MinT - Information on Result #894756

Information on Result #894756

Linear OOA(2¹⁷², 89, F₂, 2, 89) (dual of [(89, 2), 6, 90]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸³, 44, F₂, 2, 44) (dual of [(44, 2), 5, 45]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁹, 22, F₂, 2, 22) (dual of [(22, 2), 5, 23]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹⁷, 11, F₂, 2, 11) (dual of [(11, 2), 5, 12]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
        an explicitly constructive algebraic function field [i]
        linear OOA(2¹¹, 6, F₂, 2, 11) (dual of [(6, 2), 1, 12]-NRT-code), using
        dual of repetition NRT-code with length 6 [i]
      2. linear OOA(2²², 11, F₂, 2, 22) (dual of [(11, 2), 0, 23]-NRT-code), using
        complete OOA / dual of NRT-code with only one code word [i]
  2. linear OOA(2⁴⁴, 22, F₂, 2, 44) (dual of [(22, 2), 0, 45]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2⁸⁹, 45, F₂, 2, 89) (dual of [(45, 2), 1, 90]-NRT-code), using
- dual of repetition NRT-code with length 45 [i]

Mode: Constructive and linear.

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