MinT - Information on Result #1010222

Information on Result #1010222

Linear OOA(2²⁰², 69, F₂, 3, 109) (dual of [(69, 3), 5, 110]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹², 32, F₂, 3, 54) (dual of [(32, 3), 4, 55]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁸, 14, F₂, 3, 27) (dual of [(14, 3), 4, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,14P) [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(2⁵⁴, 18, F₂, 3, 54) (dual of [(18, 3), 0, 55]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2¹¹⁰, 37, F₂, 3, 109) (dual of [(37, 3), 1, 110]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹¹⁰, 37, F₂, 3, 110) (dual of [(37, 3), 1, 111]-NRT-code), using
  - dual of repetition NRT-code with length 37 [i]

Mode: Constructive and linear.

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