MinT - Information on Result #1080680

Information on Result #1080680

Linear OOA(2²⁵⁰, 73, F₂, 4, 109) (dual of [(73, 4), 42, 110]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹³, 33, F₂, 4, 54) (dual of [(33, 4), 39, 55]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,77P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁵⁷, 40, F₂, 4, 109) (dual of [(40, 4), 3, 110]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2¹⁵⁷, 80, F₂, 2, 109) (dual of [(80, 2), 3, 110]-NRT-code), using
  - strength reduction [i] based on linear OOA(2¹⁵⁷, 80, F₂, 2, 111) (dual of [(80, 2), 3, 112]-NRT-code), using
    - repeating each code word 16 times [i] based on linear OOA(2⁷, 5, F₂, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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