MinT - Information on Result #1159879

Information on Result #1159879

Linear OOA(2³⁴, 18, F₂, 7, 17) (dual of [(18, 7), 92, 18]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹², 9, F₂, 7, 8) (dual of [(9, 7), 51, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 12, 9)-net over F₂, using
  - linear code embedding found in a computer search [i]
linear OOA(2²², 9, F₂, 7, 17) (dual of [(9, 7), 41, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(7;F,45P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
  - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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