MinT - Information on Result #1025582

Information on Result #1025582

Linear OOA(2⁶⁹, 25, F₂, 3, 45) (dual of [(25, 3), 6, 46]-NRT-code), using juxtaposition based on

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]
linear OOA(2⁵¹, 19, F₂, 3, 34) (dual of [(19, 3), 6, 35]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁵¹, 19, F₂, 3, 35) (dual of [(19, 3), 6, 36]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2²¹, 9, F₂, 3, 16) (dual of [(9, 3), 6, 17]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,10P) [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(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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