MinT - Information on Result #1025158

Information on Result #1025158

Linear OOA(2²⁵⁷, 90, F₂, 3, 132) (dual of [(90, 3), 13, 133]-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(2¹⁹⁷, 70, F₂, 3, 103) (dual of [(70, 3), 13, 104]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁹³, 35, F₂, 3, 51) (dual of [(35, 3), 12, 52]-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(2⁵³, 18, F₂, 3, 51) (dual of [(18, 3), 1, 52]-NRT-code), using
        strength reduction [i] based on 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(2¹⁰⁴, 35, F₂, 3, 103) (dual of [(35, 3), 1, 104]-NRT-code), using
    - strength reduction [i] based on linear OOA(2¹⁰⁴, 35, F₂, 3, 104) (dual of [(35, 3), 1, 105]-NRT-code), using
      - dual of repetition NRT-code with length 35 [i]

Mode: Constructive and linear.

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