MinT - Information on Result #1025281

Information on Result #1025281

Linear OOA(2²³⁹, 83, F₂, 3, 129) (dual of [(83, 3), 10, 130]-NRT-code), using juxtaposition based on

linear OOA(2²⁶, 12, F₂, 3, 17) (dual of [(12, 3), 10, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²⁰³, 71, F₂, 3, 111) (dual of [(71, 3), 10, 112]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²³, 11, F₂, 3, 15) (dual of [(11, 3), 10, 16]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₂ with g(F) = 8 and N(F) ≥ 11, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹⁷⁰, 60, F₂, 3, 95) (dual of [(60, 3), 10, 96]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(2⁵⁰, 20, F₂, 3, 31) (dual of [(20, 3), 10, 32]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,28P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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