MinT - Information on Result #1025188

Information on Result #1025188

Linear OOA(2²¹⁰, 74, F₂, 3, 110) (dual of [(74, 3), 12, 111]-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(2¹⁵⁰, 54, F₂, 3, 80) (dual of [(54, 3), 12, 81]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁴⁸, 20, F₂, 3, 29) (dual of [(20, 3), 12, 30]-NRT-code) (see above)
  2. linear OOA(2⁹⁰, 34, F₂, 3, 50) (dual of [(34, 3), 12, 51]-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(2⁵⁰, 17, F₂, 3, 50) (dual of [(17, 3), 1, 51]-NRT-code), using
        dual of repetition NRT-code with length 17 [i]

Mode: Constructive and linear.

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