MinT - Information on Result #1175365

Information on Result #1175365

Linear OOA(2³⁹, 58, F₂, 8, 11) (dual of [(58, 8), 425, 12]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹², 36, F₂, 8, 5) (dual of [(36, 8), 276, 6]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(2¹², 36, F₂, 5, 5) (dual of [(36, 5), 168, 6]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹², 36, F₂, 4, 5) (dual of [(36, 4), 132, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (7, 12, 36)-net over F₂, using
      - linear code embedding found in a computer search [i]
linear OOA(2²⁷, 29, F₂, 8, 11) (dual of [(29, 8), 205, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (16, 27, 29)-net over F₂, using
  - 2 times m-reduction [i] based on digital (16, 29, 29)-net over F₂, using
    - a shift-net [i]

Mode: Constructive and linear.

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