MinT - Information on Result #1025157

Information on Result #1025157

Linear OOA(2²⁵¹, 88, F₂, 3, 130) (dual of [(88, 3), 13, 131]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁷, 20, F₂, 3, 28) (dual of [(20, 3), 13, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,31P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁹¹, 68, F₂, 3, 101) (dual of [(68, 3), 13, 102]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁹⁰, 34, F₂, 3, 50) (dual of [(34, 3), 12, 51]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2⁴⁰, 17, F₂, 3, 25) (dual of [(17, 3), 11, 26]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,25P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]
      2. 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]
  2. linear OOA(2¹⁰¹, 34, F₂, 3, 101) (dual of [(34, 3), 1, 102]-NRT-code), using
    - dual of repetition NRT-code with length 34 [i]

Mode: Constructive and linear.

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