MinT - Information on Result #1175666

Information on Result #1175666

Linear OOA(2⁶², 90, F₂, 8, 15) (dual of [(90, 8), 658, 16]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁹, 47, F₂, 8, 7) (dual of [(47, 8), 357, 8]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2¹⁹, 47, F₂, 7, 7) (dual of [(47, 7), 310, 8]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁹, 47, F₂, 6, 7) (dual of [(47, 6), 263, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (12, 19, 47)-net over F₂, using
      - linear code embedding found in a computer search [i]
linear OOA(2⁴³, 45, F₂, 8, 15) (dual of [(45, 8), 317, 16]-NRT-code), using
- extracting embedded OOA [i] based on digital (28, 43, 45)-net over F₂, using
  - 2 times m-reduction [i] based on digital (28, 45, 45)-net over F₂, using
    - a shift-net [i]

Mode: Constructive and linear.

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