MinT - Information on Result #894698

Information on Result #894698

Linear OOA(2¹³³, 69, F₂, 2, 71) (dual of [(69, 2), 5, 72]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶², 33, F₂, 2, 35) (dual of [(33, 2), 4, 36]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁷, 15, F₂, 2, 17) (dual of [(15, 2), 3, 18]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹⁰, 6, F₂, 2, 8) (dual of [(6, 2), 2, 9]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
        an explicitly constructive algebraic function field [i]
      2. linear OOA(2¹⁷, 9, F₂, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code), using
        dual of repetition NRT-code with length 9 [i]
  2. linear OOA(2³⁵, 18, F₂, 2, 35) (dual of [(18, 2), 1, 36]-NRT-code), using
    - dual of repetition NRT-code with length 18 [i]
linear OOA(2⁷¹, 36, F₂, 2, 71) (dual of [(36, 2), 1, 72]-NRT-code), using
- dual of repetition NRT-code with length 36 [i]

Mode: Constructive and linear.

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