MinT - Information on Result #1175653

Information on Result #1175653

Linear OOA(2³⁵, 23, F₂, 8, 15) (dual of [(23, 8), 149, 16]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹, 11, F₂, 8, 7) (dual of [(11, 8), 77, 8]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2¹¹, 11, F₂, 7, 7) (dual of [(11, 7), 66, 8]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹¹, 11, F₂, 6, 7) (dual of [(11, 6), 55, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (4, 11, 11)-net over F₂, using
      - a shift-net [i]
linear OOA(2²⁴, 12, F₂, 8, 15) (dual of [(12, 8), 72, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;F,80P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
  - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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