MinT - Information on Result #908930

Information on Result #908930

Linear OOA(2¹⁶⁰, 82, F₂, 2, 101) (dual of [(82, 2), 4, 102]-NRT-code), using juxtaposition based on

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]
linear OOA(2¹⁵⁰, 77, F₂, 2, 95) (dual of [(77, 2), 4, 96]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code) (see above)
  2. linear OOA(2¹⁴⁰, 72, F₂, 2, 89) (dual of [(72, 2), 4, 90]-NRT-code), using
    - repeating each code word 9 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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