MinT - Information on Result #1010287

Information on Result #1010287

Linear OOA(2²¹⁸, 74, F₂, 3, 118) (dual of [(74, 3), 4, 119]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹⁹, 34, F₂, 3, 59) (dual of [(34, 3), 3, 60]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁰, 14, F₂, 3, 29) (dual of [(14, 3), 2, 30]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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]
linear OOA(2¹¹⁹, 40, F₂, 3, 118) (dual of [(40, 3), 1, 119]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹¹⁹, 40, F₂, 3, 119) (dual of [(40, 3), 1, 120]-NRT-code), using
  - dual of repetition NRT-code with length 40 [i]

Mode: Constructive and linear.

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