MinT - Information on Result #910655

Information on Result #910655

Linear OOA(9¹⁵⁰, 77, F₉, 2, 134) (dual of [(77, 2), 4, 135]-NRT-code), using juxtaposition based on

linear OOA(9¹⁸, 11, F₉, 2, 17) (dual of [(11, 2), 4, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9¹⁸, 16, F₉, 2, 17) (dual of [(16, 2), 14, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,14P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
    - a function field by GarcÃa and Quoos [i]
linear OOA(9¹²⁸, 66, F₉, 2, 116) (dual of [(66, 2), 4, 117]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(9¹⁶, 10, F₉, 2, 16) (dual of [(10, 2), 4, 17]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;4,9) [i]
  2. linear OOA(9¹⁰⁸, 56, F₉, 2, 99) (dual of [(56, 2), 4, 100]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(9⁵², 28, F₉, 2, 49) (dual of [(28, 2), 4, 50]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,6P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
        the Hermitian function field over F₉ [i]

Mode: Constructive and linear.

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