MinT - Information on Result #1025366

Information on Result #1025366

Linear OOA(2¹⁸³, 64, F₂, 3, 103) (dual of [(64, 3), 9, 104]-NRT-code), using juxtaposition based on

linear OOA(2²¹, 10, F₂, 3, 15) (dual of [(10, 3), 9, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,14P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁵³, 54, F₂, 3, 87) (dual of [(54, 3), 9, 88]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²¹, 10, F₂, 3, 15) (dual of [(10, 3), 9, 16]-NRT-code) (see above)
  2. linear OOA(2¹²³, 44, F₂, 3, 71) (dual of [(44, 3), 9, 72]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2²¹, 10, F₂, 3, 15) (dual of [(10, 3), 9, 16]-NRT-code) (see above)
      2. linear OOA(2⁹³, 34, F₂, 3, 55) (dual of [(34, 3), 9, 56]-NRT-code), using
        repeating each code word 2 times [i] based on linear OOA(2⁴², 17, F₂, 3, 27) (dual of [(17, 3), 9, 28]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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None.