MinT - Information on Result #906170

Information on Result #906170

Linear OOA(3⁶⁸, 45, F₃, 2, 32) (dual of [(45, 2), 22, 33]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3¹⁵, 15, F₃, 2, 10) (dual of [(15, 2), 15, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 15, 15)-net over F₃, using
  - a shift-net [i]
linear OOA(3²³, 15, F₃, 2, 16) (dual of [(15, 2), 7, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²³, 16, F₃, 2, 16) (dual of [(16, 2), 9, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,15P) [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(3³⁰, 15, F₃, 2, 30) (dual of [(15, 2), 0, 31]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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