MinT - Information on Result #1025138

Information on Result #1025138

Linear OOA(2¹⁴⁹, 54, F₂, 3, 78) (dual of [(54, 3), 13, 79]-NRT-code), using juxtaposition based on

linear OOA(2²⁹, 14, F₂, 3, 18) (dual of [(14, 3), 13, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁰⁷, 40, F₂, 3, 59) (dual of [(40, 3), 13, 60]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁸, 20, F₂, 3, 29) (dual of [(20, 3), 12, 30]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,30P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁵⁹, 20, F₂, 3, 59) (dual of [(20, 3), 1, 60]-NRT-code), using
    - dual of repetition NRT-code with length 20 [i]

Mode: Constructive and linear.

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