MinT - Information on Result #908707

Information on Result #908707

Linear OOA(2¹³⁶, 71, F₂, 2, 72) (dual of [(71, 2), 6, 73]-NRT-code), using juxtaposition based on

linear OOA(2¹², 9, F₂, 2, 8) (dual of [(9, 2), 6, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 12, 9)-net over F₂, using
  - linear code embedding found in a computer search [i]
linear OOA(2¹¹⁸, 62, F₂, 2, 63) (dual of [(62, 2), 6, 64]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁵⁵, 30, F₂, 2, 31) (dual of [(30, 2), 5, 32]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2²⁴, 14, F₂, 2, 15) (dual of [(14, 2), 4, 16]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2⁹, 6, F₂, 2, 7) (dual of [(6, 2), 3, 8]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
        an explicitly constructive algebraic function field [i]
        linear OOA(2¹⁵, 8, F₂, 2, 15) (dual of [(8, 2), 1, 16]-NRT-code), using
        dual of repetition NRT-code with length 8 [i]
      2. linear OOA(2³¹, 16, F₂, 2, 31) (dual of [(16, 2), 1, 32]-NRT-code), using
        dual of repetition NRT-code with length 16 [i]
  2. linear OOA(2⁶³, 32, F₂, 2, 63) (dual of [(32, 2), 1, 64]-NRT-code), using
    - dual of repetition NRT-code with length 32 [i]

Mode: Constructive and linear.

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