MinT - Information on Result #1120808

Information on Result #1120808

Linear OOA(2²¹⁷, 45, F₂, 5, 165) (dual of [(45, 5), 8, 166]-NRT-code), using juxtaposition based on

linear OOA(2³⁷, 9, F₂, 5, 32) (dual of [(9, 5), 8, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,12P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁷², 36, F₂, 5, 132) (dual of [(36, 5), 8, 133]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³², 8, F₂, 5, 28) (dual of [(8, 5), 8, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,11P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹³², 28, F₂, 5, 103) (dual of [(28, 5), 8, 104]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2⁶², 14, F₂, 5, 51) (dual of [(14, 5), 8, 52]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,18P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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