MinT - Information on Result #1020677

Information on Result #1020677

Linear OOA(3²⁴⁹, 100, F₃, 3, 121) (dual of [(100, 3), 51, 122]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁶¹, 32, F₃, 3, 40) (dual of [(32, 3), 35, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,55P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3⁸⁶, 34, F₃, 3, 60) (dual of [(34, 3), 16, 61]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁸⁶, 35, F₃, 3, 60) (dual of [(35, 3), 19, 61]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,44P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁰², 34, F₃, 3, 102) (dual of [(34, 3), 0, 103]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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