MinT - Information on Result #1086853

Information on Result #1086853

Linear OOA(2¹⁸⁰, 47, F₂, 4, 124) (dual of [(47, 4), 8, 125]-NRT-code), using juxtaposition based on

linear OOA(2²⁴, 8, F₂, 4, 20) (dual of [(8, 4), 8, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,11P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁴⁸, 39, F₂, 4, 103) (dual of [(39, 4), 8, 104]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹⁴⁸, 39, F₂, 4, 104) (dual of [(39, 4), 8, 105]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2²⁸, 9, F₂, 4, 23) (dual of [(9, 4), 8, 24]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,12P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(2¹¹², 30, F₂, 4, 80) (dual of [(30, 4), 8, 81]-NRT-code), using
      - repeating each code word 3 times [i] based on linear OOA(2³², 10, F₂, 4, 26) (dual of [(10, 4), 8, 27]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,13P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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