MinT - Information on Result #1159605

Information on Result #1159605

Linear OOA(2²⁷, 18, F₂, 7, 13) (dual of [(18, 7), 99, 14]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹, 9, F₂, 7, 6) (dual of [(9, 7), 54, 7]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2⁹, 9, F₂, 6, 6) (dual of [(9, 6), 45, 7]-NRT-code), using
  - appending kth column [i] based on linear OOA(2⁹, 9, F₂, 5, 6) (dual of [(9, 5), 36, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (3, 9, 9)-net over F₂, using
      - a shift-net [i]
linear OOA(2¹⁸, 9, F₂, 7, 13) (dual of [(9, 7), 45, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(7;F,49P) [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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