MinT - Information on Result #1025404

Information on Result #1025404

Linear OOA(2²⁴⁹, 86, F₂, 3, 140) (dual of [(86, 3), 9, 141]-NRT-code), using juxtaposition based on

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, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²⁰⁷, 72, F₂, 3, 117) (dual of [(72, 3), 9, 118]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²⁷, 12, F₂, 3, 18) (dual of [(12, 3), 9, 19]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹⁷¹, 60, F₂, 3, 98) (dual of [(60, 3), 9, 99]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(2⁵¹, 20, F₂, 3, 32) (dual of [(20, 3), 9, 33]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,27P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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