MinT - Information on Result #908946

Information on Result #908946

Linear OOA(2⁵⁰, 27, F₂, 2, 32) (dual of [(27, 2), 4, 33]-NRT-code), using juxtaposition based on

linear OOA(2⁸, 6, F₂, 2, 6) (dual of [(6, 2), 4, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2³⁸, 21, F₂, 2, 25) (dual of [(21, 2), 4, 26]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2²⁸, 16, F₂, 2, 19) (dual of [(16, 2), 4, 20]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
      - an explicit generator matrix by Edel [i]

Mode: Constructive and linear.

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