MinT - Information on Result #1086833

Information on Result #1086833

Linear OOA(2²¹⁹, 57, F₂, 4, 149) (dual of [(57, 4), 9, 150]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁷, 14, F₂, 4, 36) (dual of [(14, 4), 9, 37]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;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(2¹⁶³, 43, F₂, 4, 112) (dual of [(43, 4), 9, 113]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²⁷, 9, F₂, 4, 22) (dual of [(9, 4), 9, 23]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,13P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹²⁷, 34, F₂, 4, 89) (dual of [(34, 4), 9, 90]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2⁵⁹, 17, F₂, 4, 44) (dual of [(17, 4), 9, 45]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,23P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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