MinT - Information on Result #1159614

Information on Result #1159614

Linear OOA(2⁵⁰, 73, F₂, 7, 13) (dual of [(73, 7), 461, 14]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁵, 36, F₂, 7, 6) (dual of [(36, 7), 237, 7]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2¹⁵, 36, F₂, 6, 6) (dual of [(36, 6), 201, 7]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁵, 36, F₂, 5, 6) (dual of [(36, 5), 165, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (9, 15, 36)-net over F₂, using
      - linear code embedding found in a computer search [i]
linear OOA(2³⁵, 37, F₂, 7, 13) (dual of [(37, 7), 224, 14]-NRT-code), using
- extracting embedded OOA [i] based on digital (22, 35, 37)-net over F₂, using
  - 2 times m-reduction [i] based on digital (22, 37, 37)-net over F₂, using
    - a shift-net [i]

Mode: Constructive and linear.

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