MinT - Information on Result #1175662

Information on Result #1175662

Linear OOA(2⁵⁸, 82, F₂, 8, 15) (dual of [(82, 8), 598, 16]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁸, 41, F₂, 8, 7) (dual of [(41, 8), 310, 8]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2¹⁸, 41, F₂, 7, 7) (dual of [(41, 7), 269, 8]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁸, 41, F₂, 6, 7) (dual of [(41, 6), 228, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (11, 18, 41)-net over F₂, using
      - linear code embedding found in a computer search [i]
linear OOA(2⁴⁰, 41, F₂, 8, 15) (dual of [(41, 8), 288, 16]-NRT-code), using
- extracting embedded OOA [i] based on digital (25, 40, 41)-net over F₂, using
  - 1 times m-reduction [i] based on digital (25, 41, 41)-net over F₂, using
    - a shift-net [i]

Mode: Constructive and linear.

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