MinT - Information on Result #1025209

Information on Result #1025209

Linear OOA(2²²⁰, 77, F₂, 3, 116) (dual of [(77, 3), 11, 117]-NRT-code), using juxtaposition based on

linear OOA(2³¹, 14, F₂, 3, 20) (dual of [(14, 3), 11, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,21P) [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(2¹⁷⁸, 63, F₂, 3, 95) (dual of [(63, 3), 11, 96]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁸³, 31, F₂, 3, 47) (dual of [(31, 3), 10, 48]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2³⁶, 15, F₂, 3, 23) (dual of [(15, 3), 9, 24]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, using
        an explicitly constructive algebraic function field [i]
      2. linear OOA(2⁴⁷, 16, F₂, 3, 47) (dual of [(16, 3), 1, 48]-NRT-code), using
        dual of repetition NRT-code with length 16 [i]
  2. linear OOA(2⁹⁵, 32, F₂, 3, 95) (dual of [(32, 3), 1, 96]-NRT-code), using
    - dual of repetition NRT-code with length 32 [i]

Mode: Constructive and linear.

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