MinT - Information on Result #1175517

Information on Result #1175517

Linear OOA(2⁵⁹, 100, F₂, 8, 13) (dual of [(100, 8), 741, 14]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁸, 64, F₂, 8, 6) (dual of [(64, 8), 494, 7]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(2¹⁸, 64, F₂, 6, 6) (dual of [(64, 6), 366, 7]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁸, 64, F₂, 5, 6) (dual of [(64, 5), 302, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (12, 18, 64)-net over F₂, using
      - linear code embedding found in a computer search [i]
linear OOA(2⁴¹, 50, F₂, 8, 13) (dual of [(50, 8), 359, 14]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹², 21, F₂, 8, 6) (dual of [(21, 8), 156, 7]-NRT-code), using
    - appending 2 arbitrary columns [i] based on linear OOA(2¹², 21, F₂, 6, 6) (dual of [(21, 6), 114, 7]-NRT-code), using
      - appending kth column [i] based on linear OOA(2¹², 21, F₂, 5, 6) (dual of [(21, 5), 93, 7]-NRT-code), using
        extracting embedded OOA [i] based on digital (6, 12, 21)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2²⁹, 29, F₂, 8, 13) (dual of [(29, 8), 203, 14]-NRT-code), using
    - extracting embedded OOA [i] based on digital (16, 29, 29)-net over F₂, using
      - a shift-net [i]

Mode: Constructive and linear.

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