MinT - Information on Result #1025189

Information on Result #1025189

Linear OOA(2²⁵⁵, 89, F₂, 3, 133) (dual of [(89, 3), 12, 134]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁸, 20, F₂, 3, 29) (dual of [(20, 3), 12, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,30P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁹⁵, 69, F₂, 3, 103) (dual of [(69, 3), 12, 104]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁹¹, 34, F₂, 3, 51) (dual of [(34, 3), 11, 52]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2⁴⁰, 17, F₂, 3, 25) (dual of [(17, 3), 11, 26]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,25P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]
      2. linear OOA(2⁵¹, 17, F₂, 3, 51) (dual of [(17, 3), 0, 52]-NRT-code), using
        complete OOA / dual of NRT-code with only one code word [i]
  2. linear OOA(2¹⁰⁴, 35, F₂, 3, 103) (dual of [(35, 3), 1, 104]-NRT-code), using
    - strength reduction [i] based on linear OOA(2¹⁰⁴, 35, F₂, 3, 104) (dual of [(35, 3), 1, 105]-NRT-code), using
      - dual of repetition NRT-code with length 35 [i]

Mode: Constructive and linear.

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