MinT - Information on Result #1025077

Information on Result #1025077

Linear OOA(2²⁵⁸, 91, F₂, 3, 121) (dual of [(91, 3), 15, 122]-NRT-code), using juxtaposition based on

linear OOA(2³⁰, 15, F₂, 3, 17) (dual of [(15, 3), 15, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,27P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²¹³, 76, F₂, 3, 103) (dual of [(76, 3), 15, 104]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁰⁰, 38, F₂, 3, 51) (dual of [(38, 3), 14, 52]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2⁴⁴, 20, F₂, 3, 25) (dual of [(20, 3), 16, 26]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,34P) [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(2⁵⁶, 19, F₂, 3, 51) (dual of [(19, 3), 1, 52]-NRT-code), using
        strength reduction [i] based on linear OOA(2⁵⁶, 19, F₂, 3, 56) (dual of [(19, 3), 1, 57]-NRT-code), using
        dual of repetition NRT-code with length 19 [i]
  2. linear OOA(2¹¹³, 38, F₂, 3, 103) (dual of [(38, 3), 1, 104]-NRT-code), using
    - strength reduction [i] based on linear OOA(2¹¹³, 38, F₂, 3, 113) (dual of [(38, 3), 1, 114]-NRT-code), using
      - dual of repetition NRT-code with length 38 [i]

Mode: Constructive and linear.

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