MinT - Information on Result #1025045

Information on Result #1025045

Linear OOA(2²⁴¹, 86, F₂, 3, 114) (dual of [(86, 3), 17, 115]-NRT-code), using juxtaposition based on

linear OOA(2⁴³, 20, F₂, 3, 24) (dual of [(20, 3), 17, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,35P) [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(2¹⁸¹, 66, F₂, 3, 89) (dual of [(66, 3), 17, 90]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁸³, 33, F₂, 3, 44) (dual of [(33, 3), 16, 45]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,54P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁹⁸, 33, F₂, 3, 89) (dual of [(33, 3), 1, 90]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁹⁸, 33, F₂, 3, 98) (dual of [(33, 3), 1, 99]-NRT-code), using
      - dual of repetition NRT-code with length 33 [i]

Mode: Constructive and linear.

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