MinT - Information on Result #908664

Information on Result #908664

Linear OOA(2¹⁵⁸, 82, F₂, 2, 84) (dual of [(82, 2), 6, 85]-NRT-code), using juxtaposition based on

linear OOA(2⁶, 6, F₂, 2, 4) (dual of [(6, 2), 6, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,7P) [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(2¹⁴⁶, 76, F₂, 2, 79) (dual of [(76, 2), 6, 80]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(2⁷⁰, 38, F₂, 2, 39) (dual of [(38, 2), 6, 40]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2³¹, 18, F₂, 2, 19) (dual of [(18, 2), 5, 20]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
        an explicit generator matrix by Edel [i]
        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]
    2. linear OOA(2³⁹, 20, F₂, 2, 39) (dual of [(20, 2), 1, 40]-NRT-code), using
      - dual of repetition NRT-code with length 20 [i]

Mode: Constructive and linear.

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