MinT - Information on Result #1025372

Information on Result #1025372

Linear OOA(2²¹⁹, 76, F₂, 3, 123) (dual of [(76, 3), 9, 124]-NRT-code), using juxtaposition based on

linear OOA(2²¹, 10, F₂, 3, 15) (dual of [(10, 3), 9, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,14P) [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(2¹⁸⁹, 66, F₂, 3, 107) (dual of [(66, 3), 9, 108]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²¹, 10, F₂, 3, 15) (dual of [(10, 3), 9, 16]-NRT-code) (see above)
  2. linear OOA(2¹⁵⁹, 56, F₂, 3, 91) (dual of [(56, 3), 9, 92]-NRT-code), using
    - repeating each code word 4 times [i] based on linear OOA(2³³, 14, F₂, 3, 22) (dual of [(14, 3), 9, 23]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,19P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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