MinT - Information on Result #1025112

Information on Result #1025112

Linear OOA(2¹³⁹, 51, F₂, 3, 70) (dual of [(51, 3), 14, 71]-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(2⁸⁸, 34, F₂, 3, 47) (dual of [(34, 3), 14, 48]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁸, 17, F₂, 3, 23) (dual of [(17, 3), 13, 24]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,27P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17 (see above)
  2. linear OOA(2⁵⁰, 17, F₂, 3, 47) (dual of [(17, 3), 1, 48]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁵⁰, 17, F₂, 3, 50) (dual of [(17, 3), 1, 51]-NRT-code), using
      - dual of repetition NRT-code with length 17 [i]

Mode: Constructive and linear.

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