MinT - Information on Result #1025110

Information on Result #1025110

Linear OOA(2¹²¹, 45, F₂, 3, 60) (dual of [(45, 3), 14, 61]-NRT-code), using juxtaposition based on

linear OOA(2³⁷, 17, F₂, 3, 22) (dual of [(17, 3), 14, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,28P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2⁷⁰, 28, F₂, 3, 37) (dual of [(28, 3), 14, 38]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. 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]
  2. linear OOA(2⁴¹, 14, F₂, 3, 37) (dual of [(14, 3), 1, 38]-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]

Mode: Constructive and linear.

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