MinT - Information on Result #1159429

Information on Result #1159429

Linear OOA(2³⁷, 55, F₂, 7, 10) (dual of [(55, 7), 348, 11]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹, 26, F₂, 7, 5) (dual of [(26, 7), 171, 6]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(2¹¹, 26, F₂, 5, 5) (dual of [(26, 5), 119, 6]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹¹, 26, F₂, 4, 5) (dual of [(26, 4), 93, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (6, 11, 26)-net over F₂, using
      - linear code embedding found in a computer search [i]
linear OOA(2²⁶, 29, F₂, 7, 10) (dual of [(29, 7), 177, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (16, 26, 29)-net over F₂, using
  - 3 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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