MinT - Information on Result #1175655

Information on Result #1175655

Linear OOA(2⁵⁰, 56, F₂, 8, 15) (dual of [(56, 8), 398, 16]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁴, 20, F₂, 8, 7) (dual of [(20, 8), 146, 8]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2¹⁴, 20, F₂, 7, 7) (dual of [(20, 7), 126, 8]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁴, 20, F₂, 6, 7) (dual of [(20, 6), 106, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (7, 14, 20)-net over F₂, using
      - linear code embedding found in a computer search [i]
linear OOA(2³⁶, 36, F₂, 8, 15) (dual of [(36, 8), 252, 16]-NRT-code), using
- extracting embedded OOA [i] based on digital (21, 36, 36)-net over F₂, using
  - a shift-net [i]

Mode: Constructive and linear.

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