MinT - Information on Result #1175327

Information on Result #1175327

Linear OOA(2³⁶, 53, F₂, 8, 10) (dual of [(53, 8), 388, 11]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹, 26, F₂, 8, 5) (dual of [(26, 8), 197, 6]-NRT-code), using
- appending 3 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(2²⁵, 27, F₂, 8, 10) (dual of [(27, 8), 191, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (15, 25, 27)-net over F₂, using
  - 2 times m-reduction [i] based on digital (15, 27, 27)-net over F₂, using
    - a shift-net [i]

Mode: Constructive and linear.

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