MinT - Information on Result #1120842

Information on Result #1120842

Linear OOA(2²²³, 46, F₂, 5, 173) (dual of [(46, 5), 7, 174]-NRT-code), using juxtaposition based on

linear OOA(2³³, 8, F₂, 5, 29) (dual of [(8, 5), 7, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,10P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁸³, 38, F₂, 5, 143) (dual of [(38, 5), 7, 144]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³³, 8, F₂, 5, 29) (dual of [(8, 5), 7, 30]-NRT-code) (see above)
  2. linear OOA(2¹⁴³, 30, F₂, 5, 113) (dual of [(30, 5), 7, 114]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(2⁴³, 10, F₂, 5, 37) (dual of [(10, 5), 7, 38]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,12P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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