MinT - Information on Result #908954

Information on Result #908954

Linear OOA(2¹¹⁴, 59, F₂, 2, 72) (dual of [(59, 2), 4, 73]-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(2¹⁰², 53, F₂, 2, 65) (dual of [(53, 2), 4, 66]-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(2⁹², 48, F₂, 2, 59) (dual of [(48, 2), 4, 60]-NRT-code), using
    - repeating each code word 6 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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