MinT - Information on Result #1025240

Information on Result #1025240

Linear OOA(2²²³, 78, F₂, 3, 119) (dual of [(78, 3), 11, 120]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁹, 20, F₂, 3, 30) (dual of [(20, 3), 11, 31]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,29P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁶³, 58, F₂, 3, 88) (dual of [(58, 3), 11, 89]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁴⁰, 17, F₂, 3, 25) (dual of [(17, 3), 11, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,25P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹¹², 41, F₂, 3, 62) (dual of [(41, 3), 11, 63]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2⁵⁰, 20, F₂, 3, 31) (dual of [(20, 3), 10, 32]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,28P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20 (see above)
      2. linear OOA(2⁶², 21, F₂, 3, 62) (dual of [(21, 3), 1, 63]-NRT-code), using
        dual of repetition NRT-code with length 21 [i]

Mode: Constructive and linear.

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