), using
  - OOA 5-folding and stacking with additional row [i] based on linear OOA(4²¹⁸, 8388601, F₄, 2, 20) (dual of [(8388601, 2), 16776984, 21]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(4²¹⁸, 8388602, F₄, 2, 20) (dual of [(8388602, 2), 16776986, 21]-NRT-code), using
      - trace code [i] based on linear OOA(16¹⁰⁹, 4194301, F₁₆, 2, 20) (dual of [(4194301, 2), 8388493, 21]-NRT-code), using
        OOA 2-folding [i] based on linear OA(16¹⁰⁹, 8388602, F₁₆, 20) (dual of [8388602, 8388493, 21]-code), using
        discarding factors / shortening the dual code based on linear OA(16¹⁰⁹, large, F₁₆, 20) (dual of [large, large−109, 21]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 16⁶âˆ’1, defining interval IÂ =Â [0,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [i]

Mode: Constructive and linear.

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