MinT - Information on Result #1009974

Information on Result #1009974

Linear OOA(2¹⁴⁶, 50, F₂, 3, 80) (dual of [(50, 3), 4, 81]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶⁶, 23, F₂, 3, 40) (dual of [(23, 3), 3, 41]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁵, 9, F₂, 3, 20) (dual of [(9, 3), 2, 21]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁴¹, 14, F₂, 3, 40) (dual of [(14, 3), 1, 41]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁴¹, 14, F₂, 3, 41) (dual of [(14, 3), 1, 42]-NRT-code), using
      - dual of repetition NRT-code with length 14 [i]
linear OOA(2⁸⁰, 27, F₂, 3, 80) (dual of [(27, 3), 1, 81]-NRT-code), using
- dual of repetition NRT-code with length 27 [i]

Mode: Constructive and linear.

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