MinT - Information on Result #1161580

Information on Result #1161580

Linear OOA(2²²⁴, 33, F₂, 7, 189) (dual of [(33, 7), 7, 190]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁹, 8, F₂, 7, 45) (dual of [(8, 7), 7, 46]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(7;F,10P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁶⁸, 25, F₂, 7, 143) (dual of [(25, 7), 7, 144]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁴², 7, F₂, 7, 39) (dual of [(7, 7), 7, 40]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(7;F,9P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹¹⁹, 18, F₂, 7, 103) (dual of [(18, 7), 7, 104]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2⁵⁶, 9, F₂, 7, 51) (dual of [(9, 7), 7, 52]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(7;F,11P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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