MinT - Information on Result #1159616

Information on Result #1159616

Linear OOA(2⁵³, 80, F₂, 7, 13) (dual of [(80, 7), 507, 14]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁶, 42, F₂, 7, 6) (dual of [(42, 7), 278, 7]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2¹⁶, 42, F₂, 6, 6) (dual of [(42, 6), 236, 7]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁶, 42, F₂, 5, 6) (dual of [(42, 5), 194, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (10, 16, 42)-net over F₂, using
      - linear code embedding found in a computer search [i]
linear OOA(2³⁷, 40, F₂, 7, 13) (dual of [(40, 7), 243, 14]-NRT-code), using
- extracting embedded OOA [i] based on digital (24, 37, 40)-net over F₂, using
  - 3 times m-reduction [i] based on digital (24, 40, 40)-net over F₂, using
    - a shift-net [i]

Mode: Constructive and linear.

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