MinT - Information on Result #1025241

Information on Result #1025241

Linear OOA(2²³², 81, F₂, 3, 124) (dual of [(81, 3), 11, 125]-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(2¹⁷², 61, F₂, 3, 93) (dual of [(61, 3), 11, 94]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁴⁹, 20, F₂, 3, 30) (dual of [(20, 3), 11, 31]-NRT-code) (see above)
  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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