MinT - Information on Result #1025342

Information on Result #1025342

Linear OOA(2²¹³, 74, F₂, 3, 119) (dual of [(74, 3), 9, 120]-NRT-code), using juxtaposition based on

linear OOA(2¹⁸, 9, F₂, 3, 13) (dual of [(9, 3), 9, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁸⁶, 65, F₂, 3, 105) (dual of [(65, 3), 9, 106]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁸, 9, F₂, 3, 13) (dual of [(9, 3), 9, 14]-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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