MinT - Information on Result #1025615

Information on Result #1025615

Linear OOA(2¹¹⁷, 41, F₂, 3, 76) (dual of [(41, 3), 6, 77]-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(2⁹⁶, 34, F₂, 3, 63) (dual of [(34, 3), 6, 64]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁵, 7, F₂, 3, 12) (dual of [(7, 3), 6, 13]-NRT-code) (see above)
  2. linear OOA(2⁷⁵, 27, F₂, 3, 50) (dual of [(27, 3), 6, 51]-NRT-code), using
    - repeating each code word 3 times [i] based on 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]

Mode: Constructive and linear.

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