MinT - Information on Result #908789

Information on Result #908789

Linear OOA(2⁹⁵, 50, F₂, 2, 54) (dual of [(50, 2), 5, 55]-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(2⁸⁵, 45, F₂, 2, 49) (dual of [(45, 2), 5, 50]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁵, 5, F₂, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code) (see above)
  2. linear OOA(2⁷⁵, 40, F₂, 2, 44) (dual of [(40, 2), 5, 45]-NRT-code), using
    - repeating each code word 5 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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