MinT - Information on Result #1025256

Information on Result #1025256

Linear OOA(2¹⁵², 54, F₂, 3, 83) (dual of [(54, 3), 10, 84]-NRT-code), using juxtaposition based on

linear OOA(2²⁰, 10, F₂, 3, 14) (dual of [(10, 3), 10, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹²², 44, F₂, 3, 68) (dual of [(44, 3), 10, 69]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²⁰, 10, F₂, 3, 14) (dual of [(10, 3), 10, 15]-NRT-code) (see above)
  2. linear OOA(2⁹², 34, F₂, 3, 53) (dual of [(34, 3), 10, 54]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2⁴¹, 17, F₂, 3, 26) (dual of [(17, 3), 10, 27]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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