MinT - Information on Result #1025849

Information on Result #1025849

Linear OOA(3²⁴⁶, 90, F₃, 3, 143) (dual of [(90, 3), 24, 144]-NRT-code), using juxtaposition based on

linear OOA(3⁵⁴, 26, F₃, 3, 39) (dual of [(26, 3), 24, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵⁴, 27, F₃, 3, 39) (dual of [(27, 3), 27, 40]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,41P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁶⁸, 64, F₃, 3, 103) (dual of [(64, 3), 24, 104]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3⁷², 32, F₃, 3, 51) (dual of [(32, 3), 24, 52]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,44P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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