MinT - Information on Result #908780

Information on Result #908780

Linear OOA(2³⁵, 20, F₂, 2, 20) (dual of [(20, 2), 5, 21]-NRT-code), using juxtaposition based on

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]
linear OOA(2²⁵, 15, F₂, 2, 15) (dual of [(15, 2), 5, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2²⁵, 16, F₂, 2, 15) (dual of [(16, 2), 7, 16]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2¹⁰, 8, F₂, 2, 7) (dual of [(8, 2), 6, 8]-NRT-code), using
      - an explicit generator matrix by Edel [i]
    2. linear OOA(2¹⁵, 8, F₂, 2, 15) (dual of [(8, 2), 1, 16]-NRT-code), using
      - dual of repetition NRT-code with length 8 [i]

Mode: Constructive and linear.

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