MinT - Information on Result #908829

Information on Result #908829

Linear OOA(2¹⁴⁵, 75, F₂, 2, 82) (dual of [(75, 2), 5, 83]-NRT-code), using juxtaposition based on

linear OOA(2⁷, 6, F₂, 2, 5) (dual of [(6, 2), 5, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,6P) [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(2¹³³, 69, F₂, 2, 76) (dual of [(69, 2), 5, 77]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁵, 5, F₂, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,5P) [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(2¹²³, 64, F₂, 2, 71) (dual of [(64, 2), 5, 72]-NRT-code), using
    - repeating each code word 8 times [i] based on linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code), using
      - an explicit generator matrix by Edel [i]

Mode: Constructive and linear.

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