MinT - Information on Result #1025293

Information on Result #1025293

Linear OOA(2¹⁶¹, 57, F₂, 3, 88) (dual of [(57, 3), 10, 89]-NRT-code), using juxtaposition based on

linear OOA(2³², 14, F₂, 3, 21) (dual of [(14, 3), 10, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,20P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹¹⁹, 43, F₂, 3, 66) (dual of [(43, 3), 10, 67]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³², 14, F₂, 3, 21) (dual of [(14, 3), 10, 22]-NRT-code) (see above)
  2. linear OOA(2⁷⁷, 29, F₂, 3, 44) (dual of [(29, 3), 10, 45]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2³³, 14, F₂, 3, 22) (dual of [(14, 3), 9, 23]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,19P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14 (see above)
      2. linear OOA(2⁴⁴, 15, F₂, 3, 44) (dual of [(15, 3), 1, 45]-NRT-code), using
        dual of repetition NRT-code with length 15 [i]

Mode: Constructive and linear.

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