MinT - Information on Result #908688

Information on Result #908688

Linear OOA(2¹⁷², 89, F₂, 2, 91) (dual of [(89, 2), 6, 92]-NRT-code), using juxtaposition based on

linear OOA(2¹⁰, 8, F₂, 2, 7) (dual of [(8, 2), 6, 8]-NRT-code), using
- an explicit generator matrix by Edel [i]
linear OOA(2¹⁵⁶, 81, F₂, 2, 83) (dual of [(81, 2), 6, 84]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(2⁴⁸, 27, F₂, 2, 27) (dual of [(27, 2), 6, 28]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2²¹, 13, F₂, 2, 13) (dual of [(13, 2), 5, 14]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(2⁸, 6, F₂, 2, 6) (dual of [(6, 2), 4, 7]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,5P) [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(2¹³, 7, F₂, 2, 13) (dual of [(7, 2), 1, 14]-NRT-code), using
        dual of repetition NRT-code with length 7 [i]
    2. linear OOA(2²⁷, 14, F₂, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
      - dual of repetition NRT-code with length 14 [i]

Mode: Constructive and linear.

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