MinT - Information on Result #1025181

Information on Result #1025181

Linear OOA(2²⁵², 88, F₂, 3, 132) (dual of [(88, 3), 12, 133]-NRT-code), using juxtaposition based on

linear OOA(2³⁹, 17, F₂, 3, 24) (dual of [(17, 3), 12, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,26P) [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(2²⁰¹, 71, F₂, 3, 107) (dual of [(71, 3), 12, 108]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁹⁴, 35, F₂, 3, 53) (dual of [(35, 3), 11, 54]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2⁴¹, 17, F₂, 3, 26) (dual of [(17, 3), 10, 27]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17 (see above)
      2. linear OOA(2⁵³, 18, F₂, 3, 53) (dual of [(18, 3), 1, 54]-NRT-code), using
        dual of repetition NRT-code with length 18 [i]
  2. linear OOA(2¹⁰⁷, 36, F₂, 3, 107) (dual of [(36, 3), 1, 108]-NRT-code), using
    - dual of repetition NRT-code with length 36 [i]

Mode: Constructive and linear.

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