MinT - Information on Result #1025116

Information on Result #1025116

Linear OOA(2²⁰⁸, 74, F₂, 3, 103) (dual of [(74, 3), 14, 104]-NRT-code), using juxtaposition based on

linear OOA(2³⁷, 17, F₂, 3, 22) (dual of [(17, 3), 14, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,28P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁵⁷, 57, F₂, 3, 80) (dual of [(57, 3), 14, 81]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³⁷, 17, F₂, 3, 22) (dual of [(17, 3), 14, 23]-NRT-code) (see above)
  2. linear OOA(2¹⁰⁶, 40, F₂, 3, 57) (dual of [(40, 3), 14, 58]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2⁴⁷, 20, F₂, 3, 28) (dual of [(20, 3), 13, 29]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,31P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
        an explicitly constructive algebraic function field [i]
      2. linear OOA(2⁵⁹, 20, F₂, 3, 57) (dual of [(20, 3), 1, 58]-NRT-code), using
        strength reduction [i] based on linear OOA(2⁵⁹, 20, F₂, 3, 59) (dual of [(20, 3), 1, 60]-NRT-code), using
        dual of repetition NRT-code with length 20 [i]

Mode: Constructive and linear.

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