MinT - Information on Result #1026048

Information on Result #1026048

Linear OOA(3¹⁰⁸, 41, F₃, 3, 72) (dual of [(41, 3), 15, 73]-NRT-code), using juxtaposition based on

linear OOA(3³⁰, 15, F₃, 3, 23) (dual of [(15, 3), 15, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3³⁰, 16, F₃, 3, 23) (dual of [(16, 3), 18, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3⁶³, 26, F₃, 3, 48) (dual of [(26, 3), 15, 49]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶³, 27, F₃, 3, 48) (dual of [(27, 3), 18, 49]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,32P) [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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