MinT - Information on Result #1026055

Information on Result #1026055

Linear OOA(3²⁰⁷, 74, F₃, 3, 140) (dual of [(74, 3), 15, 141]-NRT-code), using juxtaposition based on

linear OOA(3³⁹, 18, F₃, 3, 30) (dual of [(18, 3), 15, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3³⁹, 19, F₃, 3, 30) (dual of [(19, 3), 18, 31]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,26P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁵³, 56, F₃, 3, 109) (dual of [(56, 3), 15, 110]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3⁶⁹, 28, F₃, 3, 54) (dual of [(28, 3), 15, 55]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,29P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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