MinT - Information on Result #1025619

Information on Result #1025619

Linear OOA(2¹⁵³, 53, F₂, 3, 99) (dual of [(53, 3), 6, 100]-NRT-code), using juxtaposition based on

linear OOA(2¹⁵, 7, F₂, 3, 12) (dual of [(7, 3), 6, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹³², 46, F₂, 3, 86) (dual of [(46, 3), 6, 87]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹², 6, F₂, 3, 10) (dual of [(6, 3), 6, 11]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹¹⁴, 40, F₂, 3, 75) (dual of [(40, 3), 6, 76]-NRT-code), using
    - repeating each code word 4 times [i] based on linear OOA(2²⁴, 10, F₂, 3, 18) (dual of [(10, 3), 6, 19]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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