MinT - Information on Result #1086954

Information on Result #1086954

Linear OOA(2²⁴¹, 62, F₂, 4, 172) (dual of [(62, 4), 7, 173]-NRT-code), using juxtaposition based on

linear OOA(2³³, 10, F₂, 4, 27) (dual of [(10, 4), 7, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;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]
linear OOA(2²⁰¹, 52, F₂, 4, 144) (dual of [(52, 4), 7, 145]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³³, 10, F₂, 4, 27) (dual of [(10, 4), 7, 28]-NRT-code) (see above)
  2. linear OOA(2¹⁶¹, 42, F₂, 4, 116) (dual of [(42, 4), 7, 117]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(2⁴⁹, 14, F₂, 4, 38) (dual of [(14, 4), 7, 39]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,17P) [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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