MinT - Information on Result #908793

Information on Result #908793

Linear OOA(2¹¹³, 59, F₂, 2, 64) (dual of [(59, 2), 5, 65]-NRT-code), using juxtaposition based on

linear OOA(2⁵, 5, F₂, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,5P) [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(2¹⁰³, 54, F₂, 2, 59) (dual of [(54, 2), 5, 60]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(2³¹, 18, F₂, 2, 19) (dual of [(18, 2), 5, 20]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
      - an explicit generator matrix by Edel [i]
    2. linear OOA(2¹⁹, 10, F₂, 2, 19) (dual of [(10, 2), 1, 20]-NRT-code), using
      - dual of repetition NRT-code with length 10 [i]

Mode: Constructive and linear.

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