MinT - Information on Result #909127

Information on Result #909127

Linear OOA(3¹⁸⁸, 97, F₃, 2, 126) (dual of [(97, 2), 6, 127]-NRT-code), using juxtaposition based on

linear OOA(3²⁰, 13, F₃, 2, 15) (dual of [(13, 2), 6, 16]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 20, 13)-net over F₃, using
  - net from sequence [i] based on digital (5, 12)-sequence over F₃, using
    - Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 4, N(F)Â =Â 12, and 1 place with degree 2 [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using an explicitly constructive algebraic function field [i]
linear OOA(3¹⁶², 84, F₃, 2, 110) (dual of [(84, 2), 6, 111]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁵¹, 28, F₃, 2, 36) (dual of [(28, 2), 5, 37]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,19P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3⁵⁵, 28, F₃, 2, 55) (dual of [(28, 2), 1, 56]-NRT-code), using
    - dual of repetition NRT-code with length 28 [i]
  3. linear OOA(3⁵⁶, 28, F₃, 2, 56) (dual of [(28, 2), 0, 57]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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