MinT - Information on Result #1025526

Information on Result #1025526

Linear OOA(2⁹², 33, F₂, 3, 57) (dual of [(33, 3), 7, 58]-NRT-code), using juxtaposition based on

linear OOA(2¹⁷, 8, F₂, 3, 13) (dual of [(8, 3), 7, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;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(2⁶⁸, 25, F₂, 3, 43) (dual of [(25, 3), 7, 44]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁴, 7, F₂, 3, 11) (dual of [(7, 3), 7, 12]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;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(2⁴⁷, 18, F₂, 3, 31) (dual of [(18, 3), 7, 32]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2²⁰, 9, F₂, 3, 15) (dual of [(9, 3), 7, 16]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;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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