MinT - Information on Result #906183

Information on Result #906183

Linear OOA(3⁴⁸, 35, F₃, 2, 23) (dual of [(35, 2), 22, 24]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3¹⁰, 11, F₃, 2, 7) (dual of [(11, 2), 12, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 10, 11)-net over F₃, using
  - linear code embedding found in a computer search [i]
linear OOA(3¹⁵, 12, F₃, 2, 11) (dual of [(12, 2), 9, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,12P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3²³, 12, F₃, 2, 23) (dual of [(12, 2), 1, 24]-NRT-code), using
- dual of repetition NRT-code with length 12 [i]

Mode: Constructive and linear.

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