MinT - Information on Result #908802

Information on Result #908802

Linear OOA(2¹⁵⁹, 82, F₂, 2, 90) (dual of [(82, 2), 5, 91]-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(2¹⁴⁹, 77, F₂, 2, 85) (dual of [(77, 2), 5, 86]-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(2¹³⁹, 72, F₂, 2, 80) (dual of [(72, 2), 5, 81]-NRT-code), using
    - repeating each code word 9 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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