MinT - Information on Result #1025151

Information on Result #1025151

Linear OOA(2²¹², 75, F₂, 3, 109) (dual of [(75, 3), 13, 110]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁴, 19, F₂, 3, 25) (dual of [(19, 3), 13, 26]-NRT-code), using
- algebraic-geometric NRT-code AG(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]
linear OOA(2¹⁵⁵, 56, F₂, 3, 83) (dual of [(56, 3), 13, 84]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁷², 28, F₂, 3, 41) (dual of [(28, 3), 12, 42]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2³¹, 14, F₂, 3, 20) (dual of [(14, 3), 11, 21]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]
      2. linear OOA(2⁴¹, 14, F₂, 3, 41) (dual of [(14, 3), 1, 42]-NRT-code), using
        dual of repetition NRT-code with length 14 [i]
  2. linear OOA(2⁸³, 28, F₂, 3, 83) (dual of [(28, 3), 1, 84]-NRT-code), using
    - dual of repetition NRT-code with length 28 [i]

Mode: Constructive and linear.

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